Note
Go to the end to download the full example code.
Solve a 2D short cantilever topology optimization problem#
from __future__ import annotations
from gemseo import create_scenario
from gemseo.problems.topology_optimization.topopt_initialize import (
initialize_design_space_and_discipline_to,
)
Setup the topology optimization problem#
Define the target volume fraction:
volume_fraction = 0.3
Define the problem type:
problem_name = "Short_Cantilever"
Define the number of elements in the x- and y- directions:
n_x = 50
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)
Execute the scenario:
scenario.execute(algo_name="NLOPT_MMA", max_iter=200)
INFO - 16:12:14: *** Start MDOScenario execution ***
INFO - 16:12:14: MDOScenario
INFO - 16:12:14: Disciplines: DensityFilter FiniteElementAnalysis MaterialModelInterpolation VolumeFraction
INFO - 16:12:14: MDO formulation: DisciplinaryOpt
INFO - 16:12:14: Optimization problem:
INFO - 16:12:14: minimize compliance(x)
INFO - 16:12:14: with respect to x
INFO - 16:12:14: under the inequality constraints
INFO - 16:12:14: volume fraction(x) <= 0.3
INFO - 16:12:14: Solving optimization problem with algorithm NLOPT_MMA:
INFO - 16:12:14: 1%| | 2/200 [00:00<00:04, 41.31 it/sec, feas=True, obj=1.46e+3]
INFO - 16:12:14: 2%|▏ | 3/200 [00:00<00:04, 45.40 it/sec, feas=True, obj=1.45e+3]
INFO - 16:12:14: 2%|▏ | 4/200 [00:00<00:04, 47.89 it/sec, feas=True, obj=1.45e+3]
INFO - 16:12:14: 2%|▎ | 5/200 [00:00<00:03, 49.10 it/sec, feas=True, obj=1.45e+3]
INFO - 16:12:14: 3%|▎ | 6/200 [00:00<00:03, 50.11 it/sec, feas=True, obj=1.43e+3]
INFO - 16:12:14: 4%|▎ | 7/200 [00:00<00:03, 51.08 it/sec, feas=True, obj=1.4e+3]
INFO - 16:12:14: 4%|▍ | 8/200 [00:00<00:03, 51.62 it/sec, feas=True, obj=1.36e+3]
INFO - 16:12:14: 4%|▍ | 9/200 [00:00<00:03, 51.82 it/sec, feas=True, obj=1.2e+3]
INFO - 16:12:14: 5%|▌ | 10/200 [00:00<00:03, 52.18 it/sec, feas=True, obj=1.01e+3]
INFO - 16:12:14: 6%|▌ | 11/200 [00:00<00:03, 52.37 it/sec, feas=True, obj=756]
INFO - 16:12:14: 6%|▌ | 12/200 [00:00<00:03, 52.75 it/sec, feas=True, obj=573]
INFO - 16:12:14: 6%|▋ | 13/200 [00:00<00:03, 53.27 it/sec, feas=True, obj=509]
INFO - 16:12:14: 7%|▋ | 14/200 [00:00<00:03, 53.71 it/sec, feas=True, obj=448]
INFO - 16:12:14: 8%|▊ | 15/200 [00:00<00:03, 54.03 it/sec, feas=True, obj=399]
INFO - 16:12:14: 8%|▊ | 16/200 [00:00<00:03, 54.28 it/sec, feas=True, obj=360]
INFO - 16:12:14: 8%|▊ | 17/200 [00:00<00:03, 54.44 it/sec, feas=True, obj=329]
INFO - 16:12:14: 9%|▉ | 18/200 [00:00<00:03, 54.55 it/sec, feas=True, obj=304]
INFO - 16:12:14: 10%|▉ | 19/200 [00:00<00:03, 54.93 it/sec, feas=True, obj=278]
