From 478468efbda558fe29af92a6e9ac72f13e731fe7 Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Tue, 29 Nov 2022 16:41:09 +0100 Subject: [PATCH 01/20] Adding technology demonstration guide example #21 --- ...21-example-technology-showcase-buckling.py | 374 ++++++++++++++++++ 1 file changed, 374 insertions(+) create mode 100644 doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py new file mode 100644 index 000000000..6c501f9bb --- /dev/null +++ b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py @@ -0,0 +1,374 @@ +# -*- coding: utf-8 -*- +""" +Created on Fri Sep 2 14:24:13 2022 + +@author: pmaroneh +""" + +""".. _ref_buckling_postbuckling_ring_stiffened_cylinder: + +Buckling and post-buckling analysis of a ring-stiffened +cylinder using nonlinear stabilization +====================================================== + +This examples shows how to use PyMAPDL to import an existing FE model and to +perform a nonlinear buckling and postbuckling analysis using nonlinear +stabilization. The problem uses a stiffened cylinder subjected to uniform +external pressure to show how to find the nonlinear buckling loads, +achieve convergence at the post-buckling stage, and interpret the results. + +This example is inspired from the model and analysis defined in Chapter 21 of +the Mechanical APDL Technology Showcase Manual. + +""" + +############################################################################### +# Setting up model +# ---------------- +# +# The original FE model is given in the Ansys Mechanical APDL Technology +# Showcase Manual. The .cdb contains a FE model of a ring-stiffened cylinder. +# +# A circular cylinder made of bare 2024-T3 aluminum alloy is stiffened inside +# with five Z-section rings. Its ends are closed with thick aluminum bulkheads. +# A riveted L section exists between the top plate and the top ring and the +# bottom plate and bottom ring. +# The cylinder is subjected to a differential external pressure. The pressure +# causes a local buckling phenomenon characterized by buckling of the skin +# between stiffening rings, leading eventually to collapse. +# +# The finite element model of the ring stiffened cylinder is meshed with +# SHELL281 elements with an element size of 10 mm. The fine mesh is required +# for buckling analysis, and a full 360-degree model is necessary because +# the deformation is no longer axisymmetric after buckling occurs. +# +# All shell elements have uniform thickness. Five sections are created in the +# model with no offsets, so the shell sections are offset to the midplane +# by default. +# +# Starting MAPDL as a service and importing an external model +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# + +from ansys.mapdl.core import launch_mapdl +from ansys.mapdl.core.examples import download_tech_demo_data + +# define geometric parameters +bs = 95.3 # Ring spacing (mm) +ts = 1.034 # Skin thickness (mm) +tw = 0.843 # Ring thickness (mm) +r = 344 * ts # Radius of cylinder (mm) +L = 431.8 + 2 * (19 - 9.5) # Length of cylinder (mm) +pext = 0.24 # Differential external pressure (MPa) + +# start MAPDL as a service +mapdl = launch_mapdl() +print(mapdl) + +mapdl.filname("buckling") # change filename +# mapdl.nerr(nmerr=200, nmabt=10000, abort=-1, ifkey=0, num=0) + +# enter preprocessor +mapdl.prep7() + +# define material properties for 2024-T3 Alluminum alloy +EX = 73000 # Young's Modulus (MPA) +ET = 73 # Tangent modulus +mapdl.mp("ex", 1, EX) # Young's Modulus (MPA) +mapdl.mp("prxy", 1, 0.33) # Poisson's ratio +EP = EX * ET / (EX - ET) +mapdl.tb("biso", 1) +mapdl.tbdata(1, 268.9, EP) +# create material plot +mapdl.show("png") +mapdl.tbplot("biso", 1) +mapdl.show("close") + +# define shell elements and their sections +mapdl.et(1, 181) +# cylinder +mapdl.sectype(1, "shell") +mapdl.secdata(ts, 1) +# L +mapdl.sectype(2, "shell") +mapdl.secdata(ts + 1.64, 1) +# Z shaped ring stiffener +mapdl.sectype(3, "shell") +mapdl.secdata(tw, 1) +# Plate at z=0 with thickness=25 mm +mapdl.sectype(4, "shell") +mapdl.secdata(25, 1) +# Plate at z=L with thickness=25 mm +mapdl.sectype(5, "shell") +mapdl.secdata(25, 1) + + +# read model of stiffened cylinder +# download the cdb file +ring_mesh_file = download_tech_demo_data( + "td-21", "ring_stiffened_cylinder_mesh_file.cdb" +) + +# read in cdb +mapdl.cdread("db", ring_mesh_file) +mapdl.allsel() +mapdl.eplot(background="w") +mapdl.cmsel("all") + +############################################################################### +# Define static prestress analysis +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# Displacement boundary conditions are defined to prevent the six rigid body +# motions. A total of six displacements are therefore applied to three nodes +# located on the top plate at 0, 90, and 270 degrees; the nodes are restricted +# so that all rigid translations and rotations are not possible for the +# cylinder. +# +# Loading consists of a uniformly distributed external differential +# pressure: Pext = 0.24 MPa + +mapdl.csys(1) # activate cylindrical coordinate system + +# Define pressure on plate at z=0 +mapdl.nsel("s", "loc", "z", 0) +mapdl.esln("s", 1) +mapdl.sfe("all", 2, "pres", 1, pext) +mapdl.allsel() + +# Define pressure on the rim of plate at z=0 +mapdl.nsel("s", "loc", "z", 0) +mapdl.nsel("r", "loc", "x", r - ts / 2, 760 / 2) +mapdl.esln("s", 1) +mapdl.sfe("all", 1, "pres", 1, pext) +mapdl.allsel() + +# Define pressure on plate at z=L +mapdl.nsel("s", "loc", "z", L) +mapdl.esln("s", 1) +mapdl.sfe("all", 2, "pres", 1, pext) +mapdl.allsel() + +# Define pressure on the rim of plate at z=L +mapdl.nsel("s", "loc", "z", L) +mapdl.nsel("r", "loc", "x", r - ts / 2, 760 / 2) +mapdl.esln("s", 1) +mapdl.sfe("all", 1, "pres", 1, pext) +mapdl.allsel() + +# Define pressure on cylinder +mapdl.nsel("s", "loc", "x", r - ts / 2) +mapdl.esln("s", 1) +mapdl.sfe("all", 2, "pres", 1, pext) +mapdl.allsel() + +# Define displacement BSs to avoid rigid body motion +mapdl.csys(0) # activate cartesian coordinate system +mapdl.nsel("s", "loc", "x", r - ts / 2) +mapdl.nsel("r", "loc", "y", 0) +mapdl.nsel("r", "loc", "z", 0) +mapdl.d("all", "ux", 0) +mapdl.d("all", "uy", 0) +mapdl.d("all", "uz", 0) +mapdl.allsel() +# +mapdl.nsel("s", "loc", "x", 0) +mapdl.nsel("r", "loc", "y", r - ts / 2) +mapdl.nsel("r", "loc", "z", 0) +mapdl.d("all", "uz", 0) +mapdl.allsel() +# +mapdl.nsel("s", "loc", "x", 0) +mapdl.nsel("r", "loc", "y", -(r - ts / 2)) +mapdl.nsel("r", "loc", "z", 0) +mapdl.d("all", "uy", 0) +mapdl.d("all", "uz", 0) +mapdl.allsel() +# + +# Print DOF constraints +print(mapdl.dlist()) + +# Solve static prestress analysis +mapdl.slashsolu() +mapdl.pstres("on") +mapdl.antype("STATIC") +output = mapdl.solve() +print(output) + +# Plot total deformation +mapdl.post1() +mapdl.set("last") +mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +#%% +############################################################################### +# Run linear buckling analysis +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# This preliminary analysis predicts the theoretical buckling pressure of the +# ideal linear elastic structure (perfect cylinder) and the buckled mode shapes +# used in the next step to generate the imperfections. +# It is also an efficient way to check the completeness and +# correctness of modeling. +# To run the linear buckling analysis, a static solution with prestress effects +# must be obtained, followed by the eigenvalue buckling solution using the +# Block Lanczos method and mode expansion. + +# Define and solve linear buckling analysis +mapdl.slashsolu() +mapdl.outres("all", "all") +mapdl.antype("BUCKLE") +mapdl.bucopt("lanb", "10") +mapdl.mxpand(10) +output = mapdl.solve() +print(output) + +# Plot total deformation of first and 10th mode +mapdl.post1() +mapdl.set(1, 1) +mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +mapdl.set(1, 10) +mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +#%% +############################################################################### +# Generate imperfections +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# If a structure is perfectly symmetric, nonsymmetric buckling does not occur +# numerically, and a nonlinear buckling analysis fails because +# nonsymmetric buckling responses cannot be triggered. In this problem, +# the geometry, elements, and pressure are all axisymmetric. +# It is not possible, therefore, to simulate nonaxisymmetric buckling with +# the initial model. To overcome this problem, small geometric imperfections +# (similar to those caused by manufacturing a real structure) must be +# introduced to trigger the buckling responses. +# Because the radius of the cylinder is 355.69 mm and the maximum +# displacement of a mode shape is 1 mm, a factor of 0.1 is applied when +# updating the geometry with mode shapes. The factor assumes the manufacturing +# tolerance of the radius to be on the order of 0.1. +mapdl.finish() +mapdl.prep7() +for i in range(1, 11): + mapdl.upgeom(0.1, 1, i, "buckling", "rst") # Add imperfections as a tenth of each + # mode shape +mapdl.finish() +#%% +############################################################################### +# Run nonlinear static analysis on geometry with imperfections +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# The nonlinear buckling analysis is a static analysis performed after adding +# imperfections with large deflection active (NLGEOM,ON), extended to a point +# where the stiffened cylinder can reach its limit load. +# To perform the analysis, the load must be allowed to increase using very +# small time increments so that the expected critical buckling load can +# be predicted accurately. +# Note - as this is a buckling analysis, divergence is expected. + +mapdl.slashsolu() +mapdl.antype("STATIC") +mapdl.nlgeom("on") +mapdl.pred("on") +mapdl.time(1) +mapdl.nsubst(100, 10000, 10) +mapdl.rescontrol("define", "all", 1) +mapdl.outres("all", "all") +mapdl.ncnv(2) # Do not terminate the program execution if the solution diverges +output = mapdl.solve() +print(output) +mapdl.finish() + +#%% +############################################################################### +# Post-buckling analysis +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# An unconverged solution of the nonlinear static analysis could mean that +# buckling has occurred. In this example, the change in time (or load) +# increment, and displacement value, occurs between substeps 10 and 11, +# which corresponds to TIME = 0.51781 and TIME = 0.53806 and to a pressure +# between 0.124 MPa and 0.129 MPa. It is therefore very likely that buckling +# occurred at this time; to be sure, the analysis is continued. The goal is to +# verify the assessment made at this stage by obtaining the load-displacement +# behavior over a larger range. Because the post-buckling state is unstable, +# special techniques are necessary to compensate, in this case, nonlinear +# stabilization is used. + +mapdl.slashsolu() # Restart analysis with stabilization +mapdl.antype("static", "restart", 1, 10) +mapdl.nsubst(100, 50000, 10) +mapdl.rescontrol("define", "last") +mapdl.stabilize("constant", "energy", 0.000143) # Use energy option +output = mapdl.solve() +print(output) +mapdl.finish() + +#%% +############################################################################### +# Postprocess buckling analysis in POST1 +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# +mapdl.post1() +mapdl.set("last") +mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +mapdl.post_processing.plot_nodal_eqv_stress() +mapdl.finish() +#%% +############################################################################### +# Postprocess buckling analysis in POST26 +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# +mapdl.post26() + + +mapdl.numvar(100) # allow storage for 100 variables +mapdl.enersol(13, "sene") # store stiffness energy +mapdl.enersol(14, "sten") # store artificial stabilization energy + +# time history plot of stiffness and stabilization energies +mapdl.show("png") +mapdl.plvar(13, 14) +mapdl.show("close") + +# pressure versus axial shortening for some nodes under the upper ring +mapdl.nsol(2, 67319, "U", "Z", "UZ1") +mapdl.prod( + ir=3, ia=2, ib="", ic="", name="strain1", facta="", factb="", factc=-1 / 431.8 +) +mapdl.prod(ir=12, ia=1, ib="", ic="", name="Load", facta="", factb="", factc=0.24) +mapdl.xvar(3) +mapdl.show("png") +mapdl.xrange(0.01) +mapdl.yrange(0.24) +mapdl.axlab("X", "Axial Shortening") +mapdl.aylab("Y", "Applied Pressure ") +mapdl.plvar(12) +mapdl.show("close") +mapdl.xvar(3) +mapdl.show("png") +mapdl.xrange(0.002) +mapdl.yrange(1) +mapdl.axlab("X", "Axial Shortening") +mapdl.aylab("Y", "Time") +mapdl.plvar(1) +mapdl.show("close") + +# pressure versus radial displacement for the node with max. deformation +mapdl.nsol(6, 65269, "U", "Y", "UY_1") +mapdl.prod(ir=7, ia=6, ib=6, ic="", name="UY2_1") +mapdl.nsol(8, 65269, "U", "X", "UX_1") +mapdl.prod(ir=9, ia=8, ib=8, ic="", name="UX2_1") +mapdl.add(10, 7, 9, "sum") +mapdl.sqrt(ir=11, ia=10, name="Urad") +mapdl.xvar(11) +mapdl.show("png") +mapdl.xrange(4) +mapdl.yrange(0.24) +mapdl.axlab("X", "Radial Displacement") +mapdl.aylab("Y", "Applied Pressure") +mapdl.plvar(12) +mapdl.show("close") +mapdl.finish() + +#%% +############################################################################### +# Exit MAPDL +# ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +# Exit MAPDL instance + +mapdl.exit() From 3a36435e4ed5a7c202cb3679a653e375ae8ac81e Mon Sep 17 00:00:00 2001 From: Roberto Pastor Muela Date: Thu, 1 Dec 2022 10:49:03 +0100 Subject: [PATCH 02/20] Missing codespell ignored word --- .codespellrc | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/.codespellrc b/.codespellrc index 05fd0a0a9..38edd10ff 100644 --- a/.codespellrc +++ b/.codespellrc @@ -1,4 +1,4 @@ [codespell] skip = *.pyc,*.xml,*.txt,*.gif,*.png,*.jpg,*.js,*.html,*.doctree,*.ttf,*.woff,*.woff2,*.eot,*.mp4,*.inv,*.pickle,*.ipynb,flycheck*,./.git/*,./.hypothesis/*,*.yml,./doc/build/*,./doc/images/*,./dist/*,*~,.hypothesis*,./doc/source/examples/*,*cover,*.dat,*.mac quiet-level = 3 -ignore-words-list = pres,nax,tickness,struc,parm \ No newline at end of file +ignore-words-list = pres,nax,tickness,struc,parm,filname From 0fb0988a938641eb2538db1cb87cea538d66dd8c Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Thu, 1 Dec 2022 11:29:09 +0100 Subject: [PATCH 03/20] Added mapdl.ignore_errors = True so that the server does not exit --- .../techdemo-21/21-example-technology-showcase-buckling.py | 2 ++ 1 file changed, 2 insertions(+) diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py index 6c501f9bb..58c03f2b4 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py +++ b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py @@ -270,6 +270,8 @@ mapdl.rescontrol("define", "all", 1) mapdl.outres("all", "all") mapdl.ncnv(2) # Do not terminate the program execution if the solution diverges +mapdl.ignore_errors = True # in order for PyMAPDL to not raise an error + # when an error is found in the MAPDL output output = mapdl.solve() print(output) mapdl.finish() From 0da6a47689732a8a05b23e8ff19cc5a7c709e70b Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Thu, 1 Dec 2022 11:32:59 +0100 Subject: [PATCH 04/20] correct style --- .../techdemo-21/21-example-technology-showcase-buckling.py | 1 - 1 file changed, 1 deletion(-) diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py index 58c03f2b4..6403b3738 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py +++ b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py @@ -271,7 +271,6 @@ mapdl.outres("all", "all") mapdl.ncnv(2) # Do not terminate the program execution if the solution diverges mapdl.ignore_errors = True # in order for PyMAPDL to not raise an error - # when an error is found in the MAPDL output output = mapdl.solve() print(output) mapdl.finish() From c94e1b95abb8a47cc70998a79f80645a8f539e18 Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Wed, 14 Dec 2022 11:10:37 +0100 Subject: [PATCH 05/20] Use allow_ignore=True --- .../techdemo-21/21-example-technology-showcase-buckling.py | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py index 6403b3738..0531dd5af 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py +++ b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py @@ -270,7 +270,7 @@ mapdl.rescontrol("define", "all", 1) mapdl.outres("all", "all") mapdl.ncnv(2) # Do not terminate the program execution if the solution diverges -mapdl.ignore_errors = True # in order for PyMAPDL to not raise an error +mapdl.allow_ignore=True # in order for PyMAPDL to not raise an error output = mapdl.solve() print(output) mapdl.finish() From 88efb6d379f999e7f0de04e5b125a8377a04357c Mon Sep 17 00:00:00 2001 From: German Date: Thu, 29 Dec 2022 17:05:51 +0100 Subject: [PATCH 06/20] Small fixes --- .../21-example-technology-showcase-buckling.py | 8 +++++--- 1 file changed, 5 insertions(+), 3 deletions(-) diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py index 0531dd5af..4da52dcd9 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py +++ b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py @@ -337,7 +337,7 @@ mapdl.xrange(0.01) mapdl.yrange(0.24) mapdl.axlab("X", "Axial Shortening") -mapdl.aylab("Y", "Applied Pressure ") +mapdl.axlab("Y", "Applied Pressure ") mapdl.plvar(12) mapdl.show("close") mapdl.xvar(3) @@ -345,8 +345,9 @@ mapdl.xrange(0.002) mapdl.yrange(1) mapdl.axlab("X", "Axial Shortening") -mapdl.aylab("Y", "Time") +mapdl.axlab("Y", "Time") mapdl.plvar(1) +mapdl.show("png") mapdl.show("close") # pressure versus radial displacement for the node with max. deformation @@ -361,8 +362,9 @@ mapdl.xrange(4) mapdl.yrange(0.24) mapdl.axlab("X", "Radial Displacement") -mapdl.aylab("Y", "Applied Pressure") +mapdl.axlab("Y", "Applied Pressure") mapdl.plvar(12) +mapdl.show("png") mapdl.show("close") mapdl.finish() From e4303af99cf94f5b251d544f66c21b4ad405f607 Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Wed, 4 Jan 2023 15:59:49 +0100 Subject: [PATCH 07/20] Change structure --- doc/source/conf.py | 2 +- .../technology_showcase_examples/index.rst | 74 +------ doc/source/verif-manual/index.rst | 206 +----------------- tech-demos/readme.rst | 4 + ...21-example-technology-showcase-buckling.py | 0 vms/readme.rst | 4 + 6 files changed, 21 insertions(+), 269 deletions(-) create mode 100644 tech-demos/readme.rst rename {doc/source/technology_showcase_examples/techdemo-21 => tech-demos/techdemo21}/21-example-technology-showcase-buckling.py (100%) create mode 100644 vms/readme.rst diff --git a/doc/source/conf.py b/doc/source/conf.py index 4124e342c..a724301f1 100644 --- a/doc/source/conf.py +++ b/doc/source/conf.py @@ -54,7 +54,7 @@ # convert rst to md for ipynb "pypandoc": True, # path to your examples scripts - "examples_dirs": [], + "examples_dirs": ['../../vms','../../tech-demos'], # path where to save gallery generated examples "gallery_dirs": ["verif-manual", "technology_showcase_examples"], # Pattern to search for example files diff --git a/doc/source/technology_showcase_examples/index.rst b/doc/source/technology_showcase_examples/index.rst index f872dfe84..404382d33 100644 --- a/doc/source/technology_showcase_examples/index.rst +++ b/doc/source/technology_showcase_examples/index.rst @@ -1,81 +1,19 @@ -.. _sphx_glr_technology_showcase_examples: - -Technology Showcases -==================== - -The following examples initially come from the `APDL Technology Showcase Manual -`_. They initially were MAPDL files. They have been reproduced -in Python files using PyMAPDL with the ``ansys-mapdl-core`` library. - -These examples are a work-in-progress and will be extended during the life of -this project. - - - -.. raw:: html - -
