Note
Click here to download the full example code
Overview of the BendingTestAnalytical for load case ThreePoints¶
An analytical model for the bending of a parallelepipedic beam
from __future__ import annotations
from vimseo import EXAMPLE_RUNS_DIR
from vimseo.api import create_model
from vimseo.core.model_settings import IntegratedModelSettings
First, let's instantiate the model for a given load case:
model_name = "BendingTestAnalytical"
load_case = "ThreePoints"
model = create_model(
model_name,
load_case,
check_subprocess=True,
model_options=IntegratedModelSettings(
directory_archive_root=EXAMPLE_RUNS_DIR / "archive/model_gallery",
directory_scratch_root=EXAMPLE_RUNS_DIR / "scratch/model_gallery",
cache_file_path=EXAMPLE_RUNS_DIR
/ f"caches/model_gallery/{model_name}_{load_case}_cache.hdf",
),
)
The model description can be accessed like this:
print(model.description)
Out:
Model BendingTestAnalytical: An analytical model for the bending of a parallelepipedic beam
Load case:
Load case ThreePoints: A three-points load case.
Boundary condition variables:
['imposed_dplt', 'relative_support_location']
Plot parameters:
{
"curves": []
}
Load:
Load(direction='', sign='', type='')
Default values:
Default geometrical variables:
{"height": [40.0], "length": [600.0], "width": [30.0]}
Default numerical variables:
{}
Default boundary conditions variables:
{"imposed_dplt": [-5.0], "relative_support_location": [0.5]}
Default material variables:
{"nu_p": [0.3], "young_modulus": [210000.0]}
model_inputs:
[
"length",
"width",
"height",
"imposed_dplt",
"relative_support_location",
"young_modulus",
"nu_p"
]
model_outputs:
[
"reaction_forces",
"moment",
"moment_grid",
"dplt",
"dplt_grid",
"maximum_dplt",
"location_max_dplt",
"dplt_at_force_location",
"model",
"load_case",
"error_code",
"description",
"job_name",
"persistent_result_files",
"n_cpus",
"date",
"cpu_time",
"user",
"machine",
"vims_git_version",
"directory_archive_root",
"directory_archive_job",
"directory_scratch_root",
"directory_scratch_job"
]
An illustration of the load case:
model.show_image()
The model is executed with its default input values:
model.execute()
Out:
{'young_modulus': array([210000.]), 'nu_p': array([0.3]), 'length': array([600.]), 'width': array([30.]), 'height': array([40.]), 'imposed_dplt': array([-5.]), 'relative_support_location': array([0.5]), 'cpu_time': array([0.04526949]), 'date': array(['2025-11-05 22:19:54.654723'], dtype='<U26'), 'description': array([''], dtype='<U1'), 'directory_archive_job': array(['..\\model_runs\\archive\\model_gallery\\BendingTestAnalytical\\ThreePoints\\1'],
dtype='<U71'), 'directory_archive_root': array(['C:\\Users\\sebastien.bocquet\\PycharmProjects\\vims\\docs\\runnable_examples\\model_runs\\archive\\model_gallery'],
dtype='<U103'), 'directory_scratch_job': array([''], dtype='<U1'), 'directory_scratch_root': array(['C:\\Users\\sebastien.bocquet\\PycharmProjects\\vims\\docs\\runnable_examples\\model_runs\\scratch\\model_gallery'],
dtype='<U103'), 'dplt': array([ 0.00000000e+00, -1.51499692e-01, -3.02875712e-01, -4.54004384e-01,
-6.04762037e-01, -7.55024997e-01, -9.04669592e-01, -1.05357215e+00,
-1.20160899e+00, -1.34865645e+00, -1.49459084e+00, -1.63928851e+00,
-1.78262577e+00, -1.92447895e+00, -2.06472438e+00, -2.20323838e+00,
-2.33989729e+00, -2.47457742e+00, -2.60715511e+00, -2.73750669e+00,
-2.86550847e+00, -2.99103678e+00, -3.11396796e+00, -3.23417833e+00,
-3.35154421e+00, -3.46594194e+00, -3.57724784e+00, -3.68533823e+00,
-3.79008945e+00, -3.89137781e+00, -3.98907965e+00, -4.08307130e+00,
-4.17322908e+00, -4.25942931e+00, -4.34154833e+00, -4.41946245e+00,
