Note
Go to the end to download the full example code.
Solve a 2D L-shape topology optimization problem#
from __future__ import annotations
from gemseo import configure_logger
from gemseo import create_scenario
from gemseo.problems.topology_optimization.topopt_initialize import (
initialize_design_space_and_discipline_to,
)
configure_logger()
<RootLogger root (INFO)>
Setup the topology optimization problem#
Define the target volume fraction:
volume_fraction = 0.3
Define the problem type:
problem_name = "L-Shape"
Define the number of elements in the x- and y- directions:
n_x = 25
n_y = 25
Define the full material Young's modulus and Poisson's ratio:
e0 = 1
nu = 0.3
Define the penalty of the SIMP approach:
penalty = 3
Define the minimum member size in the solution:
min_member_size = 1.5
Instantiate the DesignSpace and the disciplines:
design_space, disciplines = initialize_design_space_and_discipline_to(
problem=problem_name,
n_x=n_x,
n_y=n_y,
e0=e0,
nu=nu,
penalty=penalty,
min_member_size=min_member_size,
vf0=volume_fraction,
)
Solve the topology optimization problem#
Generate an MDOScenario:
scenario = create_scenario(
disciplines,
"compliance",
design_space,
formulation_name="DisciplinaryOpt",
)
Add the volume fraction constraint to the scenario:
scenario.add_constraint(
"volume fraction", constraint_type="ineq", value=volume_fraction
)
Generate the XDSM
scenario.xdsmize(save_html=False, pdf_build=False)
Execute the scenario
scenario.execute(algo_name="NLOPT_MMA", max_iter=200)
INFO - 08:38:32:
INFO - 08:38:32: *** Start MDOScenario execution ***
INFO - 08:38:32: MDOScenario
INFO - 08:38:32: Disciplines: DensityFilter FiniteElementAnalysis MaterialModelInterpolation VolumeFraction
INFO - 08:38:32: MDO formulation: DisciplinaryOpt
INFO - 08:38:32: Optimization problem:
INFO - 08:38:32: minimize compliance(x)
INFO - 08:38:32: with respect to x
INFO - 08:38:32: subject to constraints:
INFO - 08:38:32: volume fraction(x) <= 0.3
INFO - 08:38:32: Solving optimization problem with algorithm NLOPT_MMA:
INFO - 08:38:32: 1%| | 2/200 [00:00<00:05, 35.94 it/sec, obj=2.23e+3]
INFO - 08:38:32: 2%|▏ | 3/200 [00:00<00:04, 40.76 it/sec, obj=1.96e+3]
INFO - 08:38:32: 2%|▏ | 4/200 [00:00<00:04, 43.74 it/sec, obj=1.75e+3]
INFO - 08:38:32: 2%|▎ | 5/200 [00:00<00:04, 45.89 it/sec, obj=1.57e+3]
INFO - 08:38:32: 3%|▎ | 6/200 [00:00<00:04, 47.20 it/sec, obj=1.2e+3]
INFO - 08:38:32: 4%|▎ | 7/200 [00:00<00:04, 48.02 it/sec, obj=963]
INFO - 08:38:32: 4%|▍ | 8/200 [00:00<00:03, 48.71 it/sec, obj=624]
INFO - 08:38:32: 4%|▍ | 9/200 [00:00<00:03, 49.36 it/sec, obj=497]
