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#!/usr/bin/env python3
import math
import sys
import pycalculix as pyc
# We'll be modeling a masonry gravity dam, the Beetaloo dam in Australia
# This time, we'll include multiple time steps
# make model
model_name = 'dam-times'
model = pyc.FeaModel(model_name)
# this sets dist units to meters, labels our consistent units
model.set_units('m')
# set whether or not to show gui plots
show_gui = True
if '-nogui' in sys.argv:
show_gui = False
# set element shape
eshape = 'quad'
if '-tri' in sys.argv:
eshape = 'tri'
# Problem constants
grav = 9.81 # m/s^2
dens_water = 1000 #kg/m^3
press_atm = 101325 # Pascals = N/m^2 = kg/(m-s^2)
dam_ht_ft = 115
water_ht_ft = 109
length_dam_ft = 580
# derived dims
water_ax = (water_ht_ft-22)/math.tan(math.radians(89)) + 12
top_ax = (dam_ht_ft-22)/math.tan(math.radians(89)) + 12
thickness = length_dam_ft*0.3048 # conversion to metric
# derived dimensions, tan = o/a --> o/tan = a
pts_ft_water = [[8,0],[22,12],[water_ht_ft,water_ax]]
pts_ft_air = [[dam_ht_ft,top_ax], [dam_ht_ft, top_ax + 14]]
water_ht_m = water_ht_ft*0.3048
# make part, coordinates are x, y = radial, axial
part = pyc.Part(model)
part.goto(0.0,0.0)
water_lines = []
air_lines = []
for [x,y] in pts_ft_water:
[x,y] = [x*0.3048,y*0.3048] # conversion to metric
[L1,p1,p2] = part.draw_line_to(x, y)
water_lines.append(L1)
for [x,y] in pts_ft_air:
[x,y] = [x*0.3048,y*0.3048] # conversion to metric
[L1,p1,p2] = part.draw_line_to(x, y)
air_lines.append(L1)
# make the two arcs
pts_ft_arcs = [ [[22,73],[146,208]], [[14,98],[41,93]] ]
for [[x,y],[xc,yc]] in pts_ft_arcs:
[x,y] = [x*0.3048,y*0.3048]
[xc,yc] = [xc*0.3048,yc*0.3048]
[L1,p1,p2] = part.draw_arc(x,y,xc,yc)
air_lines.append(L1)
# make the last 3 lines after the arcs
pts_ft_other = [ [2,110], [0, 110] ]
for [x,y] in pts_ft_other:
[x,y] = [x*0.3048,y*0.3048] # conversion to metric
[L1,p1,p2] = part.draw_line_to(x, y)
air_lines.append(L1)
part.draw_line_to(0, 0)
# view the points, lines, and areas
model.plot_geometry(model_name+'_geom', display=show_gui)
# set part material
mat = pyc.Material('concrete')
mat.set_mech_props(2300, 30000*(10**6), 0.2)
model.set_matl(mat, part)
# set the element type, line division, and mesh the database
model.set_eshape('quad', 2)
model.set_etype('plstrain', part, thickness)
model.set_ediv('L8',2)
# mesh with 1.0 or less fineness, smaller is finer
model.mesh(0.5, 'gmsh')
# plot the part elements
model.plot_elements(model_name+'_elem', display=show_gui)
# set loads and constraints, all loads at first are at Time = 0s
model.set_load('press', air_lines, press_atm)
model.set_fluid_press(water_lines, dens_water, grav, water_ht_m,
press_atm)
model.set_gravity(grav, part)
model.set_constr('fix', part.bottom, 'x')
model.set_constr('fix', part.bottom, 'y')
model.plot_pressures(model_name+'_press_1', display=show_gui)
model.plot_constraints(model_name+'_constr', display=show_gui)
# Time = 2s, ambient pressure and gravity
model.set_time(2.0)
model.set_load('press', water_lines+air_lines, press_atm)
model.plot_pressures(model_name+'_press_2', display=show_gui)
# Time = 3s, gravity only
model.set_time(3.0)
model.set_load('press', water_lines+air_lines, 0.0)
model.plot_pressures(model_name+'_press_3', display=show_gui)
# make model and solve it
prob = pyc.Problem(model, 'struct')
prob.solve()
# query results and store them
disp = False # turn off display plotting
fields = 'S1,S2,S3,Seqv,Sx,Sy' # store the fields to write
fields = fields.split(',')
# store max and min values so plots can have the same max and min
# over all times
max_val, min_val = {}, {}
for field in fields:
max_vals = [prob.rfile.get_emax(field, time) for time in prob.rfile.steps]
min_vals = [prob.rfile.get_emin(field, time) for time in prob.rfile.steps]
max_val[field] = max(max_vals)
min_val[field] = min(min_vals)
#store titles for each time point
titles= {1.0: 'gravity + air pressure + water pressure',
2.0: 'gravity + air pressure',
3.0: 'gravity only'}
# plot results
for time in prob.rfile.steps:
prob.rfile.set_time(time)
for field in fields:
fname = '%s_%s_%i' % (model_name, field, int(time))
vmax, vmin = max_val[field], min_val[field]
prob.rfile.eplot(field, fname, display=disp,
max_val=vmax, min_val=vmin, title=titles[time])