INFO - 16:12:14: 10%|█ | 20/200 [00:00<00:03, 55.16 it/sec, feas=True, obj=251]
INFO - 16:12:14: 10%|█ | 21/200 [00:00<00:03, 55.56 it/sec, feas=True, obj=231]
INFO - 16:12:14: 11%|█ | 22/200 [00:00<00:03, 55.78 it/sec, feas=True, obj=213]
INFO - 16:12:14: 12%|█▏ | 23/200 [00:00<00:03, 55.98 it/sec, feas=True, obj=193]
INFO - 16:12:14: 12%|█▏ | 24/200 [00:00<00:03, 56.19 it/sec, feas=True, obj=175]
INFO - 16:12:14: 12%|█▎ | 25/200 [00:00<00:03, 56.37 it/sec, feas=True, obj=161]
INFO - 16:12:14: 13%|█▎ | 26/200 [00:00<00:03, 56.57 it/sec, feas=True, obj=153]
INFO - 16:12:14: 14%|█▎ | 27/200 [00:00<00:03, 56.84 it/sec, feas=True, obj=148]
INFO - 16:12:14: 14%|█▍ | 28/200 [00:00<00:03, 57.09 it/sec, feas=True, obj=145]
INFO - 16:12:14: 14%|█▍ | 29/200 [00:00<00:02, 57.39 it/sec, feas=True, obj=143]
INFO - 16:12:14: 15%|█▌ | 30/200 [00:00<00:02, 57.71 it/sec, feas=True, obj=142]
INFO - 16:12:14: 16%|█▌ | 31/200 [00:00<00:02, 57.99 it/sec, feas=True, obj=141]
INFO - 16:12:14: 16%|█▌ | 32/200 [00:00<00:02, 58.27 it/sec, feas=True, obj=140]
INFO - 16:12:14: 16%|█▋ | 33/200 [00:00<00:02, 58.54 it/sec, feas=True, obj=140]
INFO - 16:12:14: 17%|█▋ | 34/200 [00:00<00:02, 58.78 it/sec, feas=True, obj=140]
INFO - 16:12:14: 18%|█▊ | 35/200 [00:00<00:02, 59.07 it/sec, feas=True, obj=139]
INFO - 16:12:15: 18%|█▊ | 36/200 [00:00<00:02, 59.33 it/sec, feas=True, obj=139]
INFO - 16:12:15: 18%|█▊ | 37/200 [00:00<00:02, 59.58 it/sec, feas=True, obj=139]
INFO - 16:12:15: 19%|█▉ | 38/200 [00:00<00:02, 59.77 it/sec, feas=True, obj=139]
INFO - 16:12:15: 20%|█▉ | 39/200 [00:00<00:02, 59.99 it/sec, feas=True, obj=139]
INFO - 16:12:15: 20%|██ | 40/200 [00:00<00:02, 60.16 it/sec, feas=True, obj=139]
INFO - 16:12:15: 20%|██ | 41/200 [00:00<00:02, 60.38 it/sec, feas=True, obj=139]
INFO - 16:12:15: 21%|██ | 42/200 [00:00<00:02, 60.56 it/sec, feas=True, obj=138]
INFO - 16:12:15: 22%|██▏ | 43/200 [00:00<00:02, 60.76 it/sec, feas=True, obj=138]
INFO - 16:12:15: 22%|██▏ | 44/200 [00:00<00:02, 60.93 it/sec, feas=True, obj=138]
INFO - 16:12:15: 22%|██▎ | 45/200 [00:00<00:02, 61.12 it/sec, feas=True, obj=138]
INFO - 16:12:15: 23%|██▎ | 46/200 [00:00<00:02, 61.24 it/sec, feas=True, obj=138]
INFO - 16:12:15: 24%|██▎ | 47/200 [00:00<00:02, 61.37 it/sec, feas=True, obj=138]
INFO - 16:12:15: 24%|██▍ | 48/200 [00:00<00:02, 61.51 it/sec, feas=True, obj=138]
INFO - 16:12:15: 24%|██▍ | 49/200 [00:00<00:02, 61.64 it/sec, feas=True, obj=138]
INFO - 16:12:15: 25%|██▌ | 50/200 [00:00<00:02, 61.71 it/sec, feas=True, obj=138]
INFO - 16:12:15: 26%|██▌ | 51/200 [00:00<00:02, 61.86 it/sec, feas=True, obj=138]
INFO - 16:12:15: 26%|██▌ | 52/200 [00:00<00:02, 61.98 it/sec, feas=True, obj=138]