INFO - 08:38:32: 5%|▌ | 10/200 [00:00<00:03, 49.80 it/sec, obj=395]
INFO - 08:38:32: 6%|▌ | 11/200 [00:00<00:03, 50.30 it/sec, obj=306]
INFO - 08:38:32: 6%|▌ | 12/200 [00:00<00:03, 50.74 it/sec, obj=251]
INFO - 08:38:32: 6%|▋ | 13/200 [00:00<00:03, 51.11 it/sec, obj=225]
INFO - 08:38:32: 7%|▋ | 14/200 [00:00<00:03, 51.51 it/sec, obj=209]
INFO - 08:38:32: 8%|▊ | 15/200 [00:00<00:03, 51.85 it/sec, obj=201]
INFO - 08:38:32: 8%|▊ | 16/200 [00:00<00:03, 52.18 it/sec, obj=195]
INFO - 08:38:32: 8%|▊ | 17/200 [00:00<00:03, 52.45 it/sec, obj=190]
INFO - 08:38:32: 9%|▉ | 18/200 [00:00<00:03, 52.70 it/sec, obj=186]
INFO - 08:38:32: 10%|▉ | 19/200 [00:00<00:03, 52.94 it/sec, obj=182]
INFO - 08:38:32: 10%|█ | 20/200 [00:00<00:03, 53.17 it/sec, obj=178]
INFO - 08:38:32: 10%|█ | 21/200 [00:00<00:03, 53.35 it/sec, obj=174]
INFO - 08:38:32: 11%|█ | 22/200 [00:00<00:03, 53.50 it/sec, obj=169]
INFO - 08:38:32: 12%|█▏ | 23/200 [00:00<00:03, 53.72 it/sec, obj=164]
INFO - 08:38:32: 12%|█▏ | 24/200 [00:00<00:03, 53.96 it/sec, obj=161]
INFO - 08:38:32: 12%|█▎ | 25/200 [00:00<00:03, 54.17 it/sec, obj=159]
INFO - 08:38:32: 13%|█▎ | 26/200 [00:00<00:03, 54.42 it/sec, obj=157]
INFO - 08:38:32: 14%|█▎ | 27/200 [00:00<00:03, 54.64 it/sec, obj=156]
INFO - 08:38:32: 14%|█▍ | 28/200 [00:00<00:03, 54.77 it/sec, obj=155]
INFO - 08:38:32: 14%|█▍ | 29/200 [00:00<00:03, 54.89 it/sec, obj=154]
INFO - 08:38:32: 15%|█▌ | 30/200 [00:00<00:03, 55.03 it/sec, obj=154]
INFO - 08:38:32: 16%|█▌ | 31/200 [00:00<00:03, 55.15 it/sec, obj=153]
INFO - 08:38:32: 16%|█▌ | 32/200 [00:00<00:03, 55.25 it/sec, obj=153]
INFO - 08:38:32: 16%|█▋ | 33/200 [00:00<00:03, 55.36 it/sec, obj=152]
INFO - 08:38:32: 17%|█▋ | 34/200 [00:00<00:02, 55.47 it/sec, obj=152]
INFO - 08:38:32: 18%|█▊ | 35/200 [00:00<00:02, 55.50 it/sec, obj=152]
INFO - 08:38:32: 18%|█▊ | 36/200 [00:00<00:02, 55.55 it/sec, obj=152]
INFO - 08:38:32: 18%|█▊ | 37/200 [00:00<00:02, 55.64 it/sec, obj=152]
INFO - 08:38:32: 19%|█▉ | 38/200 [00:00<00:02, 55.75 it/sec, obj=152]
INFO - 08:38:32: 20%|█▉ | 39/200 [00:00<00:02, 55.85 it/sec, obj=152]
INFO - 08:38:32: 20%|██ | 40/200 [00:00<00:02, 55.94 it/sec, obj=152]
INFO - 08:38:32: 20%|██ | 41/200 [00:00<00:02, 56.02 it/sec, obj=152]
INFO - 08:38:32: 21%|██ | 42/200 [00:00<00:02, 56.12 it/sec, obj=152]
INFO - 08:38:32: 22%|██▏ | 43/200 [00:00<00:02, 56.17 it/sec, obj=152]
INFO - 08:38:32: 22%|██▏ | 44/200 [00:00<00:02, 56.24 it/sec, obj=152]
INFO - 08:38:32: 22%|██▎ | 45/200 [00:00<00:02, 56.34 it/sec, obj=152]
INFO - 08:38:32: 23%|██▎ | 46/200 [00:00<00:02, 56.40 it/sec, obj=152]