- -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_tse-001-brake_squeal_thumb.png - :alt: Brake Squeal Analysis - - :ref:`sphx_glr_ex_0-tecbrakesqueal.py` - -.. raw:: html +:orphan: -
Brake Squeal Analysis
-
-.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_tse-020-PCB_thumb.png - :alt: Dynamic simulation of a printed circuit board assembly - - :ref:`sphx_glr_ex_20-tecPCB.py` - -.. raw:: html - -
Dynamic simulation of a printed circuit board assembly
-
+.. _sphx_glr_technology_showcase_examples: -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_tse-028-fricstir_thumb.png - :alt: Friction Stir Welding (FSW) Simulation - - :ref:`sphx_glr_ex_28-tecfricstir.py` - -.. raw:: html +Title +------- -
Friction Stir Welding (FSW) Simulation
-
+Read me. .. raw:: html -
+
-.. toctree:: - :hidden: - :includehidden: - techdemo-1/ex_0-tecbrakesqueal - techdemo-20/ex_20-tecPCB - techdemo-28/ex_28-tecfricstir .. only:: html diff --git a/doc/source/verif-manual/index.rst b/doc/source/verif-manual/index.rst index 69249f4f8..c5cc1baa6 100644 --- a/doc/source/verif-manual/index.rst +++ b/doc/source/verif-manual/index.rst @@ -1,211 +1,17 @@ -.. _sphx_glr_verif-manual: - -Verification Manual -=================== -This section demonstrates a range of Mechanical APDL elements and -capabilities in straightforward problems which have "classical" or -readily-obtainable theoretical solutions using PyMAPDL. - -These problems may then serve as the basis for additional validation -and qualification of Mechanical APDL capabilities for specific -applications that may be of interest. - - - -.. raw:: html - -
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-001-statically_indeterminate_reaction_force_analysis_thumb.png - :alt: Statically Indeterminate Reaction Force Analysis - - :ref:`sphx_glr_vm-001-statically_indeterminate_reaction_force_analysis.py` - -.. raw:: html - -
Statically Indeterminate Reaction Force Analysis
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-002-beam_stresses_and_deflections_thumb.png - :alt: Beam Stresses and Deflections - - :ref:`sphx_glr_vm-002-beam_stresses_and_deflections.py` - -.. raw:: html - -
Beam Stresses and Deflections
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-003-thermally_loaded_support_structure_thumb.png - :alt: Thermally Loaded Support Structure - - :ref:`sphx_glr_vm-003-thermally_loaded_support_structure.py` - -.. raw:: html - -
Thermally Loaded Support Structure
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-004-deflection_of_a_hinged_support_thumb.png - :alt: Deflection of a Hinged Support - - :ref:`sphx_glr_vm-004-deflection_of_a_hinged_support.py` - -.. raw:: html - -
Deflection of a Hinged Support
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-005-laterally_loaded_tapered_support_structure_thumb.png - :alt: Statically Indeterminate Reaction Force Analysis +:orphan: - :ref:`sphx_glr_vm-005-laterally_loaded_tapered_support_structure.py` -.. raw:: html - -
Statically Indeterminate Reaction Force Analysis
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-006-pinched_cylinder_thumb.png - :alt: Pinched Cylinder - - :ref:`sphx_glr_vm-006-pinched_cylinder.py` - -.. raw:: html - -
Pinched Cylinder
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-007-plastic_compression_of_a_pipe_assembly_thumb.png - :alt: Plastic Compression of a Pipe Assembly - - :ref:`sphx_glr_vm-007-plastic_compression_of_a_pipe_assembly.py` - -.. raw:: html - -
Plastic Compression of a Pipe Assembly
-
- - -.. raw:: html - -
- -.. only:: html - .. image:: images/thumb/sphx_glr_vm-008-parametric_calculation_thumb.png - :alt: Parametric Calculation - - :ref:`sphx_glr_vm-008-parametric_calculation.py` - -.. raw:: html - -
Parametric Calculation
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-009-large_lateral_deflection_of_unequal_stiffness_springs_thumb.png - :alt: Large Lateral Deflection of Unequal Stiffness Springs - - :ref:`sphx_glr_vm-009-large_lateral_deflection_of_unequal_stiffness_springs.py` - -.. raw:: html - -
Large Lateral Deflection of Unequal Stiffness Springs
-
- - -.. raw:: html - -
- -.. only:: html - - .. image:: images/thumb/sphx_glr_vm-010-bending_of_a_t-shaped_beam_thumb.png - :alt: Bending of a Tee-Shaped Beam - - :ref:`sphx_glr_vm-010-bending_of_a_t-shaped_beam.py` - -.. raw:: html +.. _sphx_glr_verif-manual: -
Bending of a Tee-Shaped Beam
-
+Title +------- +Read me. .. raw:: html -
- - -.. toctree:: - :hidden: - :includehidden: - - vm-001/vm-001-statically_indeterminate_reaction_force_analysis - vm-002/vm-002-beam_stresses_and_deflections - vm-003/vm-003-thermally_loaded_support_structure - vm-004/vm-004-deflection_of_a_hinged_support - vm-005/vm-005-laterally_loaded_tapered_support_structure - vm-006/vm-006-pinched_cylinder - vm-007/vm-007-plastic_compression_of_a_pipe_assembly - vm-008/vm-008-parametric_calculation - vm-009/vm-009-large_lateral_deflection_of_unequal_stiffness_springs - vm-010/vm-010-bending_of_a_t-shaped_beam +
diff --git a/tech-demos/readme.rst b/tech-demos/readme.rst new file mode 100644 index 000000000..6b8aaaf7b --- /dev/null +++ b/tech-demos/readme.rst @@ -0,0 +1,4 @@ +Title +------- + +Read me. \ No newline at end of file diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py b/tech-demos/techdemo21/21-example-technology-showcase-buckling.py similarity index 100% rename from doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.py rename to tech-demos/techdemo21/21-example-technology-showcase-buckling.py diff --git a/vms/readme.rst b/vms/readme.rst new file mode 100644 index 000000000..6b8aaaf7b --- /dev/null +++ b/vms/readme.rst @@ -0,0 +1,4 @@ +Title +------- + +Read me. \ No newline at end of file From c3e4f6371005e855a43533331c7c49b3dea74a81 Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Wed, 8 Mar 2023 15:55:44 +0100 Subject: [PATCH 08/20] small modifications to file --- ...21-example-technology-showcase-buckling.py | 33 +++++++++++++++++-- 1 file changed, 30 insertions(+), 3 deletions(-) diff --git a/tech-demos/techdemo21/21-example-technology-showcase-buckling.py b/tech-demos/techdemo21/21-example-technology-showcase-buckling.py index 4da52dcd9..ea471ea2b 100644 --- a/tech-demos/techdemo21/21-example-technology-showcase-buckling.py +++ b/tech-demos/techdemo21/21-example-technology-showcase-buckling.py @@ -62,7 +62,7 @@ pext = 0.24 # Differential external pressure (MPa) # start MAPDL as a service -mapdl = launch_mapdl() +mapdl = launch_mapdl(run_location='D:\PyAnsys\Examples\Buckling_PostBuckling_TD21') print(mapdl) mapdl.filname("buckling") # change filename @@ -127,6 +127,8 @@ # Loading consists of a uniformly distributed external differential # pressure: Pext = 0.24 MPa +print('Begin static prestress analysis') + mapdl.csys(1) # activate cylindrical coordinate system # Define pressure on plate at z=0 @@ -199,6 +201,8 @@ mapdl.post1() mapdl.set("last") mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) + +print('End static prestress analysis') #%% ############################################################################### # Run linear buckling analysis @@ -212,6 +216,8 @@ # must be obtained, followed by the eigenvalue buckling solution using the # Block Lanczos method and mode expansion. +print('Begin linear buckling analysis') + # Define and solve linear buckling analysis mapdl.slashsolu() mapdl.outres("all", "all") @@ -227,6 +233,8 @@ mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) mapdl.set(1, 10) mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) + +print('End linear buckling analysis') #%% ############################################################################### # Generate imperfections @@ -243,12 +251,17 @@ # displacement of a mode shape is 1 mm, a factor of 0.1 is applied when # updating the geometry with mode shapes. The factor assumes the manufacturing # tolerance of the radius to be on the order of 0.1. + +print('Begin adding imperfections') + mapdl.finish() mapdl.prep7() for i in range(1, 11): mapdl.upgeom(0.1, 1, i, "buckling", "rst") # Add imperfections as a tenth of each # mode shape mapdl.finish() + +print('Finish adding imperfections') #%% ############################################################################### # Run nonlinear static analysis on geometry with imperfections @@ -261,6 +274,8 @@ # be predicted accurately. # Note - as this is a buckling analysis, divergence is expected. +print('Begin nonlinear static analysis on imperfect geometry') + mapdl.slashsolu() mapdl.antype("STATIC") mapdl.nlgeom("on") @@ -275,6 +290,8 @@ print(output) mapdl.finish() +print('End nonlinear static analysis on imperfect geometry') + #%% ############################################################################### # Post-buckling analysis @@ -287,33 +304,40 @@ # occurred at this time; to be sure, the analysis is continued. The goal is to # verify the assessment made at this stage by obtaining the load-displacement # behavior over a larger range. Because the post-buckling state is unstable, -# special techniques are necessary to compensate, in this case, nonlinear +# special techniques are necessary to compensate - in this case, nonlinear # stabilization is used. +print('Begin post-buckling analysis') + mapdl.slashsolu() # Restart analysis with stabilization mapdl.antype("static", "restart", 1, 10) mapdl.nsubst(100, 50000, 10) mapdl.rescontrol("define", "last") -mapdl.stabilize("constant", "energy", 0.000143) # Use energy option +mapdl.stabilize("constant", "energy", 0.000145) # Use energy option output = mapdl.solve() print(output) mapdl.finish() +print('End of post-buckling analysis run') + #%% ############################################################################### # Postprocess buckling analysis in POST1 # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ # +print('Begin POST1 postprocessing of post-buckling analysis') mapdl.post1() mapdl.set("last") mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) mapdl.post_processing.plot_nodal_eqv_stress() mapdl.finish() +print('End POST1 postprocessing of post-buckling analysis') #%% ############################################################################### # Postprocess buckling analysis in POST26 # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ # +print('Begin POST26 postprocessing of post-buckling analysis') mapdl.post26() @@ -368,6 +392,8 @@ mapdl.show("close") mapdl.finish() +print('End POST26 postprocessing of post-buckling analysis') + #%% ############################################################################### # Exit MAPDL @@ -375,3 +401,4 @@ # Exit MAPDL instance mapdl.exit() +print('Exited MAPDL') From a103730f49b60b2ae56b57e08e43d0e52e0333ac Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Tue, 14 Mar 2023 11:27:16 +0100 Subject: [PATCH 09/20] Commented out postbuckling analysis --- ...21-example-technology-showcase-buckling.py | 155 ++++++++++-------- 1 file changed, 83 insertions(+), 72 deletions(-) diff --git a/tech-demos/techdemo21/21-example-technology-showcase-buckling.py b/tech-demos/techdemo21/21-example-technology-showcase-buckling.py index ea471ea2b..ee2e7af34 100644 --- a/tech-demos/techdemo21/21-example-technology-showcase-buckling.py +++ b/tech-demos/techdemo21/21-example-technology-showcase-buckling.py @@ -307,92 +307,103 @@ # special techniques are necessary to compensate - in this case, nonlinear # stabilization is used. -print('Begin post-buckling analysis') +# This part of the analysis takes a long time to run so has been commented out. +# To run the post-bukcling analysis, uncomment the code. -mapdl.slashsolu() # Restart analysis with stabilization -mapdl.antype("static", "restart", 1, 10) -mapdl.nsubst(100, 50000, 10) -mapdl.rescontrol("define", "last") -mapdl.stabilize("constant", "energy", 0.000145) # Use energy option -output = mapdl.solve() -print(output) -mapdl.finish() +# print('Begin post-buckling analysis') + +# mapdl.slashsolu() # Restart analysis with stabilization +# mapdl.antype("static", "restart", 1, 10) +# mapdl.nsubst(100, 50000, 10) +# mapdl.rescontrol("define", "last") +# mapdl.stabilize("constant", "energy", 0.000145) # Use energy option +# output = mapdl.solve() +# print(output) +# mapdl.finish() -print('End of post-buckling analysis run') +# print('End of post-buckling analysis run') #%% ############################################################################### # Postprocess buckling analysis in POST1 # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ # -print('Begin POST1 postprocessing of post-buckling analysis') -mapdl.post1() -mapdl.set("last") -mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) -mapdl.post_processing.plot_nodal_eqv_stress() -mapdl.finish() -print('End POST1 postprocessing of post-buckling analysis') + +# Because the post-buckling analysis has been commented out, +# the post-processing is also commented out. + +# print('Begin POST1 postprocessing of post-buckling analysis') +# mapdl.post1() +# mapdl.set("last") +# mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +# mapdl.post_processing.plot_nodal_eqv_stress() +# mapdl.finish() +# print('End POST1 postprocessing of post-buckling analysis') #%% ############################################################################### # Postprocess buckling analysis in POST26 # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ # -print('Begin POST26 postprocessing of post-buckling analysis') -mapdl.post26() - - -mapdl.numvar(100) # allow storage for 100 variables -mapdl.enersol(13, "sene") # store stiffness energy -mapdl.enersol(14, "sten") # store artificial stabilization energy - -# time history plot of stiffness and stabilization energies -mapdl.show("png") -mapdl.plvar(13, 14) -mapdl.show("close") - -# pressure versus axial shortening for some nodes under the upper ring -mapdl.nsol(2, 67319, "U", "Z", "UZ1") -mapdl.prod( - ir=3, ia=2, ib="", ic="", name="strain1", facta="", factb="", factc=-1 / 431.8 -) -mapdl.prod(ir=12, ia=1, ib="", ic="", name="Load", facta="", factb="", factc=0.24) -mapdl.xvar(3) -mapdl.show("png") -mapdl.xrange(0.01) -mapdl.yrange(0.24) -mapdl.axlab("X", "Axial Shortening") -mapdl.axlab("Y", "Applied Pressure ") -mapdl.plvar(12) -mapdl.show("close") -mapdl.xvar(3) -mapdl.show("png") -mapdl.xrange(0.002) -mapdl.yrange(1) -mapdl.axlab("X", "Axial Shortening") -mapdl.axlab("Y", "Time") -mapdl.plvar(1) -mapdl.show("png") -mapdl.show("close") - -# pressure versus radial displacement for the node with max. deformation -mapdl.nsol(6, 65269, "U", "Y", "UY_1") -mapdl.prod(ir=7, ia=6, ib=6, ic="", name="UY2_1") -mapdl.nsol(8, 65269, "U", "X", "UX_1") -mapdl.prod(ir=9, ia=8, ib=8, ic="", name="UX2_1") -mapdl.add(10, 7, 9, "sum") -mapdl.sqrt(ir=11, ia=10, name="Urad") -mapdl.xvar(11) -mapdl.show("png") -mapdl.xrange(4) -mapdl.yrange(0.24) -mapdl.axlab("X", "Radial Displacement") -mapdl.axlab("Y", "Applied Pressure") -mapdl.plvar(12) -mapdl.show("png") -mapdl.show("close") -mapdl.finish() -print('End POST26 postprocessing of post-buckling analysis') +# Because the post-buckling analysis has been commented out, +# the post-processing is also commented out. + +# print('Begin POST26 postprocessing of post-buckling analysis') +# mapdl.post26() + + +# mapdl.numvar(100) # allow storage for 100 variables +# mapdl.enersol(13, "sene") # store stiffness energy +# mapdl.enersol(14, "sten") # store artificial stabilization energy + +# # time history plot of stiffness and stabilization energies +# mapdl.show("png") +# mapdl.plvar(13, 14) +# mapdl.show("close") + +# # pressure versus axial shortening for some nodes under the upper ring +# mapdl.nsol(2, 67319, "U", "Z", "UZ1") +# mapdl.prod( +# ir=3, ia=2, ib="", ic="", name="strain1", facta="", factb="", factc=-1 / 431.8 +# ) +# mapdl.prod(ir=12, ia=1, ib="", ic="", name="Load", facta="", factb="", factc=0.24) +# mapdl.xvar(3) +# mapdl.show("png") +# mapdl.xrange(0.01) +# mapdl.yrange(0.24) +# mapdl.axlab("X", "Axial Shortening") +# mapdl.axlab("Y", "Applied Pressure ") +# mapdl.plvar(12) +# mapdl.show("close") +# mapdl.xvar(3) +# mapdl.show("png") +# mapdl.xrange(0.002) +# mapdl.yrange(1) +# mapdl.axlab("X", "Axial Shortening") +# mapdl.axlab("Y", "Time") +# mapdl.plvar(1) +# mapdl.show("png") +# mapdl.show("close") + +# # pressure versus radial displacement for the node with max. deformation +# mapdl.nsol(6, 65269, "U", "Y", "UY_1") +# mapdl.prod(ir=7, ia=6, ib=6, ic="", name="UY2_1") +# mapdl.nsol(8, 65269, "U", "X", "UX_1") +# mapdl.prod(ir=9, ia=8, ib=8, ic="", name="UX2_1") +# mapdl.add(10, 7, 9, "sum") +# mapdl.sqrt(ir=11, ia=10, name="Urad") +# mapdl.xvar(11) +# mapdl.show("png") +# mapdl.xrange(4) +# mapdl.yrange(0.24) +# mapdl.axlab("X", "Radial Displacement") +# mapdl.axlab("Y", "Applied Pressure") +# mapdl.plvar(12) +# mapdl.show("png") +# mapdl.show("close") +# mapdl.finish() + +# print('End POST26 postprocessing of post-buckling analysis') #%% ############################################################################### From 2d17d37be662db1ba1dc1e0dc68912c6aa16e0f4 Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Tue, 14 Mar 2023 11:48:33 +0100 Subject: [PATCH 10/20] run pre-commit --- .gitignore | 2 ++ ...21-example-technology-showcase-buckling.py | 22 +++++++++---------- 2 files changed, 13 insertions(+), 11 deletions(-) diff --git a/.gitignore b/.gitignore index 12b7f3fae..76d513115 100644 --- a/.gitignore +++ b/.gitignore @@ -157,3 +157,5 @@ cython_debug/ #.idea/ # End of https://www.toptal.com/developers/gitignore/api/python + +PyMAPDL_Dev \ No newline at end of file diff --git a/tech-demos/techdemo21/21-example-technology-showcase-buckling.py b/tech-demos/techdemo21/21-example-technology-showcase-buckling.py index ee2e7af34..daf2f30f5 100644 --- a/tech-demos/techdemo21/21-example-technology-showcase-buckling.py +++ b/tech-demos/techdemo21/21-example-technology-showcase-buckling.py @@ -62,7 +62,7 @@ pext = 0.24 # Differential external pressure (MPa) # start MAPDL as a service -mapdl = launch_mapdl(run_location='D:\PyAnsys\Examples\Buckling_PostBuckling_TD21') +mapdl = launch_mapdl(run_location="D:\PyAnsys\Examples\Buckling_PostBuckling_TD21") print(mapdl) mapdl.filname("buckling") # change filename @@ -127,7 +127,7 @@ # Loading consists of a uniformly distributed external differential # pressure: Pext = 0.24 MPa -print('Begin static prestress analysis') +print("Begin static prestress analysis") mapdl.csys(1) # activate cylindrical coordinate system @@ -202,7 +202,7 @@ mapdl.set("last") mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) -print('End static prestress analysis') +print("End static prestress analysis") #%% ############################################################################### # Run linear buckling analysis @@ -216,7 +216,7 @@ # must be obtained, followed by the eigenvalue buckling solution using the # Block Lanczos method and mode expansion. -print('Begin linear buckling analysis') +print("Begin linear buckling analysis") # Define and solve linear buckling analysis mapdl.slashsolu() @@ -234,7 +234,7 @@ mapdl.set(1, 10) mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) -print('End linear buckling analysis') +print("End linear buckling analysis") #%% ############################################################################### # Generate imperfections @@ -252,7 +252,7 @@ # updating the geometry with mode shapes. The factor assumes the manufacturing # tolerance of the radius to be on the order of 0.1. -print('Begin adding imperfections') +print("Begin adding imperfections") mapdl.finish() mapdl.prep7() @@ -261,7 +261,7 @@ # mode shape mapdl.finish() -print('Finish adding imperfections') +print("Finish adding imperfections") #%% ############################################################################### # Run nonlinear static analysis on geometry with imperfections @@ -274,7 +274,7 @@ # be predicted accurately. # Note - as this is a buckling analysis, divergence is expected. -print('Begin nonlinear static analysis on imperfect geometry') +print("Begin nonlinear static analysis on imperfect geometry") mapdl.slashsolu() mapdl.antype("STATIC") @@ -285,12 +285,12 @@ mapdl.rescontrol("define", "all", 1) mapdl.outres("all", "all") mapdl.ncnv(2) # Do not terminate the program execution if the solution diverges -mapdl.allow_ignore=True # in order for PyMAPDL to not raise an error +mapdl.allow_ignore = True # in order for PyMAPDL to not raise an error output = mapdl.solve() print(output) mapdl.finish() -print('End nonlinear static analysis on imperfect geometry') +print("End nonlinear static analysis on imperfect geometry") #%% ############################################################################### @@ -412,4 +412,4 @@ # Exit MAPDL instance mapdl.exit() -print('Exited MAPDL') +print("Exited MAPDL") From 61aff024066485a8bbcf34df47f55d3dc795fecf Mon Sep 17 00:00:00 2001 From: German Date: Tue, 14 Mar 2023 19:10:37 +0800 Subject: [PATCH 11/20] Activating techdemos building --- doc/source/conf.py | 2 +- examples/tech-demos/readme.rst | 9 +++++++++ .../21-example-technology-showcase-buckling.py | 0 examples/verif-manual/{README.txt => readme.rst} | 0 tech-demos/readme.rst | 4 ---- 5 files changed, 10 insertions(+), 5 deletions(-) create mode 100644 examples/tech-demos/readme.rst rename {tech-demos => examples/tech-demos}/techdemo21/21-example-technology-showcase-buckling.py (100%) rename examples/verif-manual/{README.txt => readme.rst} (100%) delete mode 100644 tech-demos/readme.rst diff --git a/doc/source/conf.py b/doc/source/conf.py index 852afd3bb..bbf9748d2 100644 --- a/doc/source/conf.py +++ b/doc/source/conf.py @@ -61,7 +61,7 @@ # convert rst to md for ipynb "pypandoc": True, # path to your examples scripts - "examples_dirs": ["../../examples/verif-manual"], + "examples_dirs": ["../../examples/verif-manual", "../../examples/tech-demos"], # path where to save gallery generated examples "gallery_dirs": ["verif-manual", "technology_showcase_examples"], # Pattern to search for example files diff --git a/examples/tech-demos/readme.rst b/examples/tech-demos/readme.rst new file mode 100644 index 000000000..637287eae --- /dev/null +++ b/examples/tech-demos/readme.rst @@ -0,0 +1,9 @@ +.. _ref_techdemos_examples: + +========================================= +Technology showcase demostration examples +========================================= + +This section demonstrates a range of Mechanical APDL elements and capabilities +in straightforward problems which have “classical” or readily-obtainable +theoretical solutions using PyMAPDL. diff --git a/tech-demos/techdemo21/21-example-technology-showcase-buckling.py b/examples/tech-demos/techdemo21/21-example-technology-showcase-buckling.py similarity index 100% rename from tech-demos/techdemo21/21-example-technology-showcase-buckling.py rename to examples/tech-demos/techdemo21/21-example-technology-showcase-buckling.py diff --git a/examples/verif-manual/README.txt b/examples/verif-manual/readme.rst similarity index 100% rename from examples/verif-manual/README.txt rename to examples/verif-manual/readme.rst diff --git a/tech-demos/readme.rst b/tech-demos/readme.rst deleted file mode 100644 index 6b8aaaf7b..000000000 --- a/tech-demos/readme.rst +++ /dev/null @@ -1,4 +0,0 @@ -Title -------- - -Read me. \ No newline at end of file From 0c52e5a2cd76c983636cb79b3ab89c7f05f24057 Mon Sep 17 00:00:00 2001 From: German Date: Tue, 14 Mar 2023 20:00:29 +0800 Subject: [PATCH 12/20] Fixing title --- examples/tech-demos/readme.rst | 6 +++--- 1 file changed, 3 insertions(+), 3 deletions(-) diff --git a/examples/tech-demos/readme.rst b/examples/tech-demos/readme.rst index 637287eae..d19916bf3 100644 --- a/examples/tech-demos/readme.rst +++ b/examples/tech-demos/readme.rst @@ -1,8 +1,8 @@ .. _ref_techdemos_examples: -========================================= -Technology showcase demostration examples -========================================= +========================================== +Technology showcase demonstration examples +========================================== This section demonstrates a range of Mechanical APDL elements and capabilities in straightforward problems which have “classical” or readily-obtainable From 06ae2b8780fffb2763b24094e6bda89e941d0d0f Mon Sep 17 00:00:00 2001 From: German Date: Tue, 14 Mar 2023 20:35:43 +0800 Subject: [PATCH 13/20] Flattening file structure --- .../{techdemo21 => }/21-example-technology-showcase-buckling.py | 0 1 file changed, 0 insertions(+), 0 deletions(-) rename examples/tech-demos/{techdemo21 => }/21-example-technology-showcase-buckling.py (100%) diff --git a/examples/tech-demos/techdemo21/21-example-technology-showcase-buckling.py b/examples/tech-demos/21-example-technology-showcase-buckling.py similarity index 100% rename from examples/tech-demos/techdemo21/21-example-technology-showcase-buckling.py rename to examples/tech-demos/21-example-technology-showcase-buckling.py From bef10960fad2d0c7542b2a71f6f9c7ada7a1d181 Mon Sep 17 00:00:00 2001 From: Pernelle Marone-Hitz Date: Wed, 22 Mar 2023 12:08:23 +0100 Subject: [PATCH 14/20] Last edits to buckling example --- .gitignore | 6 +- doc/source/conf.py | 2 +- ...1-example-technology-showcase-buckling.png | Bin 0 -> 145248 bytes .../technology_showcase_examples/index.rst | 28 +- ...1-example-technology-showcase-buckling.rst | 1663 +++++++++++++++++ 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doc/source/technology_showcase_examples/images/thumb/sphx_glr_21-example-technology-showcase-buckling.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_000.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_001.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_002.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_003.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_004.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_005.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_006.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_007.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_008.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_009.png create mode 100644 doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_010.png diff --git a/.gitignore b/.gitignore index 76d513115..155f5b82c 100644 --- a/.gitignore +++ b/.gitignore @@ -158,4 +158,8 @@ cython_debug/ # End of https://www.toptal.com/developers/gitignore/api/python -PyMAPDL_Dev \ No newline at end of file +PyMAPDL_Dev +doc/source/technology_showcase_examples/*.ipynb +doc/source/technology_showcase_examples/*.py +doc/source/technology_showcase_examples/*.md5 +doc/source/technology_showcase_examples/*.pickle \ No newline at end of file diff --git a/doc/source/conf.py b/doc/source/conf.py index bbf9748d2..852afd3bb 100644 --- a/doc/source/conf.py +++ b/doc/source/conf.py @@ -61,7 +61,7 @@ # convert rst to md for ipynb "pypandoc": True, # path to your examples scripts - "examples_dirs": ["../../examples/verif-manual", "../../examples/tech-demos"], + "examples_dirs": ["../../examples/verif-manual"], # path where to save gallery generated examples "gallery_dirs": ["verif-manual", "technology_showcase_examples"], # Pattern to search for example files diff --git a/doc/source/technology_showcase_examples/images/thumb/sphx_glr_21-example-technology-showcase-buckling.png 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reproduced in Python files using PyMAPDL with the ``ansys-mapdl-core`` library. .. raw:: html @@ -65,6 +71,24 @@ Read me. +.. raw:: html + +

+ + + + .. raw:: html
diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst new file mode 100644 index 000000000..57f942a77 --- /dev/null +++ b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst @@ -0,0 +1,1663 @@ +.. rst-class:: sphx-glr-example-title + +.. _sphx_glr_technology_showcase_examples_21-example-technology-showcase-buckling.py: + + +.. _ref_buckling_postbuckling_ring_stiffened_cylinder: + +Buckling and post-buckling analysis of a ring-stiffened +cylinder using nonlinear stabilization +====================================================== + +This examples shows how to use PyMAPDL to import an existing FE model and to +perform a nonlinear buckling and postbuckling analysis using nonlinear +stabilization. The problem uses a stiffened cylinder subjected to uniform +external pressure to show how to find the nonlinear buckling loads, +achieve convergence at the post-buckling stage, and interpret the results. + +This example is inspired from the model and analysis defined in Chapter 21 of +the Mechanical APDL Technology Showcase Manual. + + +Setting up model +---------------- + +The original FE model is given in the Ansys Mechanical APDL Technology +Showcase Manual. The .cdb contains a FE model of a ring-stiffened cylinder. + +A circular cylinder made of bare 2024-T3 aluminum alloy is stiffened inside +with five Z-section rings. Its ends are closed with thick aluminum bulkheads. +A riveted L section exists between the top plate and the top ring and the +bottom plate and bottom ring. +The cylinder is subjected to a differential external pressure. The pressure +causes a local buckling phenomenon characterized by buckling of the skin +between stiffening rings, leading eventually to collapse. + +The finite element model of the ring stiffened cylinder is meshed with +SHELL281 elements with an element size of 10 mm. The fine mesh is required +for buckling analysis, and a full 360-degree model is necessary because +the deformation is no longer axisymmetric after buckling occurs. + +All shell elements have uniform thickness. Five sections are created in the +model with no offsets, so the shell sections are offset to the midplane +by default. + +Starting MAPDL as a service and importing an external model +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + +.. GENERATED FROM PYTHON SOURCE LINES 52-118 + +.. code-block:: python + + + from ansys.mapdl.core import launch_mapdl + from ansys.mapdl.core.examples import download_tech_demo_data + + # define geometric parameters + bs = 95.3 # Ring spacing (mm) + ts = 1.034 # Skin thickness (mm) + tw = 0.843 # Ring thickness (mm) + r = 344 * ts # Radius of cylinder (mm) + L = 431.8 + 2 * (19 - 9.5) # Length of cylinder (mm) + pext = 0.24 # Differential external pressure (MPa) + + # start MAPDL as a service + mapdl = launch_mapdl(run_location="D:\PyAnsys\Examples\Buckling_PostBuckling_TD21") + print(mapdl) + + mapdl.filname("buckling") # change filename + # mapdl.nerr(nmerr=200, nmabt=10000, abort=-1, ifkey=0, num=0) + + # enter preprocessor + mapdl.prep7() + + # define material properties for 2024-T3 Alluminum alloy + EX = 73000 # Young's Modulus (MPA) + ET = 73 # Tangent modulus + mapdl.mp("ex", 1, EX) # Young's Modulus (MPA) + mapdl.mp("prxy", 1, 0.33) # Poisson's ratio + EP = EX * ET / (EX - ET) + mapdl.tb("biso", 1) + mapdl.tbdata(1, 268.9, EP) + # create material plot + mapdl.show("png") + mapdl.tbplot("biso", 1) + mapdl.show("close") + + # define shell elements and their sections + mapdl.et(1, 181) + # cylinder + mapdl.sectype(1, "shell") + mapdl.secdata(ts, 1) + # L + mapdl.sectype(2, "shell") + mapdl.secdata(ts + 1.64, 1) + # Z shaped ring stiffener + mapdl.sectype(3, "shell") + mapdl.secdata(tw, 1) + # Plate at z=0 with thickness=25 mm + mapdl.sectype(4, "shell") + mapdl.secdata(25, 1) + # Plate at z=L with thickness=25 mm + mapdl.sectype(5, "shell") + mapdl.secdata(25, 1) + + + # read model of stiffened cylinder + # download the cdb file + ring_mesh_file = download_tech_demo_data( + "td-21", "ring_stiffened_cylinder_mesh_file.cdb" + ) + + # read in cdb + mapdl.cdread("db", ring_mesh_file) + mapdl.allsel() + mapdl.eplot(background="w") + mapdl.cmsel("all") + +.. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_000.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_000.png + :class: sphx-glr-single-img + + +.. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_001.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_001.png + :class: sphx-glr-single-img + + +.. rst-class:: sphx-glr-script-out + + .. code-block:: none + + Product: Ansys Mechanical Enterprise + MAPDL Version: 23.1 + ansys.mapdl Version: 0.65.dev0 + + + ALSO SELECT ALL COMPONENTS + + + +.. GENERATED FROM PYTHON SOURCE LINES 119-129 + +Define static prestress analysis +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +Displacement boundary conditions are defined to prevent the six rigid body +motions. A total of six displacements are therefore applied to three nodes +located on the top plate at 0, 90, and 270 degrees; the nodes are restricted +so that all rigid translations and rotations are not possible for the +cylinder. + +Loading consists of a uniformly distributed external differential +pressure: Pext = 0.24 MPa + +.. GENERATED FROM PYTHON SOURCE LINES 129-206 + +.. code-block:: python + + + print("Begin static prestress analysis") + + mapdl.csys(1) # activate cylindrical coordinate system + + # Define pressure on plate at z=0 + mapdl.nsel("s", "loc", "z", 0) + mapdl.esln("s", 1) + mapdl.sfe("all", 2, "pres", 1, pext) + mapdl.allsel() + + # Define pressure on the rim of plate at z=0 + mapdl.nsel("s", "loc", "z", 0) + mapdl.nsel("r", "loc", "x", r - ts / 2, 760 / 2) + mapdl.esln("s", 1) + mapdl.sfe("all", 1, "pres", 1, pext) + mapdl.allsel() + + # Define pressure on plate at z=L + mapdl.nsel("s", "loc", "z", L) + mapdl.esln("s", 1) + mapdl.sfe("all", 2, "pres", 1, pext) + mapdl.allsel() + + # Define pressure on the rim of plate at z=L + mapdl.nsel("s", "loc", "z", L) + mapdl.nsel("r", "loc", "x", r - ts / 2, 760 / 2) + mapdl.esln("s", 1) + mapdl.sfe("all", 1, "pres", 1, pext) + mapdl.allsel() + + # Define pressure on cylinder + mapdl.nsel("s", "loc", "x", r - ts / 2) + mapdl.esln("s", 1) + mapdl.sfe("all", 2, "pres", 1, pext) + mapdl.allsel() + + # Define displacement BSs to avoid rigid body motion + mapdl.csys(0) # activate cartesian coordinate system + mapdl.nsel("s", "loc", "x", r - ts / 2) + mapdl.nsel("r", "loc", "y", 0) + mapdl.nsel("r", "loc", "z", 0) + mapdl.d("all", "ux", 0) + mapdl.d("all", "uy", 0) + mapdl.d("all", "uz", 0) + mapdl.allsel() + # + mapdl.nsel("s", "loc", "x", 0) + mapdl.nsel("r", "loc", "y", r - ts / 2) + mapdl.nsel("r", "loc", "z", 0) + mapdl.d("all", "uz", 0) + mapdl.allsel() + # + mapdl.nsel("s", "loc", "x", 0) + mapdl.nsel("r", "loc", "y", -(r - ts / 2)) + mapdl.nsel("r", "loc", "z", 0) + mapdl.d("all", "uy", 0) + mapdl.d("all", "uz", 0) + mapdl.allsel() + # + + # Print DOF constraints + print(mapdl.dlist()) + + # Solve static prestress analysis + mapdl.slashsolu() + mapdl.pstres("on") + mapdl.antype("STATIC") + output = mapdl.solve() + print(output) + + # Plot total deformation + mapdl.post1() + mapdl.set("last") + mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) + + print("End static prestress analysis") + + + +.. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_002.