INFO - 16:12:15: 26%|██▋ | 53/200 [00:00<00:02, 62.09 it/sec, feas=True, obj=138]
INFO - 16:12:15: 27%|██▋ | 54/200 [00:00<00:02, 62.20 it/sec, feas=True, obj=137]
INFO - 16:12:15: 28%|██▊ | 55/200 [00:00<00:02, 62.32 it/sec, feas=True, obj=137]
INFO - 16:12:15: 28%|██▊ | 56/200 [00:00<00:02, 62.44 it/sec, feas=True, obj=137]
INFO - 16:12:15: 28%|██▊ | 57/200 [00:00<00:02, 62.57 it/sec, feas=True, obj=137]
INFO - 16:12:15: 29%|██▉ | 58/200 [00:00<00:02, 62.67 it/sec, feas=True, obj=137]
INFO - 16:12:15: 30%|██▉ | 59/200 [00:00<00:02, 62.75 it/sec, feas=True, obj=137]
INFO - 16:12:15: 30%|███ | 60/200 [00:00<00:02, 62.85 it/sec, feas=True, obj=137]
INFO - 16:12:15: 30%|███ | 61/200 [00:00<00:02, 62.94 it/sec, feas=True, obj=137]
INFO - 16:12:15: 31%|███ | 62/200 [00:00<00:02, 63.01 it/sec, feas=True, obj=137]
INFO - 16:12:15: 32%|███▏ | 63/200 [00:00<00:02, 63.09 it/sec, feas=True, obj=137]
INFO - 16:12:15: 32%|███▏ | 64/200 [00:01<00:02, 63.17 it/sec, feas=True, obj=137]
INFO - 16:12:15: 32%|███▎ | 65/200 [00:01<00:02, 63.25 it/sec, feas=True, obj=137]
INFO - 16:12:15: 33%|███▎ | 66/200 [00:01<00:02, 63.32 it/sec, feas=True, obj=137]
INFO - 16:12:15: 34%|███▎ | 67/200 [00:01<00:02, 63.48 it/sec, feas=True, obj=137]
INFO - 16:12:15: 34%|███▍ | 68/200 [00:01<00:02, 63.55 it/sec, feas=True, obj=137]
INFO - 16:12:15: 34%|███▍ | 69/200 [00:01<00:02, 63.61 it/sec, feas=True, obj=137]
INFO - 16:12:15: 35%|███▌ | 70/200 [00:01<00:02, 63.67 it/sec, feas=True, obj=137]
INFO - 16:12:15: 36%|███▌ | 71/200 [00:01<00:02, 63.74 it/sec, feas=True, obj=137]
INFO - 16:12:15: 36%|███▌ | 72/200 [00:01<00:02, 63.83 it/sec, feas=True, obj=137]
INFO - 16:12:15: 36%|███▋ | 73/200 [00:01<00:01, 63.90 it/sec, feas=True, obj=137]
INFO - 16:12:15: 37%|███▋ | 74/200 [00:01<00:01, 63.97 it/sec, feas=True, obj=137]
INFO - 16:12:15: 38%|███▊ | 75/200 [00:01<00:01, 64.04 it/sec, feas=True, obj=137]
INFO - 16:12:15: 38%|███▊ | 76/200 [00:01<00:01, 64.12 it/sec, feas=True, obj=137]
INFO - 16:12:15: 38%|███▊ | 77/200 [00:01<00:01, 64.15 it/sec, feas=True, obj=137]
INFO - 16:12:15: 39%|███▉ | 78/200 [00:01<00:01, 64.22 it/sec, feas=True, obj=137]
INFO - 16:12:15: 40%|███▉ | 79/200 [00:01<00:01, 64.26 it/sec, feas=True, obj=137]
INFO - 16:12:15: 40%|████ | 80/200 [00:01<00:01, 64.29 it/sec, feas=True, obj=137]
INFO - 16:12:15: 40%|████ | 81/200 [00:01<00:01, 64.34 it/sec, feas=True, obj=137]
INFO - 16:12:15: 41%|████ | 82/200 [00:01<00:01, 64.39 it/sec, feas=True, obj=137]
INFO - 16:12:15: 42%|████▏ | 83/200 [00:01<00:01, 64.45 it/sec, feas=True, obj=137]
INFO - 16:12:15: 42%|████▏ | 84/200 [00:01<00:01, 64.49 it/sec, feas=True, obj=137]