INFO - 08:38:33: 24%|██▎ | 47/200 [00:00<00:02, 56.53 it/sec, obj=152]
INFO - 08:38:33: 24%|██▍ | 48/200 [00:00<00:02, 56.56 it/sec, obj=152]
INFO - 08:38:33: 24%|██▍ | 49/200 [00:00<00:02, 56.68 it/sec, obj=152]
INFO - 08:38:33: 25%|██▌ | 50/200 [00:00<00:02, 56.77 it/sec, obj=152]
INFO - 08:38:33: 26%|██▌ | 51/200 [00:00<00:02, 56.81 it/sec, obj=152]
INFO - 08:38:33: 26%|██▌ | 52/200 [00:00<00:02, 56.88 it/sec, obj=152]
INFO - 08:38:33: 26%|██▋ | 53/200 [00:00<00:02, 56.96 it/sec, obj=152]
INFO - 08:38:33: 27%|██▋ | 54/200 [00:00<00:02, 57.00 it/sec, obj=152]
INFO - 08:38:33: 28%|██▊ | 55/200 [00:00<00:02, 57.03 it/sec, obj=152]
INFO - 08:38:33: 28%|██▊ | 56/200 [00:00<00:02, 57.06 it/sec, obj=152]
INFO - 08:38:33: 28%|██▊ | 57/200 [00:00<00:02, 57.10 it/sec, obj=152]
INFO - 08:38:33: 29%|██▉ | 58/200 [00:01<00:02, 57.18 it/sec, obj=152]
INFO - 08:38:33: 30%|██▉ | 59/200 [00:01<00:02, 57.24 it/sec, obj=152]
INFO - 08:38:33: 30%|███ | 60/200 [00:01<00:02, 57.31 it/sec, obj=152]
INFO - 08:38:33: 30%|███ | 61/200 [00:01<00:02, 57.36 it/sec, obj=152]
INFO - 08:38:33: 31%|███ | 62/200 [00:01<00:02, 57.42 it/sec, obj=152]
INFO - 08:38:33: 32%|███▏ | 63/200 [00:01<00:02, 57.48 it/sec, obj=152]
INFO - 08:38:33: 32%|███▏ | 64/200 [00:01<00:02, 57.54 it/sec, obj=152]
INFO - 08:38:33: 32%|███▎ | 65/200 [00:01<00:02, 57.58 it/sec, obj=152]
INFO - 08:38:33: 33%|███▎ | 66/200 [00:01<00:02, 57.62 it/sec, obj=152]
INFO - 08:38:33: 34%|███▎ | 67/200 [00:01<00:02, 57.66 it/sec, obj=152]
INFO - 08:38:33: 34%|███▍ | 68/200 [00:01<00:02, 57.69 it/sec, obj=152]
INFO - 08:38:33: 34%|███▍ | 69/200 [00:01<00:02, 57.72 it/sec, obj=152]
INFO - 08:38:33: 35%|███▌ | 70/200 [00:01<00:02, 57.76 it/sec, obj=152]
INFO - 08:38:33: 36%|███▌ | 71/200 [00:01<00:02, 57.83 it/sec, obj=152]
INFO - 08:38:33: 36%|███▌ | 72/200 [00:01<00:02, 57.87 it/sec, obj=152]
INFO - 08:38:33: 36%|███▋ | 73/200 [00:01<00:02, 57.91 it/sec, obj=152]
INFO - 08:38:33: 37%|███▋ | 74/200 [00:01<00:02, 57.94 it/sec, obj=152]
INFO - 08:38:33: 38%|███▊ | 75/200 [00:01<00:02, 58.01 it/sec, obj=152]
INFO - 08:38:33: 38%|███▊ | 76/200 [00:01<00:02, 58.04 it/sec, obj=152]
INFO - 08:38:33: 38%|███▊ | 77/200 [00:01<00:02, 58.11 it/sec, obj=152]
INFO - 08:38:33: 39%|███▉ | 78/200 [00:01<00:02, 58.14 it/sec, obj=152]
INFO - 08:38:33: 40%|███▉ | 79/200 [00:01<00:02, 58.20 it/sec, obj=152]
INFO - 08:38:33: 40%|████ | 80/200 [00:01<00:02, 58.24 it/sec, obj=152]
INFO - 08:38:33: 40%|████ | 81/200 [00:01<00:02, 58.31 it/sec, obj=152]
INFO - 08:38:33: 41%|████ | 82/200 [00:01<00:02, 58.37 it/sec, obj=152]
INFO - 08:38:33: 42%|████▏ | 83/200 [00:01<00:02, 58.40 it/sec, obj=152]