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_002.png + :class: sphx-glr-single-img + + +.. rst-class:: sphx-glr-script-out + + .. code-block:: none + + Begin static prestress analysis + LIST CONSTRAINTS FOR SELECTED NODES 1 TO 85474 BY 1 + CURRENTLY SELECTED DOF SET= UX UY UZ ROTX ROTY ROTZ + *****MAPDL VERIFICATION RUN ONLY***** + DO NOT USE RESULTS FOR PRODUCTION + + NODE LABEL REAL IMAG + 1 UX 0.00000000 0.00000000 + 1 UY 0.00000000 0.00000000 + 1 UZ 0.00000000 0.00000000 + 2 UZ 0.00000000 0.00000000 + 902 UY 0.00000000 0.00000000 + 902 UZ 0.00000000 0.00000000 + ***** MAPDL SOLVE COMMAND ***** + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + There is no title defined for this analysis. + + *** WARNING *** CP = 0.000 TIME= 00:00:00 + Section ID set 2 (and possibly others), with only 1 layer and 3 + integration points, is associated with material plasticity. The + number of integration points will be changed to 5 for improved + accuracy. + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + The model data was checked and warning messages were found. + Please review output or errors file ( ) for these warning messages. + + *** SELECTION OF ELEMENT TECHNOLOGIES FOR APPLICABLE ELEMENTS *** + ---GIVE SUGGESTIONS ONLY--- + + ELEMENT TYPE 1 IS SHELL281. IT IS ASSOCIATED WITH ELASTOPLASTIC + MATERIALS ONLY. KEYOPT(8)=2 IS SUGGESTED. + + + *****MAPDL VERIFICATION RUN ONLY***** + DO NOT USE RESULTS FOR PRODUCTION + + S O L U T I O N O P T I O N S + + PROBLEM DIMENSIONALITY. . . . . . . . . . . . .3-D + DEGREES OF FREEDOM. . . . . . UX UY UZ ROTX ROTY ROTZ + ANALYSIS TYPE . . . . . . . . . . . . . . . . .STATIC (STEADY-STATE) + PRESTRESS EFFECTS CALCULATED. . . . . . . . . .YES + PLASTIC MATERIAL PROPERTIES INCLUDED. . . . . .YES + NEWTON-RAPHSON OPTION . . . . . . . . . . . . .PROGRAM CHOSEN + GLOBALLY ASSEMBLED MATRIX . . . . . . . . . . .SYMMETRIC + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + Present time 0 is less than or equal to the previous time. Time will + default to 1. + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + This nonlinear analysis defaults to using the full Newton-Raphson + solution procedure. This can be modified using the NROPT command. + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + The conditions for direct assembly have been met. No .emat or .erot + files will be produced. + + *** WARNING *** CP = 0.000 TIME= 00:00:00 + The program chosen initial timestep/load-factor is arbitrary. It is + necessary for the user to supply a suitable initial + timestep/load-factor through the NSUB or DELTIM command for + convergence and overall efficiency. + + + + D I S T R I B U T E D D O M A I N D E C O M P O S E R + + ...Number of elements: 26796 + ...Number of nodes: 73662 + ...Decompose to 0 CPU domains + ...Element load balance ratio = 0.000 + + + L O A D S T E P O P T I O N S + + LOAD STEP NUMBER. . . . . . . . . . . . . . . . 1 + TIME AT END OF THE LOAD STEP. . . . . . . . . . 1.0000 + AUTOMATIC TIME STEPPING . . . . . . . . . . . . ON + INITIAL NUMBER OF SUBSTEPS . . . . . . . . . 1 + MAXIMUM NUMBER OF SUBSTEPS . . . . . . . . . 1000 + MINIMUM NUMBER OF SUBSTEPS . . . . . . . . . 1 + START WITH TIME STEP FROM PREVIOUS SUBSTEP . YES + MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. . . . 15 + STEP CHANGE BOUNDARY CONDITIONS . . . . . . . . NO + TERMINATE ANALYSIS IF NOT CONVERGED . . . . . .YES (EXIT) + CONVERGENCE CONTROLS. . . . . . . . . . . . . .USE DEFAULTS + COPY INTEGRATION POINT VALUES TO NODE . . . . .YES, FOR ELEMENTS WITH + ACTIVE MAT. NONLINEARITIES + PRINT OUTPUT CONTROLS . . . . . . . . . . . . .NO PRINTOUT + DATABASE OUTPUT CONTROLS. . . . . . . . . . . .ALL DATA WRITTEN + FOR THE LAST SUBSTEP + + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + Predictor is ON by default for structural elements with rotational + degrees of freedom. Use the PRED,OFF command to turn the predictor + OFF if it adversely affects the convergence. + + + Range of element maximum matrix coefficients in global coordinates + Maximum = 489978589 at element 0. + Minimum = 165335.668 at element 0. + + *** ELEMENT MATRIX FORMULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 26796 SHELL281 0.000 0.000000 + Time at end of element matrix formulation CP = 0. + + ALL CURRENT MAPDL DATA WRITTEN TO FILE NAME= + FOR POSSIBLE RESUME FROM THIS POINT + FORCE CONVERGENCE VALUE = 3478. CRITERION= 17.39 + MOMENT CONVERGENCE VALUE = 0.000 CRITERION= 15.96 + + DISTRIBUTED SPARSE MATRIX DIRECT SOLVER. + Number of equations = 441966, Maximum wavefront = 0 + Memory available (MB) = 0.0 , Memory required (MB) = 0.0 + + Distributed sparse solver maximum pivot= 0 at node 0 . + Distributed sparse solver minimum pivot= 0 at node 0 . + Distributed sparse solver minimum pivot in absolute value= 0 at node 0 + . + DISP CONVERGENCE VALUE = 2.213 CRITERION= 0.1106 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -2.213 + FORCE CONVERGENCE VALUE = 0.5808E-05 CRITERION= 17.39 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.2147E-05 CRITERION= 15.96 <<< CONVERGED + + *** WARNING *** CP = 0.000 TIME= 00:00:00 + A reference moment value times the tolerance is used by the + Newton-Raphson method for checking convergence. The calculated + reference MOMENT CONVERGENCE VALUE = 0 is less than a threshold. This + threshold is internally calculated. You can overwrite it by + specifying MINREF on the CNVTOL command. Check results carefully. + DISP CONVERGENCE VALUE = 0.7695E-09 CRITERION= 0.1106 <<< CONVERGED + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC = 0.7695E-09 + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 2 + + *** ELEMENT RESULT CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 26796 SHELL281 0.000 0.000000 + + *** NODAL LOAD CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 26796 SHELL281 0.000 0.000000 + *** LOAD STEP 1 SUBSTEP 1 COMPLETED. CUM ITER = 2 + *** TIME = 1.00000 TIME INC = 1.00000 + End static prestress analysis + + + + +.. GENERATED FROM PYTHON SOURCE LINES 207-218 + +############################################################################## + Run linear buckling analysis + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + This preliminary analysis predicts the theoretical buckling pressure of the + ideal linear elastic structure (perfect cylinder) and the buckled mode shapes + used in the next step to generate the imperfections. + It is also an efficient way to check the completeness and + correctness of modeling. + To run the linear buckling analysis, a static solution with prestress effects + must be obtained, followed by the eigenvalue buckling solution using the + Block Lanczos method and mode expansion. + +.. GENERATED FROM PYTHON SOURCE LINES 218-238 + +.. code-block:: python + + + print("Begin linear buckling analysis") + + # Define and solve linear buckling analysis + mapdl.slashsolu() + mapdl.outres("all", "all") + mapdl.antype("BUCKLE") + mapdl.bucopt("lanb", "10") + mapdl.mxpand(10) + output = mapdl.solve() + print(output) + + # Plot total deformation of first and 10th mode + mapdl.post1() + mapdl.set(1, 1) + mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) + mapdl.set(1, 10) + mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) + + print("End linear buckling analysis") + + + +.. rst-class:: sphx-glr-horizontal + + + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_003.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_003.png + :class: sphx-glr-multi-img + + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_004.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_004.png + :class: sphx-glr-multi-img + + +.. rst-class:: sphx-glr-script-out + + .. code-block:: none + + Begin linear buckling analysis + ***** MAPDL SOLVE COMMAND ***** + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + There is no title defined for this analysis. + + *** SELECTION OF ELEMENT TECHNOLOGIES FOR APPLICABLE ELEMENTS *** + ---GIVE SUGGESTIONS ONLY--- + + ELEMENT TYPE 1 IS SHELL281. IT IS ASSOCIATED WITH ELASTOPLASTIC + MATERIALS ONLY. KEYOPT(8)=2 IS SUGGESTED. + + + *****MAPDL VERIFICATION RUN ONLY***** + DO NOT USE RESULTS FOR PRODUCTION + + S O L U T I O N O P T I O N S + + PROBLEM DIMENSIONALITY. . . . . . . . . . . . .3-D + DEGREES OF FREEDOM. . . . . . UX UY UZ ROTX ROTY ROTZ + ANALYSIS TYPE . . . . . . . . . . . . . . . . .BUCKLING + EXTRACTION METHOD. . . . . . . . . . . . . .BLOCK LANCZOS + PRESTRESS EFFECTS INCLUDED IF AVAILABLE . . . .YES + GLOBALLY ASSEMBLED MATRIX . . . . . . . . . . .SYMMETRIC + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + The conditions for direct assembly have been met. No .emat or .erot + files will be produced. + + L O A D S T E P O P T I O N S + + LOAD STEP NUMBER. . . . . . . . . . . . . . . . 1 + PRINT OUTPUT CONTROLS . . . . . . . . . . . . .NO PRINTOUT + DATABASE OUTPUT CONTROLS + ITEM FREQUENCY COMPONENT + ALL ALL + + + BLOCK LANCZOS CALCULATION OF UP TO 10 EIGENVECTORS. + NUMBER OF EQUATIONS = 441966 + MAXIMUM WAVEFRONT = 0 + MAXIMUM MODES STORED = 10 + MINIMUM EIGENVALUE = -0.10000E+31 + MAXIMUM EIGENVALUE = 0.10000E+31 + CENTER EIGENVALUE = 0.00000E+00 + + *****MAPDL VERIFICATION RUN ONLY***** + DO NOT USE RESULTS FOR PRODUCTION + + ***** EIGENVALUES (LOAD MULTIPLIERS FOR BUCKLING) ***** + *** FROM BLOCK LANCZOS ITERATION *** + + SHAPE NUMBER LOAD MULTIPLIER + + 1 0.62493510 + 2 0.62493510 + 3 0.62746216 + 4 0.62748425 + 5 0.63023610 + 6 0.63025918 + 7 0.63985985 + 8 0.63985995 + 9 0.64191573 + 10 0.64191576 + End linear buckling analysis + + + + +.. GENERATED FROM PYTHON SOURCE LINES 239-254 + +############################################################################## + Generate imperfections + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + If a structure is perfectly symmetric, nonsymmetric buckling does not occur + numerically, and a nonlinear buckling analysis fails because + nonsymmetric buckling responses cannot be triggered. In this problem, + the geometry, elements, and pressure are all axisymmetric. + It is not possible, therefore, to simulate nonaxisymmetric buckling with + the initial model. To overcome this problem, small geometric imperfections + (similar to those caused by manufacturing a real structure) must be + introduced to trigger the buckling responses. + Because the radius of the cylinder is 355.69 mm and the maximum + displacement of a mode shape is 1 mm, a factor of 0.1 is applied when + updating the geometry with mode shapes. The factor assumes the manufacturing + tolerance of the radius to be on the order of 0.1. + +.. GENERATED FROM PYTHON SOURCE LINES 254-265 + +.. code-block:: python + + + print("Begin adding imperfections") + + mapdl.finish() + mapdl.prep7() + for i in range(1, 11): + mapdl.upgeom(0.1, 1, i, "buckling", "rst") # Add imperfections as a tenth of each + # mode shape + mapdl.finish() + + print("Finish adding imperfections") + + + + +.. rst-class:: sphx-glr-script-out + + .. code-block:: none + + Begin adding imperfections + Finish adding imperfections + + + + +.. GENERATED FROM PYTHON SOURCE LINES 266-276 + +############################################################################## + Run nonlinear static analysis on geometry with imperfections + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + The nonlinear buckling analysis is a static analysis performed after adding + imperfections with large deflection active (NLGEOM,ON), extended to a point + where the stiffened cylinder can reach its limit load. + To perform the analysis, the load must be allowed to increase using very + small time increments so that the expected critical buckling load can + be predicted accurately. + Note - as this is a buckling analysis, divergence is expected. + +.. GENERATED FROM PYTHON SOURCE LINES 276-295 + +.. code-block:: python + + + print("Begin nonlinear static analysis on imperfect geometry") + + mapdl.slashsolu() + mapdl.antype("STATIC") + mapdl.nlgeom("on") + mapdl.pred("on") + mapdl.time(1) + mapdl.nsubst(100, 10000, 10) + mapdl.rescontrol("define", "all", 1) + mapdl.outres("all", "all") + mapdl.ncnv(2) # Do not terminate the program execution if the solution diverges + mapdl.allow_ignore = True # in order for PyMAPDL to not raise an error + output = mapdl.solve() + print(output) + mapdl.finish() + + print("End nonlinear static analysis on imperfect geometry") + + + + + +.. rst-class:: sphx-glr-script-out + + .. code-block:: none + + Begin nonlinear static analysis on imperfect geometry + ***** MAPDL SOLVE COMMAND ***** + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + There is no title defined for this analysis. + + *** SELECTION OF ELEMENT TECHNOLOGIES FOR APPLICABLE ELEMENTS *** + ---GIVE SUGGESTIONS ONLY--- + + ELEMENT TYPE 1 IS SHELL281. IT IS ASSOCIATED WITH ELASTOPLASTIC + MATERIALS ONLY. KEYOPT(8)=2 IS SUGGESTED. + + + *****MAPDL VERIFICATION RUN ONLY***** + DO NOT USE RESULTS FOR PRODUCTION + + S O L U T I O N O P T I O N S + + PROBLEM DIMENSIONALITY. . . . . . . . . . . . .3-D + DEGREES OF FREEDOM. . . . . . UX UY UZ ROTX ROTY ROTZ + ANALYSIS TYPE . . . . . . . . . . . . . . . . .STATIC (STEADY-STATE) + NONLINEAR GEOMETRIC EFFECTS . . . . . . . . . .ON + PLASTIC MATERIAL PROPERTIES INCLUDED. . . . . .YES + NEWTON-RAPHSON OPTION . . . . . . . . . . . . .PROGRAM CHOSEN + GLOBALLY ASSEMBLED MATRIX . . . . . . . . . . .SYMMETRIC + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + This nonlinear analysis defaults to using the full Newton-Raphson + solution procedure. This can be modified using the NROPT command. + + *** NOTE *** CP = 0.000 TIME= 00:00:00 + The conditions for direct assembly have been met. No .emat or .erot + files will be produced. + + + + D I S T R I B U T E D D O M A I N D E C O M P O S E R + + ...Number of elements: 26796 + ...Number of nodes: 73662 + ...Decompose to 0 CPU domains + ...Element load balance ratio = 0.000 + + + L O A D S T E P O P T I O N S + + LOAD STEP NUMBER. . . . . . . . . . . . . . . . 1 + TIME AT END OF THE LOAD STEP. . . . . . . . . . 1.0000 + AUTOMATIC TIME STEPPING . . . . . . . . . . . . ON + INITIAL NUMBER OF SUBSTEPS . . . . . . . . . 100 + MAXIMUM NUMBER OF SUBSTEPS . . . . . . . . . 10000 + MINIMUM NUMBER OF SUBSTEPS . . . . . . . . . 10 + MAXIMUM NUMBER OF EQUILIBRIUM ITERATIONS. . . . 15 + STEP CHANGE BOUNDARY CONDITIONS . . . . . . . . NO + STRESS-STIFFENING . . . . . . . . . . . . . . . ON + PREDICTOR USAGE . . . . . . . . . . . . . . . .ON (AFTER FIRST SUBSTEP) + TERMINATE ANALYSIS IF NOT CONVERGED . . . . . .YES (REMAIN) + CONVERGENCE CONTROLS. . . . . . . . . . . . . .USE DEFAULTS + COPY INTEGRATION POINT VALUES TO NODE . . . . .YES, FOR ELEMENTS WITH + ACTIVE MAT. NONLINEARITIES + PRINT OUTPUT CONTROLS . . . . . . . . . . . . .NO PRINTOUT + DATABASE OUTPUT CONTROLS + ITEM FREQUENCY COMPONENT + ALL ALL + + + + Range of element maximum matrix coefficients in global coordinates + Maximum = 489978592 at element 0. + Minimum = 165328.012 at element 0. + + *** ELEMENT MATRIX FORMULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 26796 SHELL281 0.000 0.000000 + Time at end of element matrix formulation CP = 0. + + ALL CURRENT MAPDL DATA WRITTEN TO FILE NAME= + FOR POSSIBLE RESUME FROM THIS POINT + FORCE CONVERGENCE VALUE = 34.78 CRITERION= 0.1739 + MOMENT CONVERGENCE VALUE = 0.1824E-05 CRITERION= 0.1596 + + DISTRIBUTED SPARSE MATRIX DIRECT SOLVER. + Number of equations = 441966, Maximum wavefront = 0 + Memory available (MB) = 0.0 , Memory required (MB) = 0.0 + + Distributed sparse solver maximum pivot= 0 at node 0 . + Distributed sparse solver minimum pivot= 0 at node 0 . + Distributed sparse solver minimum pivot in absolute value= 0 at node 0 + . + DISP CONVERGENCE VALUE = 0.2221E-01 CRITERION= 0.1110E-02 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2221E-01 + FORCE CONVERGENCE VALUE = 1.654 CRITERION= 0.1739 + MOMENT CONVERGENCE VALUE = 0.2307 CRITERION= 0.1596 + DISP CONVERGENCE VALUE = 0.2244E-03 CRITERION= 0.1111E-02 <<< CONVERGED + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2244E-03 + FORCE CONVERGENCE VALUE = 0.2717E-03 CRITERION= 0.1739 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.1623E-03 CRITERION= 0.1596 <<< CONVERGED + + *** WARNING *** CP = 0.000 TIME= 00:00:00 + A reference moment value times the tolerance is used by the + Newton-Raphson method for checking convergence. The calculated + reference MOMENT CONVERGENCE VALUE = 0 is less than a threshold. This + threshold is internally calculated. You can overwrite it by + specifying MINREF on the CNVTOL command. Check results carefully. + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 2 + + *** ELEMENT RESULT CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 26796 SHELL281 0.000 0.000000 + + *** NODAL LOAD CALCULATION TIMES + TYPE NUMBER ENAME TOTAL CP AVE CP + + 1 26796 SHELL281 0.000 0.000000 + *** LOAD STEP 1 SUBSTEP 1 COMPLETED. CUM ITER = 2 + *** TIME = 0.100000E-01 TIME INC = 0.100000E-01 + *** AUTO STEP TIME: NEXT TIME INC = 0.10000E-01 UNCHANGED + + FORCE CONVERGENCE VALUE = 3.342 CRITERION= 0.3478 + MOMENT CONVERGENCE VALUE = 0.4703 CRITERION= 0.3191 + DISP CONVERGENCE VALUE = 0.4679E-03 CRITERION= 0.1111E-02 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.4679E-03 + FORCE CONVERGENCE VALUE = 0.1163E-02 CRITERION= 0.3478 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.2879E-03 CRITERION= 0.3191 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 + *** LOAD STEP 1 SUBSTEP 2 COMPLETED. CUM ITER = 3 + *** TIME = 0.200000E-01 TIME INC = 0.100000E-01 + *** AUTO TIME STEP: NEXT TIME INC = 0.15000E-01 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 6.409 CRITERION= 0.6086 + MOMENT CONVERGENCE VALUE = 0.9124 CRITERION= 0.5585 + DISP CONVERGENCE VALUE = 0.9445E-03 CRITERION= 0.1667E-02 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.9445E-03 + FORCE CONVERGENCE VALUE = 0.4674E-02 CRITERION= 0.6086 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.6922E-03 CRITERION= 0.5585 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 + *** LOAD STEP 1 SUBSTEP 3 COMPLETED. CUM ITER = 4 + *** TIME = 0.350000E-01 TIME INC = 0.150000E-01 + *** AUTO TIME STEP: NEXT TIME INC = 0.22500E-01 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 14.89 CRITERION= 0.9998 + MOMENT CONVERGENCE VALUE = 2.142 CRITERION= 0.9175 + DISP CONVERGENCE VALUE = 0.2356E-02 CRITERION= 0.2502E-02 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2356E-02 + FORCE CONVERGENCE VALUE = 0.2851E-01 CRITERION= 0.9998 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.3006E-02 CRITERION= 0.9175 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 + *** LOAD STEP 1 SUBSTEP 4 COMPLETED. CUM ITER = 5 + *** TIME = 0.575000E-01 TIME INC = 0.225000E-01 + *** AUTO TIME STEP: NEXT TIME INC = 0.33750E-01 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 35.48 CRITERION= 1.587 + MOMENT CONVERGENCE VALUE = 5.147 CRITERION= 1.456 + DISP CONVERGENCE VALUE = 0.6229E-02 CRITERION= 0.3757E-02 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.6229E-02 + FORCE CONVERGENCE VALUE = 0.1940 CRITERION= 1.587 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.1811E-01 CRITERION= 1.456 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2802E-04 CRITERION= 0.3757E-02 <<< CONVERGED + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC = -0.2802E-04 + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 2 + *** LOAD STEP 1 SUBSTEP 5 COMPLETED. CUM ITER = 7 + *** TIME = 0.912500E-01 TIME INC = 0.337500E-01 + *** AUTO TIME STEP: NEXT TIME INC = 0.50625E-01 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 88.92 CRITERION= 2.467 + MOMENT CONVERGENCE VALUE = 12.81 CRITERION= 2.264 + DISP CONVERGENCE VALUE = 0.1802E-01 CRITERION= 0.5646E-02 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1802E-01 + FORCE CONVERGENCE VALUE = 1.576 CRITERION= 2.467 