-4.49304802e+00, -4.56218135e+00, -4.62673877e+00, -4.68659661e+00,
-4.74163119e+00, -4.79171884e+00, -4.83673589e+00, -4.87655867e+00,
-4.91106350e+00, -4.94012670e+00, -4.96362461e+00, -4.98143356e+00,
-4.99342986e+00, -4.99948985e+00, -4.99948985e+00, -4.99342986e+00,
-4.98143356e+00, -4.96362461e+00, -4.94012670e+00, -4.91106350e+00,
-4.87655867e+00, -4.83673589e+00, -4.79171884e+00, -4.74163119e+00,
-4.68659661e+00, -4.62673877e+00, -4.56218135e+00, -4.49304802e+00,
-4.41946245e+00, -4.34154833e+00, -4.25942931e+00, -4.17322908e+00,
-4.08307130e+00, -3.98907965e+00, -3.89137781e+00, -3.79008945e+00,
-3.68533823e+00, -3.57724784e+00, -3.46594194e+00, -3.35154421e+00,
-3.23417833e+00, -3.11396796e+00, -2.99103678e+00, -2.86550847e+00,
-2.73750669e+00, -2.60715511e+00, -2.47457742e+00, -2.33989729e+00,
-2.20323838e+00, -2.06472438e+00, -1.92447895e+00, -1.78262577e+00,
-1.63928851e+00, -1.49459084e+00, -1.34865645e+00, -1.20160899e+00,
-1.05357215e+00, -9.04669592e-01, -7.55024997e-01, -6.04762037e-01,
-4.54004384e-01, -3.02875712e-01, -1.51499692e-01, -1.55752418e-17]), 'dplt_at_force_location': array([-4.99948985]), 'dplt_grid': array([ 0. , 6.06060606, 12.12121212, 18.18181818,
24.24242424, 30.3030303 , 36.36363636, 42.42424242,
48.48484848, 54.54545455, 60.60606061, 66.66666667,
72.72727273, 78.78787879, 84.84848485, 90.90909091,
96.96969697, 103.03030303, 109.09090909, 115.15151515,
121.21212121, 127.27272727, 133.33333333, 139.39393939,
145.45454545, 151.51515152, 157.57575758, 163.63636364,
169.6969697 , 175.75757576, 181.81818182, 187.87878788,
193.93939394, 200. , 206.06060606, 212.12121212,
218.18181818, 224.24242424, 230.3030303 , 236.36363636,
242.42424242, 248.48484848, 254.54545455, 260.60606061,
266.66666667, 272.72727273, 278.78787879, 284.84848485,
290.90909091, 296.96969697, 303.03030303, 309.09090909,
315.15151515, 321.21212121, 327.27272727, 333.33333333,
339.39393939, 345.45454545, 351.51515152, 357.57575758,
363.63636364, 369.6969697 , 375.75757576, 381.81818182,
387.87878788, 393.93939394, 400. , 406.06060606,
412.12121212, 418.18181818, 424.24242424, 430.3030303 ,
436.36363636, 442.42424242, 448.48484848, 454.54545455,
460.60606061, 466.66666667, 472.72727273, 478.78787879,
484.84848485, 490.90909091, 496.96969697, 503.03030303,
509.09090909, 515.15151515, 521.21212121, 527.27272727,
533.33333333, 539.39393939, 545.45454545, 551.51515152,
557.57575758, 563.63636364, 569.6969697 , 575.75757576,
581.81818182, 587.87878788, 593.93939394, 600. ]), 'error_code': array([0]), 'job_name': array([''], dtype='<U1'), 'load_case': array(['ThreePoints'], dtype='<U11'), 'location_max_dplt': array([296.96969697]), 'machine': array(['B20191729'], dtype='<U9'), 'maximum_dplt': array([-4.99948985]), 'model': array(['BendingTestAnalytical'], dtype='<U21'), 'moment': array([ 0., -5600000., 0.]), 'moment_grid': array([ 0., 300., 600.]), 'n_cpus': array([1]), 'persistent_result_files': array([''], dtype='<U1'), 'reaction_forces': array([-37333.33333333]), 'user': array(['sebastien.bocquet'], dtype='<U17'), 'vims_git_version': array(['95990fa211debd91a91ffe1d89b2b0b4b855f387'], dtype='<U40')}
And the results are visualised with the pre-defined plots:
figures = model.plot_results(show=True)
Out:
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Plot of dplt_vs_dplt_grid
figures["dplt_vs_dplt_grid"]
Plot of moment_vs_moment_grid
figures["moment_vs_moment_grid"]
Total running time of the script: ( 0 minutes 0.255 seconds)
Download Python source code: plot_BendingTestAnalytical_ThreePoints.py
Download Jupyter notebook: plot_BendingTestAnalytical_ThreePoints.ipynb