INFO - 08:38:33: 42%|████▏ | 84/200 [00:01<00:01, 58.43 it/sec, obj=152]
INFO - 08:38:33: 42%|████▎ | 85/200 [00:01<00:01, 58.49 it/sec, obj=152]
INFO - 08:38:33: 43%|████▎ | 86/200 [00:01<00:01, 58.52 it/sec, obj=152]
INFO - 08:38:33: 44%|████▎ | 87/200 [00:01<00:01, 58.57 it/sec, obj=152]
INFO - 08:38:33: 44%|████▍ | 88/200 [00:01<00:01, 58.61 it/sec, obj=152]
INFO - 08:38:33: 44%|████▍ | 89/200 [00:01<00:01, 58.65 it/sec, obj=152]
INFO - 08:38:33: 45%|████▌ | 90/200 [00:01<00:01, 58.69 it/sec, obj=152]
INFO - 08:38:33: 46%|████▌ | 91/200 [00:01<00:01, 58.71 it/sec, obj=152]
INFO - 08:38:33: 46%|████▌ | 92/200 [00:01<00:01, 58.76 it/sec, obj=152]
INFO - 08:38:33: 46%|████▋ | 93/200 [00:01<00:01, 58.80 it/sec, obj=152]
INFO - 08:38:33: 47%|████▋ | 94/200 [00:01<00:01, 58.84 it/sec, obj=152]
INFO - 08:38:33: 48%|████▊ | 95/200 [00:01<00:01, 58.89 it/sec, obj=152]
INFO - 08:38:33: 48%|████▊ | 96/200 [00:01<00:01, 58.91 it/sec, obj=152]
INFO - 08:38:33: 48%|████▊ | 97/200 [00:01<00:01, 58.94 it/sec, obj=152]
INFO - 08:38:33: 49%|████▉ | 98/200 [00:01<00:01, 58.98 it/sec, obj=152]
INFO - 08:38:33: 50%|████▉ | 99/200 [00:01<00:01, 59.01 it/sec, obj=152]
INFO - 08:38:33: 50%|█████ | 100/200 [00:01<00:01, 59.05 it/sec, obj=152]
INFO - 08:38:33: 50%|█████ | 101/200 [00:01<00:01, 59.04 it/sec, obj=152]
INFO - 08:38:33: 51%|█████ | 102/200 [00:01<00:01, 59.07 it/sec, obj=152]
INFO - 08:38:33: 52%|█████▏ | 103/200 [00:01<00:01, 59.10 it/sec, obj=152]
INFO - 08:38:33: 52%|█████▏ | 104/200 [00:01<00:01, 59.13 it/sec, obj=152]
INFO - 08:38:33: 52%|█████▎ | 105/200 [00:01<00:01, 59.14 it/sec, obj=152]
INFO - 08:38:33: 53%|█████▎ | 106/200 [00:01<00:01, 59.17 it/sec, obj=152]
INFO - 08:38:33: 54%|█████▎ | 107/200 [00:01<00:01, 59.21 it/sec, obj=152]
INFO - 08:38:33: 54%|█████▍ | 108/200 [00:01<00:01, 59.22 it/sec, obj=152]
INFO - 08:38:34: 55%|█████▍ | 109/200 [00:01<00:01, 59.24 it/sec, obj=152]
INFO - 08:38:34: 55%|█████▌ | 110/200 [00:01<00:01, 59.27 it/sec, obj=152]
INFO - 08:38:34: 56%|█████▌ | 111/200 [00:01<00:01, 59.29 it/sec, obj=152]
INFO - 08:38:34: 56%|█████▌ | 112/200 [00:01<00:01, 59.32 it/sec, obj=152]
INFO - 08:38:34: 56%|█████▋ | 113/200 [00:01<00:01, 59.33 it/sec, obj=152]
INFO - 08:38:34: 57%|█████▋ | 114/200 [00:01<00:01, 59.35 it/sec, obj=152]
INFO - 08:38:34: 57%|█████▊ | 115/200 [00:01<00:01, 59.38 it/sec, obj=152]
INFO - 08:38:34: 58%|█████▊ | 116/200 [00:01<00:01, 59.40 it/sec, obj=152]
INFO - 08:38:34: 58%|█████▊ | 117/200 [00:01<00:01, 59.43 it/sec, obj=152]
INFO - 08:38:34: 59%|█████▉ | 118/200 [00:01<00:01, 59.46 it/sec, obj=152]