INFO - 16:12:15: 42%|████▎ | 85/200 [00:01<00:01, 64.53 it/sec, feas=True, obj=137]
INFO - 16:12:15: 43%|████▎ | 86/200 [00:01<00:01, 64.57 it/sec, feas=True, obj=137]
INFO - 16:12:15: 44%|████▎ | 87/200 [00:01<00:01, 64.63 it/sec, feas=True, obj=137]
INFO - 16:12:15: 44%|████▍ | 88/200 [00:01<00:01, 64.69 it/sec, feas=True, obj=137]
INFO - 16:12:15: 44%|████▍ | 89/200 [00:01<00:01, 64.75 it/sec, feas=True, obj=137]
INFO - 16:12:15: 45%|████▌ | 90/200 [00:01<00:01, 64.81 it/sec, feas=True, obj=137]
INFO - 16:12:15: 46%|████▌ | 91/200 [00:01<00:01, 64.85 it/sec, feas=True, obj=137]
INFO - 16:12:15: 46%|████▌ | 92/200 [00:01<00:01, 64.91 it/sec, feas=True, obj=137]
INFO - 16:12:15: 46%|████▋ | 93/200 [00:01<00:01, 64.97 it/sec, feas=True, obj=137]
INFO - 16:12:15: 47%|████▋ | 94/200 [00:01<00:01, 65.01 it/sec, feas=True, obj=137]
INFO - 16:12:15: 48%|████▊ | 95/200 [00:01<00:01, 65.04 it/sec, feas=True, obj=137]
INFO - 16:12:15: 48%|████▊ | 96/200 [00:01<00:01, 65.08 it/sec, feas=True, obj=137]
INFO - 16:12:15: 48%|████▊ | 97/200 [00:01<00:01, 65.17 it/sec, feas=True, obj=137]
INFO - 16:12:15: 49%|████▉ | 98/200 [00:01<00:01, 65.22 it/sec, feas=True, obj=137]
INFO - 16:12:15: 50%|████▉ | 99/200 [00:01<00:01, 65.26 it/sec, feas=True, obj=137]
INFO - 16:12:15: 50%|█████ | 100/200 [00:01<00:01, 65.31 it/sec, feas=True, obj=137]
INFO - 16:12:15: 50%|█████ | 101/200 [00:01<00:01, 65.34 it/sec, feas=True, obj=137]
INFO - 16:12:15: 51%|█████ | 102/200 [00:01<00:01, 65.39 it/sec, feas=True, obj=137]
INFO - 16:12:15: 52%|█████▏ | 103/200 [00:01<00:01, 65.44 it/sec, feas=True, obj=137]
INFO - 16:12:15: 52%|█████▏ | 104/200 [00:01<00:01, 65.48 it/sec, feas=True, obj=137]
INFO - 16:12:15: 52%|█████▎ | 105/200 [00:01<00:01, 65.51 it/sec, feas=True, obj=137]
INFO - 16:12:16: 53%|█████▎ | 106/200 [00:01<00:01, 65.54 it/sec, feas=True, obj=137]
INFO - 16:12:16: 54%|█████▎ | 107/200 [00:01<00:01, 65.57 it/sec, feas=True, obj=137]
INFO - 16:12:16: 54%|█████▍ | 108/200 [00:01<00:01, 65.61 it/sec, feas=True, obj=137]
INFO - 16:12:16: 55%|█████▍ | 109/200 [00:01<00:01, 65.63 it/sec, feas=True, obj=137]
INFO - 16:12:16: 55%|█████▌ | 110/200 [00:01<00:01, 65.63 it/sec, feas=True, obj=137]
INFO - 16:12:16: 56%|█████▌ | 111/200 [00:01<00:01, 65.68 it/sec, feas=True, obj=137]
INFO - 16:12:16: 56%|█████▌ | 112/200 [00:01<00:01, 65.75 it/sec, feas=True, obj=137]
INFO - 16:12:16: 56%|█████▋ | 113/200 [00:01<00:01, 65.78 it/sec, feas=True, obj=137]
INFO - 16:12:16: 57%|█████▋ | 114/200 [00:01<00:01, 65.82 it/sec, feas=True, obj=137]
INFO - 16:12:16: 57%|█████▊ | 115/200 [00:01<00:01, 65.85 it/sec, feas=True, obj=137]