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.1360 CRITERION= 2.264 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2509E-03 CRITERION= 0.5646E-02 <<< CONVERGED + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC = -0.2509E-03 + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 2 + *** LOAD STEP 1 SUBSTEP 6 COMPLETED. CUM ITER = 9 + *** TIME = 0.141875 TIME INC = 0.506250E-01 + *** AUTO TIME STEP: NEXT TIME INC = 0.75938E-01 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 252.2 CRITERION= 3.787 + MOMENT CONVERGENCE VALUE = 33.74 CRITERION= 3.475 + DISP CONVERGENCE VALUE = 0.6000E-01 CRITERION= 0.1142E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.6000E-01 + FORCE CONVERGENCE VALUE = 17.33 CRITERION= 3.787 + MOMENT CONVERGENCE VALUE = 1.320 CRITERION= 3.475 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2965E-02 CRITERION= 0.1157E-01 <<< CONVERGED + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2965E-02 + FORCE CONVERGENCE VALUE = 0.3051E-01 CRITERION= 3.787 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.9014E-02 CRITERION= 3.475 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 2 + *** LOAD STEP 1 SUBSTEP 7 COMPLETED. CUM ITER = 11 + *** TIME = 0.217813 TIME INC = 0.759375E-01 + *** AUTO TIME STEP: NEXT TIME INC = 0.10000 INCREASED (FACTOR = 1.3169) + + FORCE CONVERGENCE VALUE = 781.3 CRITERION= 5.525 + MOMENT CONVERGENCE VALUE = 79.26 CRITERION= 5.071 + DISP CONVERGENCE VALUE = 0.1687 CRITERION= 0.2356E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1687 + FORCE CONVERGENCE VALUE = 177.9 CRITERION= 5.526 + MOMENT CONVERGENCE VALUE = 11.17 CRITERION= 5.071 + DISP CONVERGENCE VALUE = 0.2494E-01 CRITERION= 0.2481E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2494E-01 + FORCE CONVERGENCE VALUE = 3.277 CRITERION= 5.526 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.3322 CRITERION= 5.071 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.8120E-03 CRITERION= 0.2484E-01 <<< CONVERGED + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC = -0.8120E-03 + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 3 + *** LOAD STEP 1 SUBSTEP 8 COMPLETED. CUM ITER = 14 + *** TIME = 0.317813 TIME INC = 0.100000 + *** AUTO STEP TIME: NEXT TIME INC = 0.10000 UNCHANGED + + FORCE CONVERGENCE VALUE = 2522. CRITERION= 7.264 + MOMENT CONVERGENCE VALUE = 157.6 CRITERION= 6.666 + DISP CONVERGENCE VALUE = 0.3201 CRITERION= 0.3187E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3201 + FORCE CONVERGENCE VALUE = 802.8 CRITERION= 7.265 + MOMENT CONVERGENCE VALUE = 48.60 CRITERION= 6.667 + DISP CONVERGENCE VALUE = 0.1286 CRITERION= 0.3533E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1286 + FORCE CONVERGENCE VALUE = 71.58 CRITERION= 7.265 + MOMENT CONVERGENCE VALUE = 5.723 CRITERION= 6.667 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.4113E-01 CRITERION= 0.3557E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.4113E-01 + FORCE CONVERGENCE VALUE = 4.570 CRITERION= 7.265 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.3269 CRITERION= 6.667 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1397E-02 CRITERION= 0.3557E-01 <<< CONVERGED + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC = 0.1397E-02 + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 4 + *** LOAD STEP 1 SUBSTEP 9 COMPLETED. CUM ITER = 18 + *** TIME = 0.417813 TIME INC = 0.100000 + *** AUTO STEP TIME: NEXT TIME INC = 0.10000 UNCHANGED + + FORCE CONVERGENCE VALUE = 9178. CRITERION= 9.006 + MOMENT CONVERGENCE VALUE = 777.1 CRITERION= 8.264 + DISP CONVERGENCE VALUE = 0.8389 CRITERION= 0.6052E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.8389 + FORCE CONVERGENCE VALUE = 3620. CRITERION= 9.008 + MOMENT CONVERGENCE VALUE = 267.5 CRITERION= 8.266 + DISP CONVERGENCE VALUE = 0.6188 CRITERION= 0.7166E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.6188 + FORCE CONVERGENCE VALUE = 1032. CRITERION= 9.010 + MOMENT CONVERGENCE VALUE = 89.59 CRITERION= 8.268 + DISP CONVERGENCE VALUE = 1.023 CRITERION= 0.9582E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -1.023 + FORCE CONVERGENCE VALUE = 3337. CRITERION= 9.011 + MOMENT CONVERGENCE VALUE = 313.5 CRITERION= 8.269 + DISP CONVERGENCE VALUE = 0.1755 CRITERION= 0.9586E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1755 + FORCE CONVERGENCE VALUE = 142.2 CRITERION= 9.011 + MOMENT CONVERGENCE VALUE = 44.23 CRITERION= 8.270 + DISP CONVERGENCE VALUE = 0.3050 CRITERION= 0.9623E-01 + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3050 + FORCE CONVERGENCE VALUE = 246.8 CRITERION= 9.012 + MOMENT CONVERGENCE VALUE = 18.13 CRITERION= 8.270 + DISP CONVERGENCE VALUE = 0.2704 CRITERION= 0.9628E-01 + EQUIL ITER 6 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2704 + FORCE CONVERGENCE VALUE = 243.5 CRITERION= 9.012 + MOMENT CONVERGENCE VALUE = 17.49 CRITERION= 8.270 + DISP CONVERGENCE VALUE = 0.9261 CRITERION= 0.9628E-01 + EQUIL ITER 7 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.9261 + FORCE CONVERGENCE VALUE = 2146. CRITERION= 10.59 + MOMENT CONVERGENCE VALUE = 238.1 CRITERION= 9.720 + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 8 + *** LOAD STEP 1 SUBSTEP 10 NOT COMPLETED. CUM ITER = 26 + *** BEGIN BISECTION NUMBER 1 NEW TIME INCREMENT= 0.45000E-01 + + FORCE CONVERGENCE VALUE = 2995. CRITERION= 8.048 + MOMENT CONVERGENCE VALUE = 194.5 CRITERION= 7.386 + DISP CONVERGENCE VALUE = 0.3766 CRITERION= 0.3557E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3766 + FORCE CONVERGENCE VALUE = 496.4 CRITERION= 8.049 + MOMENT CONVERGENCE VALUE = 33.11 CRITERION= 7.386 + DISP CONVERGENCE VALUE = 0.1569 CRITERION= 0.3743E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1569 + FORCE CONVERGENCE VALUE = 105.3 CRITERION= 8.050 + MOMENT CONVERGENCE VALUE = 7.260 CRITERION= 7.387 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.6500E-01 CRITERION= 0.3929E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.6500E-01 + FORCE CONVERGENCE VALUE = 16.99 CRITERION= 8.050 + MOMENT CONVERGENCE VALUE = 1.221 CRITERION= 7.387 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1541E-01 CRITERION= 0.3939E-01 <<< CONVERGED + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1541E-01 + FORCE CONVERGENCE VALUE = 0.8279 CRITERION= 8.050 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.1052 CRITERION= 7.387 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 4 + *** LOAD STEP 1 SUBSTEP 10 COMPLETED. CUM ITER = 29 + *** TIME = 0.462813 TIME INC = 0.450000E-01 + *** AUTO STEP TIME: NEXT TIME INC = 0.45000E-01 UNCHANGED + + FORCE CONVERGENCE VALUE = 5962. CRITERION= 8.835 + MOMENT CONVERGENCE VALUE = 543.9 CRITERION= 8.107 + DISP CONVERGENCE VALUE = 0.6835 CRITERION= 0.5040E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.6835 + FORCE CONVERGENCE VALUE = 1134. CRITERION= 8.835 + MOMENT CONVERGENCE VALUE = 90.52 CRITERION= 8.108 + DISP CONVERGENCE VALUE = 0.5647 CRITERION= 0.6684E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.5647 + FORCE CONVERGENCE VALUE = 1111. CRITERION= 8.836 + MOMENT CONVERGENCE VALUE = 74.43 CRITERION= 8.109 + DISP CONVERGENCE VALUE = 0.1671 CRITERION= 0.7284E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1671 + FORCE CONVERGENCE VALUE = 105.0 CRITERION= 8.836 + MOMENT CONVERGENCE VALUE = 9.946 CRITERION= 8.109 + DISP CONVERGENCE VALUE = 0.7323E-01 CRITERION= 0.7417E-01 <<< CONVERGED + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.7323E-01 + FORCE CONVERGENCE VALUE = 22.34 CRITERION= 8.836 + MOMENT CONVERGENCE VALUE = 1.546 CRITERION= 8.109 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.4771E-02 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.4771E-02 + FORCE CONVERGENCE VALUE = 0.1063 CRITERION= 8.836 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.1221 CRITERION= 8.109 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 5 + *** LOAD STEP 1 SUBSTEP 11 COMPLETED. CUM ITER = 34 + *** TIME = 0.507812 TIME INC = 0.450000E-01 + *** AUTO TIME STEP: NEXT TIME INC = 0.67500E-01 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 0.3334E+05 CRITERION= 10.02 + MOMENT CONVERGENCE VALUE = 7795. CRITERION= 9.195 + DISP CONVERGENCE VALUE = 1.683 CRITERION= 0.8513E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 1.683 + FORCE CONVERGENCE VALUE = 0.3672E+05 CRITERION= 10.02 + MOMENT CONVERGENCE VALUE = 0.1468E+05 CRITERION= 9.198 + DISP CONVERGENCE VALUE = 7.150 CRITERION= 0.2864 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 7.150 + FORCE CONVERGENCE VALUE = 0.1337E+06 CRITERION= 10.09 + MOMENT CONVERGENCE VALUE = 0.6255E+06 CRITERION= 9.261 + DISP CONVERGENCE VALUE = 380.7 CRITERION= 18.90 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -380.7 + FORCE CONVERGENCE VALUE = 0.4605E+07 CRITERION= 84.79 + MOMENT CONVERGENCE VALUE = 0.2265E+08 CRITERION= 77.81 + DISP CONVERGENCE VALUE = 0.1374E+05 CRITERION= 703.1 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1374E+05 + + *** ERROR *** CP = 0.000 TIME= 00:00:00 + Element 17426 has excessive thickness change. + + *** ERROR *** CP = 0.000 TIME= 00:00:00 + Element 2517 has excessive thickness change. + *** LOAD STEP 1 SUBSTEP 12 NOT COMPLETED. CUM ITER = 39 + *** BEGIN BISECTION NUMBER 1 NEW TIME INCREMENT= 0.23625E-01 + + FORCE CONVERGENCE VALUE = 7739. CRITERION= 9.250 + MOMENT CONVERGENCE VALUE = 1071. CRITERION= 8.489 + DISP CONVERGENCE VALUE = 0.3148 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3148 + FORCE CONVERGENCE VALUE = 521.2 CRITERION= 9.250 + MOMENT CONVERGENCE VALUE = 168.1 CRITERION= 8.489 + DISP CONVERGENCE VALUE = 3.185 CRITERION= 0.1758 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 3.185 + FORCE CONVERGENCE VALUE = 0.1925E+05 CRITERION= 9.252 + MOMENT CONVERGENCE VALUE = 6530. CRITERION= 8.490 + DISP CONVERGENCE VALUE = 2.477 CRITERION= 0.1758 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 2.477 + FORCE CONVERGENCE VALUE = 0.2903E+05 CRITERION= 9.255 + MOMENT CONVERGENCE VALUE = 0.3408E+05 CRITERION= 8.493 + DISP CONVERGENCE VALUE = 9.697 CRITERION= 0.5765 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 9.697 + FORCE CONVERGENCE VALUE = 0.5777E+06 CRITERION= 9.488 + MOMENT CONVERGENCE VALUE = 0.2332E+07 CRITERION= 8.707 + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 5 + *** LOAD STEP 1 SUBSTEP 12 NOT COMPLETED. CUM ITER = 43 + *** BEGIN BISECTION NUMBER 2 NEW TIME INCREMENT= 0.10631E-01 + + FORCE CONVERGENCE VALUE = 2830. CRITERION= 9.023 + MOMENT CONVERGENCE VALUE = 316.6 CRITERION= 8.280 + DISP CONVERGENCE VALUE = 0.1987 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1987 + FORCE CONVERGENCE VALUE = 150.4 CRITERION= 9.023 + MOMENT CONVERGENCE VALUE = 40.22 CRITERION= 8.280 + DISP CONVERGENCE VALUE = 0.2897 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2897 + FORCE CONVERGENCE VALUE = 259.6 CRITERION= 9.023 + MOMENT CONVERGENCE VALUE = 18.92 CRITERION= 8.280 + DISP CONVERGENCE VALUE = 0.4809 CRITERION= 0.7422E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.4809 + FORCE CONVERGENCE VALUE = 690.2 CRITERION= 9.023 + MOMENT CONVERGENCE VALUE = 46.30 CRITERION= 8.280 + DISP CONVERGENCE VALUE = 1.755 CRITERION= 0.1271 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 1.755 + FORCE CONVERGENCE VALUE = 6684. CRITERION= 9.024 + MOMENT CONVERGENCE VALUE = 973.2 CRITERION= 8.281 + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 5 + *** LOAD STEP 1 SUBSTEP 12 NOT COMPLETED. CUM ITER = 47 + *** BEGIN BISECTION NUMBER 3 NEW TIME INCREMENT= 0.47841E-02 + + FORCE CONVERGENCE VALUE = 1140. CRITERION= 8.920 + MOMENT CONVERGENCE VALUE = 114.9 CRITERION= 8.186 + DISP CONVERGENCE VALUE = 0.1121 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1121 + FORCE CONVERGENCE VALUE = 42.68 CRITERION= 8.920 + MOMENT CONVERGENCE VALUE = 8.289 CRITERION= 8.186 + DISP CONVERGENCE VALUE = 0.7531E-01 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.7531E-01 + FORCE CONVERGENCE VALUE = 16.17 CRITERION= 8.920 + MOMENT CONVERGENCE VALUE = 1.451 CRITERION= 8.186 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1739E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1739E-01 + FORCE CONVERGENCE VALUE = 1.085 CRITERION= 8.920 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.2552 CRITERION= 8.186 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 3 + *** LOAD STEP 1 SUBSTEP 12 COMPLETED. CUM ITER = 49 + *** TIME = 0.512597 TIME INC = 0.478406E-02 + *** AUTO STEP TIME: NEXT TIME INC = 0.47841E-02 UNCHANGED + + FORCE CONVERGENCE VALUE = 437.0 CRITERION= 9.004 + MOMENT CONVERGENCE VALUE = 32.47 CRITERION= 8.263 + DISP CONVERGENCE VALUE = 0.1258 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1258 + FORCE CONVERGENCE VALUE = 56.91 CRITERION= 9.004 + MOMENT CONVERGENCE VALUE = 5.574 CRITERION= 8.263 <<< CONVERGED + DISP CONVERGENCE VALUE = 1.113 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -1.113 + FORCE CONVERGENCE VALUE = 4126. CRITERION= 9.004 + MOMENT CONVERGENCE VALUE = 575.1 CRITERION= 8.263 + DISP CONVERGENCE VALUE = 0.3482 CRITERION= 0.7422E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3482 + FORCE CONVERGENCE VALUE = 202.8 CRITERION= 9.004 + MOMENT CONVERGENCE VALUE = 90.86 CRITERION= 8.262 + DISP CONVERGENCE VALUE = 0.3248 CRITERION= 0.7422E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.3248 + FORCE CONVERGENCE VALUE = 703.1 CRITERION= 9.004 + MOMENT CONVERGENCE VALUE = 63.27 CRITERION= 8.262 + DISP CONVERGENCE VALUE = 0.1437 CRITERION= 0.7422E-01 + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1437 + FORCE CONVERGENCE VALUE = 67.13 CRITERION= 9.004 + MOMENT CONVERGENCE VALUE = 12.22 CRITERION= 8.263 + DISP CONVERGENCE VALUE = 0.2515 CRITERION= 0.7422E-01 + EQUIL ITER 6 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2515 + FORCE CONVERGENCE VALUE = 225.4 CRITERION= 9.004 + MOMENT CONVERGENCE VALUE = 17.31 CRITERION= 8.263 + DISP CONVERGENCE VALUE = 0.1216 CRITERION= 0.7422E-01 + EQUIL ITER 7 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1216 + FORCE CONVERGENCE VALUE = 57.19 CRITERION= 10.58 + MOMENT CONVERGENCE VALUE = 5.638 CRITERION= 9.712 <<< CONVERGED + DISP CONVERGENCE VALUE = 1.048 CRITERION= 0.7422E-01 + EQUIL ITER 8 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 1.048 + FORCE CONVERGENCE VALUE = 4350. CRITERION= 10.80 + MOMENT CONVERGENCE VALUE = 481.8 CRITERION= 9.911 + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 9 + *** LOAD STEP 1 SUBSTEP 13 NOT COMPLETED. CUM ITER = 58 + *** BEGIN BISECTION NUMBER 1 NEW TIME INCREMENT= 0.21528E-02 + + FORCE CONVERGENCE VALUE = 143.3 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 9.974 CRITERION= 8.220 + DISP CONVERGENCE VALUE = 0.4821E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.4821E-01 + FORCE CONVERGENCE VALUE = 10.86 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 1.356 CRITERION= 8.220 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.7755E-01 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.7755E-01 + FORCE CONVERGENCE VALUE = 22.42 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 1.937 CRITERION= 8.221 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.5666E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.5666E-01 + FORCE CONVERGENCE VALUE = 13.12 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 1.281 CRITERION= 8.221 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1207 CRITERION= 0.7422E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1207 + FORCE CONVERGENCE VALUE = 55.45 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 4.396 CRITERION= 8.221 <<< CONVERGED + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 5 + *** LOAD STEP 1 SUBSTEP 13 NOT COMPLETED. CUM ITER = 62 + *** BEGIN BISECTION NUMBER 2 NEW TIME INCREMENT= 0.96877E-03 + + FORCE CONVERGENCE VALUE = 54.02 CRITERION= 8.937 + MOMENT CONVERGENCE VALUE = 3.686 CRITERION= 8.201 + DISP CONVERGENCE VALUE = 0.2413E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2413E-01 + FORCE CONVERGENCE VALUE = 2.383 CRITERION= 8.937 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.4496 CRITERION= 8.201 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 + *** LOAD STEP 1 SUBSTEP 13 COMPLETED. CUM ITER = 62 + *** TIME = 0.513565 TIME INC = 0.968773E-03 + *** AUTO STEP TIME: NEXT TIME INC = 0.96877E-03 UNCHANGED + + FORCE CONVERGENCE VALUE = 39.63 CRITERION= 8.954 + MOMENT CONVERGENCE VALUE = 2.841 CRITERION= 8.217 + DISP CONVERGENCE VALUE = 0.3882E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3882E-01 + FORCE CONVERGENCE VALUE = 6.308 CRITERION= 8.954 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.7885 CRITERION= 8.217 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 + *** LOAD STEP 1 SUBSTEP 14 COMPLETED. CUM ITER = 63 + *** TIME = 0.514534 TIME INC = 0.968773E-03 + *** AUTO TIME STEP: NEXT TIME INC = 0.14532E-02 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 177.7 CRITERION= 8.980 + MOMENT CONVERGENCE VALUE = 13.17 CRITERION= 8.240 + DISP CONVERGENCE VALUE = 0.3462 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3462 + FORCE CONVERGENCE VALUE = 348.9 CRITERION= 8.980 + MOMENT CONVERGENCE VALUE = 22.75 CRITERION= 8.241 + DISP CONVERGENCE VALUE = 1.482 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -1.482 + FORCE CONVERGENCE VALUE = 5235. CRITERION= 8.980 + MOMENT CONVERGENCE VALUE = 761.6 CRITERION= 8.240 + DISP CONVERGENCE VALUE = 0.3994 CRITERION= 0.7422E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3994 + FORCE CONVERGENCE VALUE = 250.6 CRITERION= 8.979 + MOMENT CONVERGENCE VALUE = 109.2 CRITERION= 8.240 + DISP CONVERGENCE VALUE = 0.2678 CRITERION= 0.7422E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2678 + FORCE CONVERGENCE VALUE = 374.0 CRITERION= 8.979 + MOMENT CONVERGENCE VALUE = 40.17 CRITERION= 8.240 + DISP CONVERGENCE VALUE = 0.1573 CRITERION= 0.7422E-01 + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1573 + FORCE CONVERGENCE VALUE = 85.54 CRITERION= 8.980 + MOMENT CONVERGENCE VALUE = 11.95 CRITERION= 8.240 + DISP CONVERGENCE VALUE = 0.1360 CRITERION= 0.7422E-01 + EQUIL ITER 6 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1360 + FORCE CONVERGENCE VALUE = 86.90 CRITERION= 8.980 + MOMENT CONVERGENCE VALUE = 7.445 CRITERION= 8.240 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1102 CRITERION= 0.7422E-01 + EQUIL ITER 7 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1102 + FORCE CONVERGENCE VALUE = 53.46 CRITERION= 10.55 + MOMENT CONVERGENCE VALUE = 4.531 CRITERION= 9.686 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2589 CRITERION= 0.7422E-01 + EQUIL ITER 8 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2589 + FORCE CONVERGENCE VALUE = 268.2 CRITERION= 10.77 + MOMENT