INFO - 08:38:34: 60%|█████▉ | 119/200 [00:02<00:01, 59.49 it/sec, obj=152]
INFO - 08:38:34: 60%|██████ | 120/200 [00:02<00:01, 59.52 it/sec, obj=152]
INFO - 08:38:34: 60%|██████ | 121/200 [00:02<00:01, 59.55 it/sec, obj=152]
INFO - 08:38:34: 61%|██████ | 122/200 [00:02<00:01, 59.57 it/sec, obj=152]
INFO - 08:38:34: 62%|██████▏ | 123/200 [00:02<00:01, 59.59 it/sec, obj=152]
INFO - 08:38:34: 62%|██████▏ | 124/200 [00:02<00:01, 59.61 it/sec, obj=152]
INFO - 08:38:34: 62%|██████▎ | 125/200 [00:02<00:01, 59.62 it/sec, obj=152]
INFO - 08:38:34: 63%|██████▎ | 126/200 [00:02<00:01, 59.64 it/sec, obj=152]
INFO - 08:38:34: 64%|██████▎ | 127/200 [00:02<00:01, 59.62 it/sec, obj=152]
INFO - 08:38:34: 64%|██████▍ | 128/200 [00:02<00:01, 59.64 it/sec, obj=152]
INFO - 08:38:34: 64%|██████▍ | 129/200 [00:02<00:01, 59.66 it/sec, obj=152]
INFO - 08:38:34: 65%|██████▌ | 130/200 [00:02<00:01, 59.65 it/sec, obj=152]
INFO - 08:38:34: 66%|██████▌ | 131/200 [00:02<00:01, 59.68 it/sec, obj=152]
INFO - 08:38:34: 66%|██████▌ | 132/200 [00:02<00:01, 59.70 it/sec, obj=152]
INFO - 08:38:34: 66%|██████▋ | 133/200 [00:02<00:01, 59.73 it/sec, obj=152]
INFO - 08:38:34: 67%|██████▋ | 134/200 [00:02<00:01, 59.76 it/sec, obj=152]
INFO - 08:38:34: 68%|██████▊ | 135/200 [00:02<00:01, 59.79 it/sec, obj=152]
INFO - 08:38:34: 68%|██████▊ | 136/200 [00:02<00:01, 59.81 it/sec, obj=152]
INFO - 08:38:34: 68%|██████▊ | 137/200 [00:02<00:01, 59.84 it/sec, obj=152]
INFO - 08:38:34: 69%|██████▉ | 138/200 [00:02<00:01, 59.86 it/sec, obj=152]
INFO - 08:38:34: 70%|██████▉ | 139/200 [00:02<00:01, 59.89 it/sec, obj=152]
INFO - 08:38:34: 70%|███████ | 140/200 [00:02<00:01, 59.91 it/sec, obj=152]
INFO - 08:38:34: 70%|███████ | 141/200 [00:02<00:00, 59.91 it/sec, obj=152]
INFO - 08:38:34: 71%|███████ | 142/200 [00:02<00:00, 59.94 it/sec, obj=152]
INFO - 08:38:34: 72%|███████▏ | 143/200 [00:02<00:00, 59.96 it/sec, obj=152]
INFO - 08:38:34: 72%|███████▏ | 144/200 [00:02<00:00, 59.98 it/sec, obj=152]
INFO - 08:38:34: 72%|███████▎ | 145/200 [00:02<00:00, 60.00 it/sec, obj=152]
INFO - 08:38:34: 73%|███████▎ | 146/200 [00:02<00:00, 60.02 it/sec, obj=152]
INFO - 08:38:34: 74%|███████▎ | 147/200 [00:02<00:00, 60.04 it/sec, obj=152]
INFO - 08:38:34: 74%|███████▍ | 148/200 [00:02<00:00, 60.06 it/sec, obj=152]
INFO - 08:38:34: 74%|███████▍ | 149/200 [00:02<00:00, 60.08 it/sec, obj=152]
INFO - 08:38:34: 75%|███████▌ | 150/200 [00:02<00:00, 60.11 it/sec, obj=152]
INFO - 08:38:34: 76%|███████▌ | 151/200 [00:02<00:00, 60.11 it/sec, obj=152]
INFO - 08:38:34: 76%|███████▌ | 152/200 [00:02<00:00, 60.12 it/sec, obj=152]
