GBTStraightPipeLinear

FEM implementation of GBT for analysis of thin-walled straight pipe members

GBTStraightPipeLinear is a C++ code currently under development for stress and deformation analysis of straight thin-walled circular pipes based on the Generalized Beam Theory (GBT). This code is based on the PhD thesis: Generalized Beam Theory (GBT) for the analysis of thin-walled circular pipe members, https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/4572 , chapter 2

Getting started

We recomend to use Visual Studio IDE and vcpkg C++ library manager. Before you run the program, please update the path of the vcpkg.cmake file in the CMakeLists.txt.

Dependencies

• C++ 20
• Libraries: Eigen, OpenMP, matplot++ and gnuplot

Code structure

src\

• main.cpp -> preprocessing, solver and postprocessing

include\

preprocessing headers

• boundary_conditions.h
• LM_connectivity_matrix.h
• ik_tensor.h
• mode_coupling_ik.h
• element_stiffness_matrix.h
• loading.h

postprocessing headers

• GBT_function.h
• amplitude_function.h
• displacements.h
• mesh.h

Numerical Example

The numerical example is developed to validate and illustrate the application and capabilities of the linear GBT formulation and its numerical implementation. Here, a short cantilever pipe is considered as a numerical example with the physical properties and boundary conditions shown below.

The generalized modal amplitude vector

Force vector

Element stiffness matrix

Deformation shape of a short cantilever pipe

Citation

If you use any of the GBTStraightPipeLinear packages to produce scientific articles, please cite: https://e-pub.uni-weimar.de/opus4/frontdoor/index/index/docId/4572