CONVERGENCE VALUE = 19.45 CRITERION= 9.884 + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 9 + *** LOAD STEP 1 SUBSTEP 15 NOT COMPLETED. CUM ITER = 72 + *** BEGIN BISECTION NUMBER 1 NEW TIME INCREMENT= 0.65392E-03 + + FORCE CONVERGENCE VALUE = 58.54 CRITERION= 8.966 + MOMENT CONVERGENCE VALUE = 4.289 CRITERION= 8.228 + DISP CONVERGENCE VALUE = 0.1294 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1294 + FORCE CONVERGENCE VALUE = 61.77 CRITERION= 8.966 + MOMENT CONVERGENCE VALUE = 4.735 CRITERION= 8.228 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2145 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2145 + FORCE CONVERGENCE VALUE = 143.2 CRITERION= 8.966 + MOMENT CONVERGENCE VALUE = 10.70 CRITERION= 8.228 + DISP CONVERGENCE VALUE = 0.6552E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.6552E-01 + FORCE CONVERGENCE VALUE = 10.25 CRITERION= 8.966 + MOMENT CONVERGENCE VALUE = 1.454 CRITERION= 8.228 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2108 CRITERION= 0.7422E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2108 + FORCE CONVERGENCE VALUE = 196.7 CRITERION= 8.966 + MOMENT CONVERGENCE VALUE = 14.50 CRITERION= 8.228 + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 5 + *** LOAD STEP 1 SUBSTEP 15 NOT COMPLETED. CUM ITER = 76 + *** BEGIN BISECTION NUMBER 2 NEW TIME INCREMENT= 0.29426E-03 + + FORCE CONVERGENCE VALUE = 24.66 CRITERION= 8.959 + MOMENT CONVERGENCE VALUE = 1.900 CRITERION= 8.222 + DISP CONVERGENCE VALUE = 0.6161E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.6161E-01 + FORCE CONVERGENCE VALUE = 16.81 CRITERION= 8.959 + MOMENT CONVERGENCE VALUE = 1.550 CRITERION= 8.222 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.3000 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.3000 + FORCE CONVERGENCE VALUE = 345.4 CRITERION= 8.959 + MOMENT CONVERGENCE VALUE = 28.45 CRITERION= 8.222 + DISP CONVERGENCE VALUE = 0.9271E-01 CRITERION= 0.7422E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.9271E-01 + FORCE CONVERGENCE VALUE = 21.13 CRITERION= 8.959 + MOMENT CONVERGENCE VALUE = 3.953 CRITERION= 8.222 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1182 CRITERION= 0.7422E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1182 + FORCE CONVERGENCE VALUE = 53.95 CRITERION= 8.959 + MOMENT CONVERGENCE VALUE = 4.324 CRITERION= 8.222 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.5180E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.5180E-01 + FORCE CONVERGENCE VALUE = 10.69 CRITERION= 8.959 + MOMENT CONVERGENCE VALUE = 1.181 CRITERION= 8.222 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.7971E-01 CRITERION= 0.7422E-01 + EQUIL ITER 6 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.7971E-01 + FORCE CONVERGENCE VALUE = 27.32 CRITERION= 8.959 + MOMENT CONVERGENCE VALUE = 2.305 CRITERION= 8.222 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2621 CRITERION= 0.7422E-01 + EQUIL ITER 7 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2621 + FORCE CONVERGENCE VALUE = 255.6 CRITERION= 10.53 + MOMENT CONVERGENCE VALUE = 20.50 CRITERION= 9.664 + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 8 + *** LOAD STEP 1 SUBSTEP 15 NOT COMPLETED. CUM ITER = 83 + *** BEGIN BISECTION NUMBER 3 NEW TIME INCREMENT= 0.10000E-03 + + FORCE CONVERGENCE VALUE = 11.54 CRITERION= 8.956 + MOMENT CONVERGENCE VALUE = 1.060 CRITERION= 8.219 + DISP CONVERGENCE VALUE = 0.4012E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.4012E-01 + FORCE CONVERGENCE VALUE = 6.714 CRITERION= 8.956 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.7801 CRITERION= 8.219 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 1 + *** LOAD STEP 1 SUBSTEP 15 COMPLETED. CUM ITER = 83 + *** TIME = 0.514634 TIME INC = 0.100000E-03 + *** AUTO STEP TIME: NEXT TIME INC = 0.10000E-03 UNCHANGED + + FORCE CONVERGENCE VALUE = 28.39 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 2.158 CRITERION= 8.220 + DISP CONVERGENCE VALUE = 0.5154 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.5154 + FORCE CONVERGENCE VALUE = 996.2 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 93.89 CRITERION= 8.220 + DISP CONVERGENCE VALUE = 0.1513 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1513 + FORCE CONVERGENCE VALUE = 46.69 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 14.29 CRITERION= 8.220 + DISP CONVERGENCE VALUE = 0.1749 CRITERION= 0.7422E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1749 + FORCE CONVERGENCE VALUE = 129.2 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 10.61 CRITERION= 8.220 + DISP CONVERGENCE VALUE = 0.6899E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.6899E-01 + FORCE CONVERGENCE VALUE = 19.35 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 2.207 CRITERION= 8.220 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.8524E-01 CRITERION= 0.7422E-01 + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.8524E-01 + FORCE CONVERGENCE VALUE = 27.44 CRITERION= 8.958 + MOMENT CONVERGENCE VALUE = 2.327 CRITERION= 8.220 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.4444E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 6 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.4444E-01 + FORCE CONVERGENCE VALUE = 8.756 CRITERION= 8.958 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.9666 CRITERION= 8.220 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 6 + *** LOAD STEP 1 SUBSTEP 16 COMPLETED. CUM ITER = 89 + *** TIME = 0.514734 TIME INC = 0.100000E-03 + *** AUTO STEP TIME: NEXT TIME INC = 0.10000E-03 UNCHANGED + + FORCE CONVERGENCE VALUE = 10.90 CRITERION= 8.960 + MOMENT CONVERGENCE VALUE = 1.171 CRITERION= 8.222 + DISP CONVERGENCE VALUE = 0.1377 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1377 + FORCE CONVERGENCE VALUE = 82.42 CRITERION= 8.960 + MOMENT CONVERGENCE VALUE = 6.212 CRITERION= 8.222 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.2067 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2067 + FORCE CONVERGENCE VALUE = 135.0 CRITERION= 8.960 + MOMENT CONVERGENCE VALUE = 10.00 CRITERION= 8.222 + DISP CONVERGENCE VALUE = 0.4928E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.4928E-01 + FORCE CONVERGENCE VALUE = 5.373 CRITERION= 8.960 <<< CONVERGED + MOMENT CONVERGENCE VALUE = 0.8629 CRITERION= 8.222 <<< CONVERGED + >>> SOLUTION CONVERGED AFTER EQUILIBRIUM ITERATION 3 + *** LOAD STEP 1 SUBSTEP 17 COMPLETED. CUM ITER = 92 + *** TIME = 0.514834 TIME INC = 0.100000E-03 + *** AUTO TIME STEP: NEXT TIME INC = 0.15000E-03 INCREASED (FACTOR = 1.5000) + + FORCE CONVERGENCE VALUE = 13.64 CRITERION= 8.962 + MOMENT CONVERGENCE VALUE = 2.192 CRITERION= 8.224 + DISP CONVERGENCE VALUE = 0.1057 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1057 + FORCE CONVERGENCE VALUE = 46.42 CRITERION= 8.962 + MOMENT CONVERGENCE VALUE = 3.675 CRITERION= 8.224 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.9430 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.9430 + FORCE CONVERGENCE VALUE = 3204. CRITERION= 8.962 + MOMENT CONVERGENCE VALUE = 398.8 CRITERION= 8.224 + DISP CONVERGENCE VALUE = 0.2859 CRITERION= 0.7422E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.2859 + FORCE CONVERGENCE VALUE = 146.8 CRITERION= 8.962 + MOMENT CONVERGENCE VALUE = 61.78 CRITERION= 8.224 + DISP CONVERGENCE VALUE = 0.2422 CRITERION= 0.7422E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2422 + FORCE CONVERGENCE VALUE = 455.6 CRITERION= 8.962 + MOMENT CONVERGENCE VALUE = 40.41 CRITERION= 8.224 + DISP CONVERGENCE VALUE = 0.1148 CRITERION= 0.7422E-01 + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1148 + FORCE CONVERGENCE VALUE = 49.29 CRITERION= 8.962 + MOMENT CONVERGENCE VALUE = 7.475 CRITERION= 8.224 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1648 CRITERION= 0.7422E-01 + EQUIL ITER 6 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1648 + FORCE CONVERGENCE VALUE = 96.52 CRITERION= 8.962 + MOMENT CONVERGENCE VALUE = 7.504 CRITERION= 8.224 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.6973E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 7 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.6973E-01 + FORCE CONVERGENCE VALUE = 21.02 CRITERION= 10.53 + MOMENT CONVERGENCE VALUE = 2.113 CRITERION= 9.667 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.9208E-01 CRITERION= 0.7422E-01 + EQUIL ITER 8 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.9208E-01 + FORCE CONVERGENCE VALUE = 32.98 CRITERION= 10.75 + MOMENT CONVERGENCE VALUE = 2.723 CRITERION= 9.864 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1312 CRITERION= 0.7422E-01 + EQUIL ITER 9 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1312 + FORCE CONVERGENCE VALUE = 67.80 CRITERION= 10.97 + MOMENT CONVERGENCE VALUE = 5.182 CRITERION= 10.07 <<< CONVERGED + >>> SOLUTION PATTERNS SHOW DIVERGENCE AT ITERATION = 10 + *** LOAD STEP 1 SUBSTEP 18 NOT COMPLETED. CUM ITER = 102 + *** BEGIN BISECTION NUMBER 1 NEW TIME INCREMENT= 0.10000E-03 + + FORCE CONVERGENCE VALUE = 10.10 CRITERION= 8.961 + MOMENT CONVERGENCE VALUE = 1.683 CRITERION= 8.223 + DISP CONVERGENCE VALUE = 0.1036 CRITERION= 0.7422E-01 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1036 + FORCE CONVERGENCE VALUE = 44.92 CRITERION= 8.961 + MOMENT CONVERGENCE VALUE = 3.556 CRITERION= 8.224 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.3994 CRITERION= 0.7422E-01 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.3994 + FORCE CONVERGENCE VALUE = 577.0 CRITERION= 8.961 + MOMENT CONVERGENCE VALUE = 49.52 CRITERION= 8.223 + DISP CONVERGENCE VALUE = 0.1151 CRITERION= 0.7422E-01 + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1151 + FORCE CONVERGENCE VALUE = 28.35 CRITERION= 8.961 + MOMENT CONVERGENCE VALUE = 6.978 CRITERION= 8.223 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1348 CRITERION= 0.7422E-01 + EQUIL ITER 4 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1348 + FORCE CONVERGENCE VALUE = 74.52 CRITERION= 8.961 + MOMENT CONVERGENCE VALUE = 6.026 CRITERION= 8.223 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.6109E-01 CRITERION= 0.7422E-01 <<< CONVERGED + EQUIL ITER 5 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.6109E-01 + FORCE CONVERGENCE VALUE = 14.38 CRITERION= 8.961 + MOMENT CONVERGENCE VALUE = 1.547 CRITERION= 8.223 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.8651E-01 CRITERION= 0.7422E-01 + EQUIL ITER 6 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.8651E-01 + FORCE CONVERGENCE VALUE = 31.28 CRITERION= 8.961 + MOMENT CONVERGENCE VALUE = 2.604 CRITERION= 8.223 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.9241 CRITERION= 0.7422E-01 + EQUIL ITER 7 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.9241 + FORCE CONVERGENCE VALUE = 3187. CRITERION= 10.53 + MOMENT CONVERGENCE VALUE = 317.2 CRITERION= 9.666 + DISP CONVERGENCE VALUE = 0.3616 CRITERION= 0.7422E-01 + EQUIL ITER 8 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.3616 + FORCE CONVERGENCE VALUE = 279.6 CRITERION= 10.75 + MOMENT CONVERGENCE VALUE = 45.13 CRITERION= 9.864 + DISP CONVERGENCE VALUE = 1.388 CRITERION= 0.1293 + EQUIL ITER 9 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 1.388 + FORCE CONVERGENCE VALUE = 6388. CRITERION= 10.97 + MOMENT CONVERGENCE VALUE = 901.9 CRITERION= 10.07 + DISP CONVERGENCE VALUE = 0.2434 CRITERION= 0.1293 + EQUIL ITER 10 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2434 + FORCE CONVERGENCE VALUE = 397.3 CRITERION= 11.19 + MOMENT CONVERGENCE VALUE = 150.2 CRITERION= 10.27 + DISP CONVERGENCE VALUE = 0.8643 CRITERION= 0.1293 + EQUIL ITER 11 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.8643 + FORCE CONVERGENCE VALUE = 1849. CRITERION= 11.42 + MOMENT CONVERGENCE VALUE = 175.5 CRITERION= 10.48 + DISP CONVERGENCE VALUE = 0.1396 CRITERION= 0.1293 + EQUIL ITER 12 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1396 + FORCE CONVERGENCE VALUE = 84.71 CRITERION= 11.66 + MOMENT CONVERGENCE VALUE = 32.81 CRITERION= 10.70 + DISP CONVERGENCE VALUE = 0.2072 CRITERION= 0.1293 + EQUIL ITER 13 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.2072 + FORCE CONVERGENCE VALUE = 103.4 CRITERION= 11.89 + MOMENT CONVERGENCE VALUE = 8.223 CRITERION= 10.91 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.1151 CRITERION= 0.1293 <<< CONVERGED + EQUIL ITER 14 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.1151 + FORCE CONVERGENCE VALUE = 29.64 CRITERION= 12.14 + MOMENT CONVERGENCE VALUE = 2.837 CRITERION= 11.14 <<< CONVERGED + DISP CONVERGENCE VALUE = 0.7430E-01 CRITERION= 0.1293 <<< CONVERGED + EQUIL ITER 15 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -0.7430E-01 + FORCE CONVERGENCE VALUE = 12.61 CRITERION= 12.38 + MOMENT CONVERGENCE VALUE = 1.019 CRITERION= 11.36 <<< CONVERGED + + *** WARNING *** CP = 0.000 TIME= 00:00:00 + Solution not converged at time 0.514934108 (load step 1 substep 18). + Run continued at user request. + *** LOAD STEP 1 SUBSTEP 18 COMPLETED. CUM ITER = 116 + *** TIME = 0.514934 TIME INC = 0.100000E-03 + *** MAX PLASTIC STRAIN STEP = 0.1223E-04 CRITERION = 0.1500 + *** AUTO STEP TIME: NEXT TIME INC = 0.10000E-03 UNCHANGED + + FORCE CONVERGENCE VALUE = 0.1381E+06 CRITERION= 8.966 + MOMENT CONVERGENCE VALUE = 0.2126E+07 CRITERION= 8.228 + DISP CONVERGENCE VALUE = 38.66 CRITERION= 1.929 + EQUIL ITER 1 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= -38.66 + FORCE CONVERGENCE VALUE = 0.1716E+07 CRITERION= 10.01 + MOMENT CONVERGENCE VALUE = 0.1078E+08 CRITERION= 9.188 + DISP CONVERGENCE VALUE = 4183. CRITERION= 209.2 + EQUIL ITER 2 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 4183. + FORCE CONVERGENCE VALUE = 0.1094E+08 CRITERION= 8790. + MOMENT CONVERGENCE VALUE = 0.6503E+08 CRITERION= 8067. + DISP CONVERGENCE VALUE = 0.1526E+06 CRITERION= 7739. + EQUIL ITER 3 COMPLETED. NEW TRIANG MATRIX. MAX DOF INC= 0.1934E+06 + + *** ERROR *** CP = 0.000 TIME= 00:00:00 + Element 19905 has excessive thickness change. + + *** ERROR *** CP = 0.000 TIME= 00:00:00 + Element 3389 has excessive thickness change. + + *** ERROR *** CP = 0.000 TIME= 00:00:00 + Element 0 (type = 1, SHELL281) (and maybe other elements) has become + highly distorted. Excessive distortion of elements is usually a + symptom indicating the need for corrective action elsewhere. Try + incrementing the load more slowly (increase the number of substeps or + decrease the time step size). You may need to improve your mesh to + obtain elements with better aspect ratios. Also consider the behavior + of materials, contact pairs, and/or constraint equations. Please rule + out other root causes of this failure before attempting rezoning or + nonlinear adaptive solutions. If this message appears in the first + iteration of first substep, be sure to perform element shape checking. + + *** WARNING *** CP = 0.000 TIME= 00:00:00 + The unconverged solution (identified as time 1 substep 999999) is + output for analysis debug purposes. Results should not be used for + any other purpose. + + + + + R E S T A R T I N F O R M A T I O N + + REASON FOR TERMINATION. . . . . . . . . .ERROR IN ELEMENT FORMULATION + FILES NEEDED FOR RESTARTING . . . . . . . buckling0.Rnnn + buckling.ldhi + buckling.rdb + TIME OF LAST SOLUTION . . . . . . . . . . 0.51493 + TIME AT START OF THE LOAD STEP . . . . 0.0000 + TIME AT END OF THE LOAD STEP . . . . . 1.0000 + + ALL CURRENT MAPDL DATA WRITTEN TO FILE NAME= + FOR POSSIBLE RESUME FROM THIS POINT + + + + + + ***** ROUTINE COMPLETED ***** CP = 0.000 + End nonlinear static analysis on imperfect geometry + + + + +.. GENERATED FROM PYTHON SOURCE LINES 296-309 + +############################################################################## + Post-buckling analysis + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + An unconverged solution of the nonlinear static analysis could mean that + buckling has occurred. In this example, the change in time (or load) + increment, and displacement value, occurs between substeps 10 and 11, + which corresponds to TIME = 0.51781 and TIME = 0.53806 and to a pressure + between 0.124 MPa and 0.129 MPa. It is therefore very likely that buckling + occurred at this time; to be sure, the analysis is continued. The goal is to + verify the assessment made at this stage by obtaining the load-displacement + behavior over a larger range. Because the post-buckling state is unstable, + special techniques are necessary to compensate - in this case, nonlinear + stabilization is used. + +.. GENERATED FROM PYTHON SOURCE LINES 309-323 + +.. code-block:: python + + + print('Begin post-buckling analysis') + + mapdl.slashsolu() # Restart analysis with stabilization + mapdl.antype("static", "restart", 1, 10) + mapdl.nsubst(100, 50000, 10) + mapdl.rescontrol("define", "last") + mapdl.stabilize("constant", "energy", 0.000145) # Use energy option + output = mapdl.solve() + mapdl.finish() + + print('End of post-buckling analysis run') + + + + + + + + +.. GENERATED FROM PYTHON SOURCE LINES 324-328 + +############################################################################## + Postprocess buckling analysis in POST1 + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + +.. GENERATED FROM PYTHON SOURCE LINES 328-336 + +.. code-block:: python + + + print('Begin POST1 postprocessing of post-buckling analysis') + mapdl.post1() + mapdl.set("last") + mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) + mapdl.post_processing.plot_nodal_eqv_stress() + mapdl.finish() + print('End POST1 postprocessing of post-buckling analysis') + + +.. rst-class:: sphx-glr-horizontal + + + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_005.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_005.png + :class: sphx-glr-multi-img + + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_006.