INFO - 08:38:34: 76%|███████▋ | 153/200 [00:02<00:00, 60.13 it/sec, obj=152]
INFO - 08:38:34: 77%|███████▋ | 154/200 [00:02<00:00, 60.15 it/sec, obj=152]
INFO - 08:38:34: 78%|███████▊ | 155/200 [00:02<00:00, 60.16 it/sec, obj=152]
INFO - 08:38:34: 78%|███████▊ | 156/200 [00:02<00:00, 60.18 it/sec, obj=152]
INFO - 08:38:34: 78%|███████▊ | 157/200 [00:02<00:00, 60.21 it/sec, obj=152]
INFO - 08:38:34: 79%|███████▉ | 158/200 [00:02<00:00, 60.23 it/sec, obj=152]
INFO - 08:38:34: 80%|███████▉ | 159/200 [00:02<00:00, 60.21 it/sec, obj=152]
INFO - 08:38:34: 80%|████████ | 160/200 [00:02<00:00, 60.23 it/sec, obj=152]
INFO - 08:38:34: 80%|████████ | 161/200 [00:02<00:00, 60.25 it/sec, obj=152]
INFO - 08:38:34: 81%|████████ | 162/200 [00:02<00:00, 60.27 it/sec, obj=152]
INFO - 08:38:34: 82%|████████▏ | 163/200 [00:02<00:00, 60.29 it/sec, obj=152]
INFO - 08:38:34: 82%|████████▏ | 164/200 [00:02<00:00, 60.30 it/sec, obj=152]
INFO - 08:38:34: 82%|████████▎ | 165/200 [00:02<00:00, 60.33 it/sec, obj=152]
INFO - 08:38:34: 83%|████████▎ | 166/200 [00:02<00:00, 60.36 it/sec, obj=152]
INFO - 08:38:34: 84%|████████▎ | 167/200 [00:02<00:00, 60.38 it/sec, obj=152]
INFO - 08:38:34: 84%|████████▍ | 168/200 [00:02<00:00, 60.41 it/sec, obj=152]
INFO - 08:38:34: 84%|████████▍ | 169/200 [00:02<00:00, 60.43 it/sec, obj=152]
INFO - 08:38:34: 85%|████████▌ | 170/200 [00:02<00:00, 60.45 it/sec, obj=152]
INFO - 08:38:34: 86%|████████▌ | 171/200 [00:02<00:00, 60.48 it/sec, obj=152]
INFO - 08:38:35: 86%|████████▌ | 172/200 [00:02<00:00, 60.50 it/sec, obj=152]
INFO - 08:38:35: 86%|████████▋ | 173/200 [00:02<00:00, 60.53 it/sec, obj=152]
INFO - 08:38:35: 87%|████████▋ | 174/200 [00:02<00:00, 60.56 it/sec, obj=152]
INFO - 08:38:35: 88%|████████▊ | 175/200 [00:02<00:00, 60.58 it/sec, obj=152]
INFO - 08:38:35: 88%|████████▊ | 176/200 [00:02<00:00, 60.59 it/sec, obj=152]
INFO - 08:38:35: 88%|████████▊ | 177/200 [00:02<00:00, 60.62 it/sec, obj=152]
INFO - 08:38:35: 89%|████████▉ | 178/200 [00:02<00:00, 60.65 it/sec, obj=152]
INFO - 08:38:35: 90%|████████▉ | 179/200 [00:02<00:00, 60.67 it/sec, obj=152]
INFO - 08:38:35: 90%|█████████ | 180/200 [00:02<00:00, 60.69 it/sec, obj=152]
INFO - 08:38:35: 90%|█████████ | 181/200 [00:02<00:00, 60.70 it/sec, obj=152]
INFO - 08:38:35: 91%|█████████ | 182/200 [00:02<00:00, 60.72 it/sec, obj=152]
INFO - 08:38:35: 92%|█████████▏| 183/200 [00:03<00:00, 60.75 it/sec, obj=152]
INFO - 08:38:35: 92%|█████████▏| 184/200 [00:03<00:00, 60.78 it/sec, obj=152]
INFO - 08:38:35: 92%|█████████▎| 185/200 [00:03<00:00, 60.80 it/sec, obj=152]