INFO - 16:12:16: 58%|█████▊ | 116/200 [00:01<00:01, 65.87 it/sec, feas=True, obj=137]
INFO - 16:12:16: 58%|█████▊ | 117/200 [00:01<00:01, 65.91 it/sec, feas=True, obj=137]
INFO - 16:12:16: 59%|█████▉ | 118/200 [00:01<00:01, 65.94 it/sec, feas=True, obj=137]
INFO - 16:12:16: 60%|█████▉ | 119/200 [00:01<00:01, 65.97 it/sec, feas=True, obj=137]
INFO - 16:12:16: 60%|██████ | 120/200 [00:01<00:01, 65.99 it/sec, feas=True, obj=137]
INFO - 16:12:16: 60%|██████ | 121/200 [00:01<00:01, 66.02 it/sec, feas=True, obj=137]
INFO - 16:12:16: 61%|██████ | 122/200 [00:01<00:01, 66.03 it/sec, feas=True, obj=137]
INFO - 16:12:16: 62%|██████▏ | 123/200 [00:01<00:01, 66.05 it/sec, feas=True, obj=137]
INFO - 16:12:16: 62%|██████▏ | 124/200 [00:01<00:01, 66.08 it/sec, feas=True, obj=137]
INFO - 16:12:16: 62%|██████▎ | 125/200 [00:01<00:01, 66.10 it/sec, feas=True, obj=137]
INFO - 16:12:16: 63%|██████▎ | 126/200 [00:01<00:01, 66.12 it/sec, feas=True, obj=137]
INFO - 16:12:16: 64%|██████▎ | 127/200 [00:01<00:01, 66.13 it/sec, feas=True, obj=137]
INFO - 16:12:16: 64%|██████▍ | 128/200 [00:01<00:01, 66.18 it/sec, feas=True, obj=137]
INFO - 16:12:16: 64%|██████▍ | 129/200 [00:01<00:01, 66.24 it/sec, feas=True, obj=137]
INFO - 16:12:16: 65%|██████▌ | 130/200 [00:01<00:01, 66.26 it/sec, feas=True, obj=137]
INFO - 16:12:16: 66%|██████▌ | 131/200 [00:01<00:01, 66.28 it/sec, feas=True, obj=137]
INFO - 16:12:16: 66%|██████▌ | 132/200 [00:01<00:01, 66.30 it/sec, feas=True, obj=137]
INFO - 16:12:16: 66%|██████▋ | 133/200 [00:02<00:01, 66.32 it/sec, feas=True, obj=137]
INFO - 16:12:16: 67%|██████▋ | 134/200 [00:02<00:00, 66.35 it/sec, feas=True, obj=137]
INFO - 16:12:16: 68%|██████▊ | 135/200 [00:02<00:00, 66.37 it/sec, feas=True, obj=137]
INFO - 16:12:16: 68%|██████▊ | 136/200 [00:02<00:00, 66.38 it/sec, feas=True, obj=137]
INFO - 16:12:16: 68%|██████▊ | 137/200 [00:02<00:00, 66.40 it/sec, feas=True, obj=137]
INFO - 16:12:16: 69%|██████▉ | 138/200 [00:02<00:00, 66.43 it/sec, feas=True, obj=137]
INFO - 16:12:16: 70%|██████▉ | 139/200 [00:02<00:00, 66.45 it/sec, feas=True, obj=137]
INFO - 16:12:16: 70%|███████ | 140/200 [00:02<00:00, 66.47 it/sec, feas=True, obj=137]
INFO - 16:12:16: 70%|███████ | 141/200 [00:02<00:00, 66.49 it/sec, feas=True, obj=137]
INFO - 16:12:16: 71%|███████ | 142/200 [00:02<00:00, 66.49 it/sec, feas=True, obj=137]
INFO - 16:12:16: 72%|███████▏ | 143/200 [00:02<00:00, 66.52 it/sec, feas=True, obj=137]
INFO - 16:12:16: 72%|███████▏ | 144/200 [00:02<00:00, 66.54 it/sec, feas=True, obj=137]
INFO - 16:12:16: 72%|███████▎ | 145/200 [00:02<00:00, 66.59 it/sec, feas=True, obj=137]