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_006.png + :class: sphx-glr-multi-img + + + +.. GENERATED FROM PYTHON SOURCE LINES 337-341 + +############################################################################## + Postprocess buckling analysis in POST26 + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + + +.. GENERATED FROM PYTHON SOURCE LINES 341-399 + +.. code-block:: python + + + print('Begin POST26 postprocessing of post-buckling analysis') + mapdl.post26() + + + mapdl.numvar(100) # allow storage for 100 variables + mapdl.enersol(13, "sene") # store stiffness energy + mapdl.enersol(14, "sten") # store artificial stabilization energy + + # time history plot of stiffness and stabilization energies + mapdl.show("png") + mapdl.plvar(13, 14) + mapdl.show("close") + + # pressure versus axial shortening for some nodes under the upper ring + mapdl.nsol(2, 67319, "U", "Z", "UZ1") + mapdl.prod( + ir=3, ia=2, ib="", ic="", name="strain1", facta="", factb="", factc=-1 / 431.8 + ) + mapdl.prod(ir=12, ia=1, ib="", ic="", name="Load", facta="", factb="", factc=0.24) + mapdl.xvar(3) + mapdl.show("png") + mapdl.xrange(0.01) + mapdl.yrange(0.24) + mapdl.axlab("X", "Axial Shortening") + mapdl.axlab("Y", "Applied Pressure ") + mapdl.plvar(12) + mapdl.show("close") + mapdl.xvar(3) + mapdl.show("png") + mapdl.xrange(0.002) + mapdl.yrange(1) + mapdl.axlab("X", "Axial Shortening") + mapdl.axlab("Y", "Time") + mapdl.plvar(1) + mapdl.show("png") + mapdl.show("close") + + # pressure versus radial displacement for the node with max. deformation + mapdl.nsol(6, 65269, "U", "Y", "UY_1") + mapdl.prod(ir=7, ia=6, ib=6, ic="", name="UY2_1") + mapdl.nsol(8, 65269, "U", "X", "UX_1") + mapdl.prod(ir=9, ia=8, ib=8, ic="", name="UX2_1") + mapdl.add(10, 7, 9, "sum") + mapdl.sqrt(ir=11, ia=10, name="Urad") + mapdl.xvar(11) + mapdl.show("png") + mapdl.xrange(4) + mapdl.yrange(0.24) + mapdl.axlab("X", "Radial Displacement") + mapdl.axlab("Y", "Applied Pressure") + mapdl.plvar(12) + mapdl.show("png") + mapdl.show("close") + mapdl.finish() + + print('End POST26 postprocessing of post-buckling analysis') + + +.. rst-class:: sphx-glr-horizontal + + + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_007.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_007.png + :class: sphx-glr-multi-img + + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_008.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_008.png + :class: sphx-glr-multi-img + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_009.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_009.png + :class: sphx-glr-multi-img + + * + + .. image-sg:: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_010.png + :alt: 21 example technology showcase buckling + :srcset: /technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_010.png + :class: sphx-glr-multi-img + + + + + + +.. GENERATED FROM PYTHON SOURCE LINES 400-404 + +############################################################################## + Exit MAPDL + ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + Exit MAPDL instance + +.. GENERATED FROM PYTHON SOURCE LINES 404-407 + +.. code-block:: python + + + mapdl.exit() + print("Exited MAPDL") + + + + +.. rst-class:: sphx-glr-script-out + + .. code-block:: none + + Exited MAPDL + + + + + +.. rst-class:: sphx-glr-timing + + **Total running time of the script:** ( 18 minutes 55.321 seconds) + +@author: pmaroneh \ No newline at end of file diff --git a/doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_000.png b/doc/source/technology_showcase_examples/techdemo-21/images/sphx_glr_21-example-technology-showcase-buckling_000.png new file mode 100644 index 0000000000000000000000000000000000000000..38baf90194e7287306b8fb56d4ca9263736c3004 GIT binary patch literal 12554 zcmeHu_g|FDlKv~AfFP(KphP7ML9%2RkZ=$Q113;Oii(nRh5-SQAZY~2g8|`)f|(p8 zBcKG4oJJ6kG{hkc+dZ7!J$Lus``tg_>kod~etSApJyrEobsJ%1sB`eZ@dF5g9MnCl zbsj;eWf5er2rU)p;gX&8L=av?SL@70@ATQhnS?YY*8N6)A_b{)Hq&jT_es@sC(J^T zJ=fk`HZV|Rw@z7oyW*oawgP|rw?9GaLm^ms12SvTp-Zbyz 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z&pcE1?l!w85dNyQ|8$ zD8c-1E&B)QbMd>;$h8peE-PDa^aARMxp-S9at-g=r;`7-FB$&juK!=Yd-$K(YvK35 sShXbe?n%x_+xP|mfdBr>ZC_o-ed~}?)$9tqt>JlpTt_|Us9E6u0zKy6@&Et; literal 0 HcmV?d00001 diff --git a/doc/styles/Vocab/ANSYS/accept.txt b/doc/styles/Vocab/ANSYS/accept.txt index 0efc8e713..247498dff 100644 --- a/doc/styles/Vocab/ANSYS/accept.txt +++ b/doc/styles/Vocab/ANSYS/accept.txt @@ -13,6 +13,7 @@ eigensolver eigensolvers elastoplastic equibiaxial +EQUIL gage Gerges GPa diff --git a/examples/tech-demos/21-example-technology-showcase-buckling.py b/examples/tech-demos/21-example-technology-showcase-buckling.py index daf2f30f5..964be8316 100644 --- a/examples/tech-demos/21-example-technology-showcase-buckling.py +++ b/examples/tech-demos/21-example-technology-showcase-buckling.py @@ -112,7 +112,7 @@ # read in cdb mapdl.cdread("db", ring_mesh_file) mapdl.allsel() -mapdl.eplot(background="w") +mapdl.eplot(background="w", savefig="eplot.png") mapdl.cmsel("all") ############################################################################### @@ -200,7 +200,9 @@ # Plot total deformation mapdl.post1() mapdl.set("last") -mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +mapdl.post_processing.plot_nodal_displacement( + "NORM", smooth_shading=True, savefig="nodal_disp_static_prestress.png" +) print("End static prestress analysis") #%% @@ -230,9 +232,13 @@ # Plot total deformation of first and 10th mode mapdl.post1() mapdl.set(1, 1) -mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +mapdl.post_processing.plot_nodal_displacement( + "NORM", smooth_shading=True, savefig="nodal_disp_linear_buckling_mode1.png" +) mapdl.set(1, 10) -mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) +mapdl.post_processing.plot_nodal_displacement( + "NORM", smooth_shading=True, savefig="nodal_disp_linear_buckling_mode10.png" +) print("End linear buckling analysis") #%% @@ -307,21 +313,18 @@ # special techniques are necessary to compensate - in this case, nonlinear # stabilization is used. -# This part of the analysis takes a long time to run so has been commented out. -# To run the post-bukcling analysis, uncomment the code. - -# print('Begin post-buckling analysis') +print("Begin post-buckling analysis") -# mapdl.slashsolu() # Restart analysis with stabilization -# mapdl.antype("static", "restart", 1, 10) -# mapdl.nsubst(100, 50000, 10) -# mapdl.rescontrol("define", "last") -# mapdl.stabilize("constant", "energy", 0.000145) # Use energy option -# output = mapdl.solve() -# print(output) -# mapdl.finish() +mapdl.slashsolu() # Restart analysis with stabilization +mapdl.antype("static", "restart", 1, 10) +mapdl.nsubst(100, 50000, 10) +mapdl.rescontrol("define", "last") +mapdl.stabilize("constant", "energy", 0.000145) # Use energy option +output = mapdl.solve() +print(output) +mapdl.finish() -# print('End of post-buckling analysis run') +print("End of post-buckling analysis run") #%% ############################################################################### @@ -329,81 +332,77 @@ # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ # -# Because the post-buckling analysis has been commented out, -# the post-processing is also commented out. - -# print('Begin POST1 postprocessing of post-buckling analysis') -# mapdl.post1() -# mapdl.set("last") -# mapdl.post_processing.plot_nodal_displacement("NORM", smooth_shading=True) -# mapdl.post_processing.plot_nodal_eqv_stress() -# mapdl.finish() -# print('End POST1 postprocessing of post-buckling analysis') +print("Begin POST1 postprocessing of post-buckling analysis") +mapdl.post1() +mapdl.set("last") +mapdl.post_processing.plot_nodal_displacement( + "NORM", smooth_shading=True, savefig="nodal_disp_post_buckling.png" +) +mapdl.post_processing.plot_nodal_eqv_stress(savefig="nodal_stress_post_buckling.png") +mapdl.finish() +print("End POST1 postprocessing of post-buckling analysis") #%% ############################################################################### # Postprocess buckling analysis in POST26 # ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ # -# Because the post-buckling analysis has been commented out, -# the post-processing is also commented out. - -# print('Begin POST26 postprocessing of post-buckling analysis') -# mapdl.post26() +print("Begin POST26 postprocessing of post-buckling analysis") +mapdl.post26() -# mapdl.numvar(100) # allow storage for 100 variables -# mapdl.enersol(13, "sene") # store stiffness energy -# mapdl.enersol(14, "sten") # store artificial stabilization energy +mapdl.numvar(100) # allow storage for 100 variables +mapdl.enersol(13, "sene") # store stiffness energy +mapdl.enersol(14, "sten") # store artificial stabilization energy +mapdl.axlab("X", "Radial Displacement") +mapdl.axlab("Y", "Applied Pressure") +mapdl.plvar(12) # # time history plot of stiffness and stabilization energies -# mapdl.show("png") -# mapdl.plvar(13, 14) -# mapdl.show("close") - -# # pressure versus axial shortening for some nodes under the upper ring -# mapdl.nsol(2, 67319, "U", "Z", "UZ1") -# mapdl.prod( -# ir=3, ia=2, ib="", ic="", name="strain1", facta="", factb="", factc=-1 / 431.8 -# ) -# mapdl.prod(ir=12, ia=1, ib="", ic="", name="Load", facta="", factb="", factc=0.24) -# mapdl.xvar(3) -# mapdl.show("png") -# mapdl.xrange(0.01) -# mapdl.yrange(0.24) -# mapdl.axlab("X", "Axial Shortening") -# mapdl.axlab("Y", "Applied Pressure ") -# mapdl.plvar(12) -# mapdl.show("close") -# mapdl.xvar(3) -# mapdl.show("png") -# mapdl.xrange(0.002) -# mapdl.yrange(1) -# mapdl.axlab("X", "Axial Shortening") -# mapdl.axlab("Y", "Time") -# mapdl.plvar(1) -# mapdl.show("png") -# mapdl.show("close") - -# # pressure versus radial displacement for the node with max. deformation -# mapdl.nsol(6, 65269, "U", "Y", "UY_1") -# mapdl.prod(ir=7, ia=6, ib=6, ic="", name="UY2_1") -# mapdl.nsol(8, 65269, "U", "X", "UX_1") -# mapdl.prod(ir=9, ia=8, ib=8, ic="", name="UX2_1") -# mapdl.add(10, 7, 9, "sum") -# mapdl.sqrt(ir=11, ia=10, name="Urad") -# mapdl.xvar(11) -# mapdl.show("png") -# mapdl.xrange(4) -# mapdl.yrange(0.24) -# mapdl.axlab("X", "Radial Displacement") -# mapdl.axlab("Y", "Applied Pressure") -# mapdl.plvar(12) -# mapdl.show("png") -# mapdl.show("close") -# mapdl.finish() - -# print('End POST26 postprocessing of post-buckling analysis') +mapdl.show("png") +mapdl.plvar(13, 14) +mapdl.show("close") + +# pressure versus axial shortening for some nodes under the upper ring +mapdl.nsol(2, 67319, "U", "Z", "UZ1") +mapdl.prod( + ir=3, ia=2, ib="", ic="", name="strain1", facta="", factb="", factc=-1 / 431.8 +) +mapdl.prod(ir=12, ia=1, ib="", ic="", name="Load", facta="", factb="", factc=0.24) +mapdl.xvar(3) +mapdl.show("png") +mapdl.xrange(0.01) +mapdl.yrange(0.24) +mapdl.axlab("X", "Axial Shortening") +mapdl.axlab("Y", "Applied Pressure ") +mapdl.plvar(12) +mapdl.show("close") +mapdl.xvar(3) +mapdl.show("png") +mapdl.xrange(0.002) +mapdl.yrange(1) +mapdl.axlab("X", "Axial Shortening") +mapdl.axlab("Y", "Time") +mapdl.plvar(1) +mapdl.show("png") +mapdl.show("close") + +# pressure versus radial displacement for the node with max. deformation +mapdl.nsol(6, 65269, "U", "Y", "UY_1") +mapdl.prod(ir=7, ia=6, ib=6, ic="", name="UY2_1") +mapdl.nsol(8, 65269, "U", "X", "UX_1") +mapdl.prod(ir=9, ia=8, ib=8, ic="", name="UX2_1") +mapdl.add(10, 7, 9, "sum") +mapdl.sqrt(ir=11, ia=10, name="Urad") +mapdl.xvar(11) +mapdl.show("png") +mapdl.xrange(4) +mapdl.yrange(0.24) +mapdl.show("png") +mapdl.show("close") +mapdl.finish() + +print("End POST26 postprocessing of post-buckling analysis") #%% ############################################################################### From d0a9d7bb78b281b21cc38de5fc96ce397635b9df Mon Sep 17 00:00:00 2001 From: Camille <78221213+clatapie@users.noreply.github.com> Date: Wed, 22 Mar 2023 12:38:21 +0100 Subject: [PATCH 15/20] Deleting vms folder --- vms/readme.rst | 4 ---- 1 file changed, 4 deletions(-) delete mode 100644 vms/readme.rst diff --git a/vms/readme.rst b/vms/readme.rst deleted file mode 100644 index 6b8aaaf7b..000000000 --- a/vms/readme.rst +++ /dev/null @@ -1,4 +0,0 @@ -Title -------- - -Read me. \ No newline at end of file From 20f52e0943bc7096bb901b066e80239f44e03319 Mon Sep 17 00:00:00 2001 From: Camille <78221213+clatapie@users.noreply.github.com> Date: Wed, 22 Mar 2023 12:47:01 +0100 Subject: [PATCH 16/20] Code spell changes --- .codespellrc | 2 +- .pre-commit-config.yaml | 2 +- .../techdemo-28/ex_28-tecfricstir.rst | 4 ++-- 3 files changed, 4 insertions(+), 4 deletions(-) diff --git a/.codespellrc b/.codespellrc index 38edd10ff..8663b40fc 100644 --- a/.codespellrc +++ b/.codespellrc @@ -1,4 +1,4 @@ [codespell] skip = *.pyc,*.xml,*.txt,*.gif,*.png,*.jpg,*.js,*.html,*.doctree,*.ttf,*.woff,*.woff2,*.eot,*.mp4,*.inv,*.pickle,*.ipynb,flycheck*,./.git/*,./.hypothesis/*,*.yml,./doc/build/*,./doc/images/*,./dist/*,*~,.hypothesis*,./doc/source/examples/*,*cover,*.dat,*.mac quiet-level = 3 -ignore-words-list = pres,nax,tickness,struc,parm,filname +ignore-words-list = pres,nax,tickness,struc,parm,filname,equil,gage diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml index bef5e7558..bb75a4dc3 100644 --- a/.pre-commit-config.yaml +++ b/.pre-commit-config.yaml @@ -22,7 +22,7 @@ repos: - id: flake8 - repo: https://github.com/codespell-project/codespell - rev: v2.2.2 + rev: v2.2.4 hooks: - id: codespell diff --git a/doc/source/technology_showcase_examples/techdemo-28/ex_28-tecfricstir.rst b/doc/source/technology_showcase_examples/techdemo-28/ex_28-tecfricstir.rst index a04155e92..d44acf5b0 100644 --- a/doc/source/technology_showcase_examples/techdemo-28/ex_28-tecfricstir.rst +++ b/doc/source/technology_showcase_examples/techdemo-28/ex_28-tecfricstir.rst @@ -153,7 +153,7 @@ cylindrical shape tool, as shown in the following figure: # ***** Problem parameters ******** l = 76.2e-03 # Length of each plate,m w = 31.75e-03 # Width of each plate,m - t = 3.18e-03 # Tickness of each plate,m + t = 3.18e-03 # Thickness of each plate,m r1 = 7.62e-03 # Shoulder radius of tool,m h = 15.24e-03 # Height of tool, m l1 = r1 # Starting location of tool on weldline @@ -257,7 +257,7 @@ The height of the tool is equal to the shoulder diameter. Both the workpiece # ***** Problem parameters ******** l = 76.2e-03 # Length of each plate,m w = 31.75e-03 # Width of each plate,m - t = 3.18e-03 # Tickness of each plate,m + t = 3.18e-03 # Thickness of each plate,m r1 = 7.62e-03 # Shoulder radius of tool,m h = 15.24e-03 # Height of tool, m l1 = r1 # Starting location of tool on weldline From ca7c2955d615a214e743337af52405520ee34c45 Mon Sep 17 00:00:00 2001 From: German <28149841+germa89@users.noreply.github.com> Date: Wed, 22 Mar 2023 20:53:21 +0700 Subject: [PATCH 17/20] Apply suggestions from code review --- .../techdemo-21/21-example-technology-showcase-buckling.rst | 2 +- 1 file changed, 1 insertion(+), 1 deletion(-) diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst index 57f942a77..b055966ce 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst +++ b/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst @@ -10,7 +10,7 @@ cylinder using nonlinear stabilization ====================================================== This examples shows how to use PyMAPDL to import an existing FE model and to -perform a nonlinear buckling and postbuckling analysis using nonlinear +perform a nonlinear buckling and post-buckling analysis using nonlinear stabilization. The problem uses a stiffened cylinder subjected to uniform external pressure to show how to find the nonlinear buckling loads, achieve convergence at the post-buckling stage, and interpret the results. From ba38dd5eb0475b4cb412b489b45d8d6214190206 Mon Sep 17 00:00:00 2001 From: Camille <78221213+clatapie@users.noreply.github.com> Date: Thu, 23 Mar 2023 12:19:19 +0100 Subject: [PATCH 18/20] Fixing the documentation to add example21 as en rst file --- .../sphx_glr_tse-021-buckling_thumb.png} | Bin doc/source/index.rst | 4 +- .../thumb/sphx_glr_tse-021-buckling_thumb.png | Bin 0 -> 145248 bytes .../technology_showcase_examples/index.rst | 17 +- .../techdemo-1/ex_01-tecbrakesqueal.rst | 2 +- ...ase-buckling.rst => ex_21-tecbuckling.rst} | 185 +++++++----------- examples/tech-demos/readme.rst | 9 - 7 files changed, 77 insertions(+), 140 deletions(-) rename doc/source/{technology_showcase_examples/images/thumb/sphx_glr_21-example-technology-showcase-buckling.png => images/thumb/sphx_glr_tse-021-buckling_thumb.png} (100%) create mode 100644 doc/source/technology_showcase_examples/images/thumb/sphx_glr_tse-021-buckling_thumb.png rename doc/source/technology_showcase_examples/techdemo-21/{21-example-technology-showcase-buckling.rst => ex_21-tecbuckling.rst} (94%) delete mode 100644 examples/tech-demos/readme.rst diff --git a/doc/source/technology_showcase_examples/images/thumb/sphx_glr_21-example-technology-showcase-buckling.png b/doc/source/images/thumb/sphx_glr_tse-021-buckling_thumb.png similarity index 100% rename from doc/source/technology_showcase_examples/images/thumb/sphx_glr_21-example-technology-showcase-buckling.png rename to doc/source/images/thumb/sphx_glr_tse-021-buckling_thumb.png diff --git a/doc/source/index.rst b/doc/source/index.rst index 4f510d569..ee631ffc0 100644 --- a/doc/source/index.rst +++ b/doc/source/index.rst @@ -44,8 +44,8 @@ Verification Manual `_. They are complete and concrete case studies which necessitate more resources. .. include:: ./technology_showcase_examples/index.rst - :start-line: 9 - :end-line: 112 + :start-line: 11 + :end-line: 130 .. === TECHNOLOGY SHOWCASES === diff --git a/doc/source/technology_showcase_examples/images/thumb/sphx_glr_tse-021-buckling_thumb.png b/doc/source/technology_showcase_examples/images/thumb/sphx_glr_tse-021-buckling_thumb.png new file mode 100644 index 0000000000000000000000000000000000000000..ea4b287833611fc97328930dbb50ef096b2c1b9a GIT binary patch literal 145248 zcmeFYc{J32_&z+0ec$)cq=-a_B*v~H6q0oa+4r(D_PwNpkfn{1$ewLTmdH}dl4WdJ zvhT~7c|WgreSXjHd!F&_81mcROnsGqRGBL2h!PIIV!tHwP@~#?dycIu@z{#eeE~1W# z`WBB$3!$fes2wF%DgP^(QAOHW(?WH`LR%TFSk_rX_~GT&0`ib@RlKoQ@LTK4sr$Q(I*T_Jzf(^`#KWItmXnCTSDnzL4Trzzr1?LW{GWCC|1B7@+k}YUghG#IgwQ|t zZYL!f>>OiZ1)s&?4|X~N9o_X*Kp9|Ny@+; za8D}s1@;aP4_o<<@5CxJOf^R!x3;!C1G_E4|E?He6mR{;Smp3rO4C~CT6T6e!4q1+ z5f4kDi|gFj4Q||CFpfIpk5S&?GyK7`nx>r+{6VjO*q_3%Kc->7O_wo3A?s?BBYk1j zjV1GF=)jhz+Pq|_VeY&xzBo=OY(GlqNO(PhIb_lR+BQHF7Y*WU_p`w7DWw9``VGQ2oS?FM7{6 zZ~wFC0|7;!y>Wjev+{QTGye(Nkey--u~SE7a|TVC!S4BEGhREVJH#;yO;k7=CusQc2A(S5h(Vu-G3*82`J)8!6ZjKR>R34yB0= zBzhgG`r=!_s&C$??*_ac24S0zbzj}cov)~<`027!RT{bi?};mJ*A>1y^Yvmqp18{0 zxS&;KE_rQ0X{}*vrxY7n{L{Qwc6Sp*M3(FO(;3~(M@L7&6I;1bVH-(pn7qxj!lOY? z;$XG=C>+y-)q2m6kfT>pp>K#wV9$QQ&oeSIQe%}WJ>6=-H@ek&x2!1NO66aO+6#0o3Yk_^ik-}o_JHb45S6@9+7VOw4(1_!^-|m~cl|z5FHvh((F|ft9 zwOs+5$JPRLcw!Ag{}`>5dWOvK<2Tc5#=JX@we@g<7!3OjcBBKn_pz_>@Mmcl*zG3{ zW^atkcP{vI3vSi|W zna6h!aB;5AhezEPwp&q(BOTuE)qA+OsNkI9X(U> zR{<+kVl18q9nG&S`nj)4){JfbC{)>5uIN+onpCYAvAjp_HDu*a#*GR2K-}pE+ro6L zZnH~5>f`LAT;JT#-I4Z8c&a4A8g4!}7=+bpZrpwwwCf2`fjEnzW>)!q+Ti2j>+Fe* z2mZrb02cb7SD3?Bj>=1Bd8F;axQYAVUl{U7B44(SvhhcAYs85)<+*byA9n^VBA`tS zse5^Oc`FYJ$(A~KWpiS$$=}WGtMxhnv%wFA)@cBQ! zXyd8Kp;wuQG1fO1IU7iVOF^|9Wdn_cum4_*2;_yneAjn zzf=iWx5;`9qV7JHO9Kfyf(r7f^O&(6Ns9ca)&=rHA@BLXtRhEP06+(U{;Z@Jo z&-DD8;4xdC)rm$Wnn;+=;7PkRDFTX{0QDC|!=^>EdR{BH<{f>>JDLD_1s02h-H*d& zW@iT<4&;%Fbd>)*&O4d~S?yBw>xro~?eciN|7f*4hz@`sOVG3wX<8Bh5C6n^tY5vA z_>*c+eAu9wqw@Y_RA6q({rk_n+j*N`Wmx~Jc%P4dA-E$pc`haJE5H}2hV@T{$}7&` zVZm#`_)#ah@Qsa)?z8m_!&R;sja#4~mR0RnnY-_;j)P3b9>D205xf@KE}MJ(jj>zJ zz^97bop)QkN^64_o{h7QbaO$)mgi$sYRVP)G9$QGE6q^ji5HA5Xq*Gpek4q1U|;~C z+Y}s=Dxh+iT6)L0Yus(2Fe!=zraG#5(tRkTH_wM zlHc;>NA?Nb6X4_oBAV5UbTBV^<-1E20B(MY7GB33+iWQ^kWNYG=6<=B9^>b)U;ji8 zC$d$&U*pWNwf#@rO=UUUSIV#u>35C+jN|e+c+Wz97F#={VE5|rp=}b@tQ{M1D%%Ak zBO@3>6{eyP4f8axNqrY)lBF363k&gkO?%@2+?pjY2VL;m?_L5E3-~R8p}hpd(iA-= z^R;vR`1_m1%^Ncv?hr`kzai%fNdBx z;k9;0(v5{|^F~sBI6+T|ilVm*n2Dguj^EBWCL{!b$pr@!!NVYsWdxkm z`xU?e-;RGJt3CWv3>TLnm#RyBDaVv{VbTgBnZOlH3KsjvL8twehgmy5;AHMee4uTH zodgWj%1x}mQAEzYxdpNJ$_F^25?G)2~o`;CJ2)!%vcYuWfO zPe)~233Q+j9-{+$Km`hzim5VRsatwqaV^Xm1jsK*`gbt?!+%UeC2V=D!O6qaI`Gvv z_wp3r*7Hhu=bGQ<9Z5Mp|6XQq6b!hhHwgcIqW0fBuE--UA5J8WFTe>-N@&mYZ(Oo! zv+i`ob>7Jj{X0VYE%A)*`8;eG3k6`N-6QASev;Oiq5jxSm{`BBU#)|ar{tytO=L#X z_A7Amu`Eq;qcZ=?@le^O6(b>l+TtB;XOU>4>oKqjJtOG zyYA3$RCY8Q0zT34-t#*HtxvTok3J0ru|e@%tel^-bmM>gzRH~O0)W@PMNqCPl*|3s zCaN&@j}8BIFkYO!!Zry?k#eEX#k-w?ihEz7pd6^6bz7)@sHZbb8Y zT=?m4ThjCa3k6yIgvmzsJt{S?pC+ctgpocHsPgjbIYLL1)GM9DV(Xo^3XO}`c0U6` z1t2x1_7--9dqm_Pmq%F`ezdIqhMn5%mclH5g|YKE;c@Qv%OwyXVElL-7P6SwOc$m} zJ_iUAw&5(eHIlfLVV3~+hTiPF9KcddV(MNDNW8C|hR-$M{3_zk&4IJunkeAi5m@*P zcH?YD5(fHHN^<$&Oa9yEpcFbR6%`c?eh>9QM}08CFB#I3NB$Qxb3dKrZidFf5CT{; zSOIVi)S$V|ESKHG-7rZB@4ovQAch*?tOuyGM}lD(C-(@$f2WgsmZ67zh!B%+i&O&) z|IZfI4=Q7@hW1Nh&;BS0XXpJR+M3$&|1oZ+Hb0rP|NF~wO%Rr;B^s^>d$E6G1MRVY zKe!!BT=^egIwZh7GmE%EM5p1uBP}cM@qf7s9)2|(-ni=j_lGBiJN$q0@F$2b|NGVd z>sZY(`aizxV$=FNj1sbk1^?~7jQamtG_mT(|NG0dlZjw=-Hrh)&~T0!GWNmsj=GkL)F9Aa*_pXicaQU z{7r@GE*#d6{hkDdabCV|QV@ZRPzsZshEoS6` z&fl87wB+`|(IO!tzEd0?JMZ+%&xe#qDxc2d_e8b(quHgIzCHTphv1bPbGW}(ap8O9 zMS&<;8|KfeN7wy57a}6Uyc^Kl%v=W_KWh!TOk(eslk$fr{{ zPQG&LgI63uJuiZy%Q|yHwmnaso==*7Yhs6czEXp7_E~(}tj`8{{Kz|J$5SnvuzP z><2OQ8ezourRaCYg4wV+uL7k;#*7x$fc|kyCe9*tPB!k2jN^XYh)6Xu1&>q5H&;Uz z*uqIqkjMc9ba}&fGL@7Qr?nYzl1X`