INFO - 08:38:35: 93%|█████████▎| 186/200 [00:03<00:00, 60.82 it/sec, obj=152]
INFO - 08:38:35: 94%|█████████▎| 187/200 [00:03<00:00, 60.84 it/sec, obj=152]
INFO - 08:38:35: 94%|█████████▍| 188/200 [00:03<00:00, 60.86 it/sec, obj=152]
INFO - 08:38:35: 94%|█████████▍| 189/200 [00:03<00:00, 60.88 it/sec, obj=152]
INFO - 08:38:35: 95%|█████████▌| 190/200 [00:03<00:00, 60.90 it/sec, obj=152]
INFO - 08:38:35: 96%|█████████▌| 191/200 [00:03<00:00, 60.91 it/sec, obj=152]
INFO - 08:38:35: 96%|█████████▌| 192/200 [00:03<00:00, 60.93 it/sec, obj=152]
INFO - 08:38:35: 96%|█████████▋| 193/200 [00:03<00:00, 60.94 it/sec, obj=152]
INFO - 08:38:35: 97%|█████████▋| 194/200 [00:03<00:00, 60.96 it/sec, obj=152]
INFO - 08:38:35: 98%|█████████▊| 195/200 [00:03<00:00, 60.97 it/sec, obj=152]
INFO - 08:38:35: 98%|█████████▊| 196/200 [00:03<00:00, 60.98 it/sec, obj=152]
INFO - 08:38:35: 98%|█████████▊| 197/200 [00:03<00:00, 60.99 it/sec, obj=152]
INFO - 08:38:35: 99%|█████████▉| 198/200 [00:03<00:00, 61.01 it/sec, obj=152]
INFO - 08:38:35: 100%|█████████▉| 199/200 [00:03<00:00, 61.02 it/sec, obj=152]
INFO - 08:38:35: 100%|██████████| 200/200 [00:03<00:00, 61.24 it/sec, obj=152]
INFO - 08:38:35: Optimization result:
INFO - 08:38:35: Optimizer info:
INFO - 08:38:35: Status: None
INFO - 08:38:35: Message: Maximum number of iterations reached. GEMSEO stopped the driver.
INFO - 08:38:35: Number of calls to the objective function by the optimizer: 201
INFO - 08:38:35: Solution:
INFO - 08:38:35: The solution is feasible.
INFO - 08:38:35: Objective: 151.62879172825782
INFO - 08:38:35: Standardized constraints:
INFO - 08:38:35: [volume fraction-0.3] = 1.0267592836510353e-06
INFO - 08:38:35: *** End MDOScenario execution (time: 0:00:03.270374) ***
Results#
Post-process the optimization history:
scenario.post_process(
post_name="BasicHistory", variable_names=["compliance"], show=True, save=False
)
/home/docs/checkouts/readthedocs.org/user_builds/gemseo/envs/stable/lib/python3.9/site-packages/gemseo/datasets/dataset.py:482: PerformanceWarning: DataFrame is highly fragmented. This is usually the result of calling `frame.insert` many times, which has poor performance. Consider joining all columns at once using pd.concat(axis=1) instead. To get a de-fragmented frame, use `newframe = frame.copy()`
self[columns] = value
<gemseo.post.basic_history.BasicHistory object at 0x7f24f449ec10>
Plot the solution
scenario.post_process(post_name="TopologyView", n_x=n_x, n_y=n_y, show=True, save=False)
<gemseo.post.topology_view.TopologyView object at 0x7f24f4372fd0>
Total running time of the script: (0 minutes 3.896 seconds)