INFO - 16:12:16: 73%|███████▎ | 146/200 [00:02<00:00, 66.61 it/sec, feas=True, obj=137]
INFO - 16:12:16: 74%|███████▎ | 147/200 [00:02<00:00, 66.63 it/sec, feas=True, obj=137]
INFO - 16:12:16: 74%|███████▍ | 148/200 [00:02<00:00, 66.65 it/sec, feas=True, obj=137]
INFO - 16:12:16: 74%|███████▍ | 149/200 [00:02<00:00, 66.67 it/sec, feas=True, obj=137]
INFO - 16:12:16: 75%|███████▌ | 150/200 [00:02<00:00, 66.69 it/sec, feas=True, obj=137]
INFO - 16:12:16: 76%|███████▌ | 151/200 [00:02<00:00, 66.72 it/sec, feas=True, obj=137]
INFO - 16:12:16: 76%|███████▌ | 152/200 [00:02<00:00, 66.73 it/sec, feas=True, obj=137]
INFO - 16:12:16: 76%|███████▋ | 153/200 [00:02<00:00, 66.75 it/sec, feas=True, obj=137]
INFO - 16:12:16: 77%|███████▋ | 154/200 [00:02<00:00, 66.76 it/sec, feas=True, obj=137]
INFO - 16:12:16: 78%|███████▊ | 155/200 [00:02<00:00, 66.78 it/sec, feas=True, obj=137]
INFO - 16:12:16: 78%|███████▊ | 156/200 [00:02<00:00, 66.79 it/sec, feas=True, obj=137]
INFO - 16:12:16: 78%|███████▊ | 157/200 [00:02<00:00, 66.81 it/sec, feas=True, obj=137]
INFO - 16:12:16: 79%|███████▉ | 158/200 [00:02<00:00, 66.81 it/sec, feas=True, obj=137]
INFO - 16:12:16: 80%|███████▉ | 159/200 [00:02<00:00, 66.86 it/sec, feas=True, obj=137]
INFO - 16:12:16: 80%|████████ | 160/200 [00:02<00:00, 66.91 it/sec, feas=True, obj=137]
INFO - 16:12:16: 80%|████████ | 161/200 [00:02<00:00, 66.95 it/sec, feas=True, obj=137]
INFO - 16:12:16: 81%|████████ | 162/200 [00:02<00:00, 67.00 it/sec, feas=True, obj=137]
INFO - 16:12:16: 82%|████████▏ | 163/200 [00:02<00:00, 67.01 it/sec, feas=True, obj=137]
INFO - 16:12:16: 82%|████████▏ | 164/200 [00:02<00:00, 67.02 it/sec, feas=True, obj=137]
INFO - 16:12:16: 82%|████████▎ | 165/200 [00:02<00:00, 67.04 it/sec, feas=True, obj=137]
INFO - 16:12:16: 83%|████████▎ | 166/200 [00:02<00:00, 67.06 it/sec, feas=True, obj=137]
INFO - 16:12:16: 84%|████████▎ | 167/200 [00:02<00:00, 67.07 it/sec, feas=True, obj=137]
INFO - 16:12:16: 84%|████████▍ | 168/200 [00:02<00:00, 67.08 it/sec, feas=True, obj=137]
INFO - 16:12:16: 84%|████████▍ | 169/200 [00:02<00:00, 67.09 it/sec, feas=True, obj=137]
INFO - 16:12:16: 85%|████████▌ | 170/200 [00:02<00:00, 67.12 it/sec, feas=True, obj=137]
INFO - 16:12:16: 86%|████████▌ | 171/200 [00:02<00:00, 67.12 it/sec, feas=True, obj=137]
INFO - 16:12:16: 86%|████████▌ | 172/200 [00:02<00:00, 67.14 it/sec, feas=True, obj=137]
INFO - 16:12:16: 86%|████████▋ | 173/200 [00:02<00:00, 67.15 it/sec, feas=True, obj=137]
INFO - 16:12:16: 87%|████████▋ | 174/200 [00:02<00:00, 67.16 it/sec, feas=True, obj=137]
INFO - 16:12:17: 88%|████████▊ | 175/200 [00:02<00:00, 67.17 it/sec, feas=True, obj=137]