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They initially were MAPDL files. They have been reproduced in Python files using PyMAPDL with the ``ansys-mapdl-core`` library. @@ -73,18 +71,18 @@ They have been reproduced in Python files using PyMAPDL with the ``ansys-mapdl-c .. raw:: html -

@@ -130,16 +128,17 @@ They have been reproduced in Python files using PyMAPDL with the ``ansys-mapdl-c
- .. toctree:: :hidden: techdemo-1/ex_01-tecbrakesqueal.rst techdemo-15/ex_15-teccalvalhyper.rst techdemo-20/ex_20-tecPCB.rst + techdemo-21/ex_21-tecbuckling.rst techdemo-25/ex_25-tecstent.rst techdemo-28/ex_28-tecfricstir.rst + .. only:: html .. rst-class:: sphx-glr-signature diff --git a/doc/source/technology_showcase_examples/techdemo-1/ex_01-tecbrakesqueal.rst b/doc/source/technology_showcase_examples/techdemo-1/ex_01-tecbrakesqueal.rst index 248634641..18834b825 100644 --- a/doc/source/technology_showcase_examples/techdemo-1/ex_01-tecbrakesqueal.rst +++ b/doc/source/technology_showcase_examples/techdemo-1/ex_01-tecbrakesqueal.rst @@ -3,7 +3,7 @@ .. _tech_demo_01: Brake Squeal Analysis ---------------------- +===================== This example analysis shows how to solve a brake-squeal problem. `1.6. Analysis and Solution Controls`_ are highlighted: linear non-prestressed diff --git a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst b/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst similarity index 94% rename from doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst rename to doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst index b055966ce..2727366d1 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/21-example-technology-showcase-buckling.rst +++ b/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst @@ -1,22 +1,20 @@ -.. rst-class:: sphx-glr-example-title +.. _sphx_glr_ex_21-tecbuckling.rst: -.. _sphx_glr_technology_showcase_examples_21-example-technology-showcase-buckling.py: +.. _tech_demo_21: -.. _ref_buckling_postbuckling_ring_stiffened_cylinder: +Buckling and post-buckling analysis of a ring-stiffened cylinder using nonlinear stabilization +============================================================================================== -Buckling and post-buckling analysis of a ring-stiffened -cylinder using nonlinear stabilization -====================================================== -This examples shows how to use PyMAPDL to import an existing FE model and to -perform a nonlinear buckling and post-buckling analysis using nonlinear +This examples shows how to use PyMAPDL to import an existing FE model and +to perform a7 nonlinear buckling and post-buckling analysis using nonlinear stabilization. The problem uses a stiffened cylinder subjected to uniform -external pressure to show how to find the nonlinear buckling loads, -achieve convergence at the post-buckling stage, and interpret the results. +external pressure to show how to find the nonlinear buckling loads, achieve +convergence at the post-buckling stage, and interpret the results. -This example is inspired from the model and analysis defined in Chapter 21 of -the Mechanical APDL Technology Showcase Manual. +This example is inspired from the model and analysis defined in Chapter 21 +of the Mechanical APDL Technology Showcase Manual. Setting up model @@ -45,9 +43,6 @@ by default. Starting MAPDL as a service and importing an external model ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - -.. GENERATED FROM PYTHON SOURCE LINES 52-118 - .. code-block:: python @@ -141,10 +136,10 @@ Starting MAPDL as a service and importing an external model -.. GENERATED FROM PYTHON SOURCE LINES 119-129 Define static prestress analysis -~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ + Displacement boundary conditions are defined to prevent the six rigid body motions. A total of six displacements are therefore applied to three nodes located on the top plate at 0, 90, and 270 degrees; the nodes are restricted @@ -154,8 +149,6 @@ cylinder. Loading consists of a uniformly distributed external differential pressure: Pext = 0.24 MPa -.. GENERATED FROM PYTHON SOURCE LINES 129-206 - .. code-block:: python @@ -404,21 +397,17 @@ pressure: Pext = 0.24 MPa -.. GENERATED FROM PYTHON SOURCE LINES 207-218 - -############################################################################## - Run linear buckling analysis - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - This preliminary analysis predicts the theoretical buckling pressure of the - ideal linear elastic structure (perfect cylinder) and the buckled mode shapes - used in the next step to generate the imperfections. - It is also an efficient way to check the completeness and - correctness of modeling. - To run the linear buckling analysis, a static solution with prestress effects - must be obtained, followed by the eigenvalue buckling solution using the - Block Lanczos method and mode expansion. - -.. GENERATED FROM PYTHON SOURCE LINES 218-238 +Run linear buckling analysis +---------------------------- + +This preliminary analysis predicts the theoretical buckling pressure of the +ideal linear elastic structure (perfect cylinder) and the buckled mode shapes +used in the next step to generate the imperfections. +It is also an efficient way to check the completeness and +correctness of modeling. +To run the linear buckling analysis, a static solution with prestress effects +must be obtained, followed by the eigenvalue buckling solution using the +Block Lanczos method and mode expansion. .. code-block:: python @@ -534,27 +523,21 @@ pressure: Pext = 0.24 MPa End linear buckling analysis +Generate imperfections +---------------------- - -.. GENERATED FROM PYTHON SOURCE LINES 239-254 - -############################################################################## - Generate imperfections - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - If a structure is perfectly symmetric, nonsymmetric buckling does not occur - numerically, and a nonlinear buckling analysis fails because - nonsymmetric buckling responses cannot be triggered. In this problem, - the geometry, elements, and pressure are all axisymmetric. - It is not possible, therefore, to simulate nonaxisymmetric buckling with - the initial model. To overcome this problem, small geometric imperfections - (similar to those caused by manufacturing a real structure) must be - introduced to trigger the buckling responses. - Because the radius of the cylinder is 355.69 mm and the maximum - displacement of a mode shape is 1 mm, a factor of 0.1 is applied when - updating the geometry with mode shapes. The factor assumes the manufacturing - tolerance of the radius to be on the order of 0.1. - -.. GENERATED FROM PYTHON SOURCE LINES 254-265 +If a structure is perfectly symmetric, nonsymmetric buckling does not occur +numerically, and a nonlinear buckling analysis fails because +nonsymmetric buckling responses cannot be triggered. In this problem, +the geometry, elements, and pressure are all axisymmetric. +It is not possible, therefore, to simulate nonaxisymmetric buckling with +the initial model. To overcome this problem, small geometric imperfections +(similar to those caused by manufacturing a real structure) must be +introduced to trigger the buckling responses. +Because the radius of the cylinder is 355.69 mm and the maximum +displacement of a mode shape is 1 mm, a factor of 0.1 is applied when +updating the geometry with mode shapes. The factor assumes the manufacturing +tolerance of the radius to be on the order of 0.1. .. code-block:: python @@ -583,20 +566,17 @@ pressure: Pext = 0.24 MPa -.. GENERATED FROM PYTHON SOURCE LINES 266-276 +Run nonlinear static analysis on geometry with imperfections +------------------------------------------------------------ -############################################################################## - Run nonlinear static analysis on geometry with imperfections - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - The nonlinear buckling analysis is a static analysis performed after adding - imperfections with large deflection active (NLGEOM,ON), extended to a point - where the stiffened cylinder can reach its limit load. - To perform the analysis, the load must be allowed to increase using very - small time increments so that the expected critical buckling load can - be predicted accurately. - Note - as this is a buckling analysis, divergence is expected. +The nonlinear buckling analysis is a static analysis performed after adding +imperfections with large deflection active (NLGEOM,ON), extended to a point +where the stiffened cylinder can reach its limit load. +To perform the analysis, the load must be allowed to increase using very +small time increments so that the expected critical buckling load can +be predicted accurately. +Note - as this is a buckling analysis, divergence is expected. -.. GENERATED FROM PYTHON SOURCE LINES 276-295 .. code-block:: python @@ -1442,28 +1422,23 @@ pressure: Pext = 0.24 MPa +Post-buckling analysis +---------------------- -.. GENERATED FROM PYTHON SOURCE LINES 296-309 +An unconverged solution of the nonlinear static analysis could mean that +buckling has occurred. In this example, the change in time (or load) +increment, and displacement value, occurs between substeps 10 and 11, +which corresponds to TIME = 0.51781 and TIME = 0.53806 and to a pressure +between 0.124 MPa and 0.129 MPa. It is therefore very likely that buckling +occurred at this time; to be sure, the analysis is continued. The goal is to +verify the assessment made at this stage by obtaining the load-displacement +behavior over a larger range. Because the post-buckling state is unstable, +special techniques are necessary to compensate - in this case, nonlinear +stabilization is used. -############################################################################## - Post-buckling analysis - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - An unconverged solution of the nonlinear static analysis could mean that - buckling has occurred. In this example, the change in time (or load) - increment, and displacement value, occurs between substeps 10 and 11, - which corresponds to TIME = 0.51781 and TIME = 0.53806 and to a pressure - between 0.124 MPa and 0.129 MPa. It is therefore very likely that buckling - occurred at this time; to be sure, the analysis is continued. The goal is to - verify the assessment made at this stage by obtaining the load-displacement - behavior over a larger range. Because the post-buckling state is unstable, - special techniques are necessary to compensate - in this case, nonlinear - stabilization is used. - -.. GENERATED FROM PYTHON SOURCE LINES 309-323 .. code-block:: python - print('Begin post-buckling analysis') mapdl.slashsolu() # Restart analysis with stabilization @@ -1478,19 +1453,8 @@ pressure: Pext = 0.24 MPa - - - - - -.. GENERATED FROM PYTHON SOURCE LINES 324-328 - -############################################################################## - Postprocess buckling analysis in POST1 - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - -.. GENERATED FROM PYTHON SOURCE LINES 328-336 +Postprocess buckling analysis in POST1 +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: python @@ -1523,14 +1487,8 @@ pressure: Pext = 0.24 MPa -.. GENERATED FROM PYTHON SOURCE LINES 337-341 - -############################################################################## - Postprocess buckling analysis in POST26 - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - - -.. GENERATED FROM PYTHON SOURCE LINES 341-399 +Postprocess buckling analysis in POST26 +~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ .. code-block:: python @@ -1628,14 +1586,12 @@ pressure: Pext = 0.24 MPa -.. GENERATED FROM PYTHON SOURCE LINES 400-404 -############################################################################## - Exit MAPDL - ~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~ - Exit MAPDL instance +Exit MAPDL +---------- + +Exit MAPDL instance. -.. GENERATED FROM PYTHON SOURCE LINES 404-407 .. code-block:: python @@ -1644,8 +1600,6 @@ pressure: Pext = 0.24 MPa print("Exited MAPDL") - - .. rst-class:: sphx-glr-script-out .. code-block:: none @@ -1653,11 +1607,4 @@ pressure: Pext = 0.24 MPa Exited MAPDL - - - -.. rst-class:: sphx-glr-timing - - **Total running time of the script:** ( 18 minutes 55.321 seconds) - @author: pmaroneh \ No newline at end of file diff --git a/examples/tech-demos/readme.rst b/examples/tech-demos/readme.rst deleted file mode 100644 index d19916bf3..000000000 --- a/examples/tech-demos/readme.rst +++ /dev/null @@ -1,9 +0,0 @@ -.. _ref_techdemos_examples: - -========================================== -Technology showcase demonstration examples -========================================== - -This section demonstrates a range of Mechanical APDL elements and capabilities -in straightforward problems which have “classical” or readily-obtainable -theoretical solutions using PyMAPDL. From 80ac4d10bd9f4f6f94259583d77a98ca31f14e32 Mon Sep 17 00:00:00 2001 From: Camille <78221213+clatapie@users.noreply.github.com> Date: Thu, 23 Mar 2023 12:29:33 +0100 Subject: [PATCH 19/20] Fixing VALE warnings --- .../techdemo-21/ex_21-tecbuckling.rst | 8 +++++--- doc/styles/Vocab/ANSYS/accept.txt | 7 ++++++- .../tech-demos/21-example-technology-showcase-buckling.py | 4 ++-- 3 files changed, 13 insertions(+), 6 deletions(-) diff --git a/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst b/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst index 2727366d1..e23e6eb5e 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst +++ b/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst @@ -21,7 +21,7 @@ Setting up model ---------------- The original FE model is given in the Ansys Mechanical APDL Technology -Showcase Manual. The .cdb contains a FE model of a ring-stiffened cylinder. +Showcase Manual. The .cdb contains a FE model of a ring-stiffened cylinder. A circular cylinder made of bare 2024-T3 aluminum alloy is stiffened inside with five Z-section rings. Its ends are closed with thick aluminum bulkheads. @@ -147,7 +147,7 @@ so that all rigid translations and rotations are not possible for the cylinder. Loading consists of a uniformly distributed external differential -pressure: Pext = 0.24 MPa +pressure: :math:`P_{ext} = 0.24 MPa` .. code-block:: python @@ -1607,4 +1607,6 @@ Exit MAPDL instance. Exited MAPDL -@author: pmaroneh \ No newline at end of file +:Author: + + https://github.com/pmaroneh \ No newline at end of file diff --git a/doc/styles/Vocab/ANSYS/accept.txt b/doc/styles/Vocab/ANSYS/accept.txt index 247498dff..8494b2c43 100644 --- a/doc/styles/Vocab/ANSYS/accept.txt +++ b/doc/styles/Vocab/ANSYS/accept.txt @@ -2,6 +2,7 @@ Allgaier ansys Ansys ANSYS +axisymmetric centerline Chao Conshohocken @@ -13,7 +14,6 @@ eigensolver eigensolvers elastoplastic equibiaxial -EQUIL gage Gerges GPa @@ -32,15 +32,20 @@ Lanczos Mahoney MAPDL Matplotlib +midplane midside Mises Mishra MPa multipoint +nonaxisymmetric nonlinearities +nonsymmetric Ozel Poisson +pmaroneh postprocess +Postprocess Prasanna Prestressed prestressed diff --git a/examples/tech-demos/21-example-technology-showcase-buckling.py b/examples/tech-demos/21-example-technology-showcase-buckling.py index 964be8316..337426f73 100644 --- a/examples/tech-demos/21-example-technology-showcase-buckling.py +++ b/examples/tech-demos/21-example-technology-showcase-buckling.py @@ -27,7 +27,7 @@ # ---------------- # # The original FE model is given in the Ansys Mechanical APDL Technology -# Showcase Manual. The .cdb contains a FE model of a ring-stiffened cylinder. +# Showcase Manual. The .cdb contains a FE model of a ring-stiffened cylinder. # # A circular cylinder made of bare 2024-T3 aluminum alloy is stiffened inside # with five Z-section rings. Its ends are closed with thick aluminum bulkheads. @@ -125,7 +125,7 @@ # cylinder. # # Loading consists of a uniformly distributed external differential -# pressure: Pext = 0.24 MPa +# pressure: :math:`P_{ext} = 0.24 MPa` print("Begin static prestress analysis") From 2a9f78e65050c99df6496b78fb836536a87bc5ef Mon Sep 17 00:00:00 2001 From: Camille <78221213+clatapie@users.noreply.github.com> Date: Thu, 23 Mar 2023 14:14:29 +0100 Subject: [PATCH 20/20] Removing author mention --- .../techdemo-21/ex_21-tecbuckling.rst | 5 ----- 1 file changed, 5 deletions(-) diff --git a/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst b/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst index e23e6eb5e..64747a445 100644 --- a/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst +++ b/doc/source/technology_showcase_examples/techdemo-21/ex_21-tecbuckling.rst @@ -1605,8 +1605,3 @@ Exit MAPDL instance. .. code-block:: none Exited MAPDL - - -:Author: - - https://github.com/pmaroneh \ No newline at end of file