INFO - 16:12:17: 88%|████████▊ | 176/200 [00:02<00:00, 67.19 it/sec, feas=True, obj=137]
INFO - 16:12:17: 88%|████████▊ | 177/200 [00:02<00:00, 67.22 it/sec, feas=True, obj=137]
INFO - 16:12:17: 89%|████████▉ | 178/200 [00:02<00:00, 67.26 it/sec, feas=True, obj=137]
INFO - 16:12:17: 90%|████████▉ | 179/200 [00:02<00:00, 67.31 it/sec, feas=True, obj=137]
INFO - 16:12:17: 90%|█████████ | 180/200 [00:02<00:00, 67.32 it/sec, feas=True, obj=137]
INFO - 16:12:17: 90%|█████████ | 181/200 [00:02<00:00, 67.33 it/sec, feas=True, obj=137]
INFO - 16:12:17: 91%|█████████ | 182/200 [00:02<00:00, 67.35 it/sec, feas=True, obj=137]
INFO - 16:12:17: 92%|█████████▏| 183/200 [00:02<00:00, 67.36 it/sec, feas=True, obj=137]
INFO - 16:12:17: 92%|█████████▏| 184/200 [00:02<00:00, 67.38 it/sec, feas=True, obj=137]
INFO - 16:12:17: 92%|█████████▎| 185/200 [00:02<00:00, 67.39 it/sec, feas=True, obj=137]
INFO - 16:12:17: 93%|█████████▎| 186/200 [00:02<00:00, 67.41 it/sec, feas=True, obj=137]
INFO - 16:12:17: 94%|█████████▎| 187/200 [00:02<00:00, 67.43 it/sec, feas=True, obj=137]
INFO - 16:12:17: 94%|█████████▍| 188/200 [00:02<00:00, 67.44 it/sec, feas=True, obj=137]
INFO - 16:12:17: 94%|█████████▍| 189/200 [00:02<00:00, 67.46 it/sec, feas=True, obj=137]
INFO - 16:12:17: 95%|█████████▌| 190/200 [00:02<00:00, 67.47 it/sec, feas=True, obj=137]
INFO - 16:12:17: 96%|█████████▌| 191/200 [00:02<00:00, 67.49 it/sec, feas=True, obj=137]
INFO - 16:12:17: 96%|█████████▌| 192/200 [00:02<00:00, 67.50 it/sec, feas=True, obj=137]
INFO - 16:12:17: 96%|█████████▋| 193/200 [00:02<00:00, 67.52 it/sec, feas=True, obj=137]
INFO - 16:12:17: 97%|█████████▋| 194/200 [00:02<00:00, 67.54 it/sec, feas=True, obj=137]
INFO - 16:12:17: 98%|█████████▊| 195/200 [00:02<00:00, 67.55 it/sec, feas=True, obj=137]
INFO - 16:12:17: 98%|█████████▊| 196/200 [00:02<00:00, 67.59 it/sec, feas=True, obj=137]
INFO - 16:12:17: Optimization result:
INFO - 16:12:17: Optimizer info:
INFO - 16:12:17: Status: None
INFO - 16:12:17: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
INFO - 16:12:17: Solution:
INFO - 16:12:17: The solution is feasible.
INFO - 16:12:17: Objective: 136.5612552177233
INFO - 16:12:17: Standardized constraints:
INFO - 16:12:17: [volume fraction-0.3] = -6.272737218537827e-09
INFO - 16:12:17: *** End MDOScenario execution ***
Results#
Post-process the optimization history:
scenario.post_process(
post_name="BasicHistory", variable_names=["compliance"], show=True, save=False
)
<gemseo.post.basic_history.BasicHistory object at 0x7c4bce5973b0>
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 0x7c4bcf409700>
Total running time of the script: (0 minutes 3.746 seconds)