Note
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Usage of the model calibration for several load cases in the same step¶
Calibrate a model with coupling several load cases in a step.
from __future__ import annotations
import logging
from gemseo.algos.opt.nlopt.settings.nlopt_cobyla_settings import NLOPT_COBYLA_Settings
from gemseo_calibration.calibrator import CalibrationMetricSettings
from numpy import atleast_1d
from vimseo import EXAMPLE_RUNS_DIR
from vimseo.api import activate_logger
from vimseo.api import create_model
from vimseo.core.model_settings import IntegratedModelSettings
from vimseo.io.space_io import SpaceToolFileIO
from vimseo.storage_management.base_storage_manager import PersistencyPolicy
from vimseo.tools.calibration.calibration_step import CalibrationStep
from vimseo.tools.calibration.calibration_step import CalibrationStepInputs
from vimseo.tools.calibration.calibration_step import CalibrationStepSettings
from vimseo.tools.calibration.input_data import CALIBRATION_INPUT_DATA
from vimseo.utilities.generate_validation_reference import (
generate_reference_from_parameter_space,
)
We first define the logger level:
activate_logger(level=logging.INFO)
We suppose that we want to calibrate a Hook's law homogeneous elastic isotropic material from reference data on a beam for two load cases: - cantilever bending - three point bending We now generate the reference data from the model used for the calibration. We define an input space in which the reference data are generated:
space_tool_result = SpaceToolFileIO().read(
CALIBRATION_INPUT_DATA / "experimental_space_beam_cantilever.json"
)
Out:
/home/sebastien.bocquet/PycharmProjects/vimseo/.tox/doc/lib/python3.11/site-packages/pydantic/main.py:209: DeprecationWarning:
Conversion of an array with ndim > 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
And we define a target Young modulus for the cantilever load case and the associated model:
model_name = "BendingTestAnalytical"
target_model_cantilever = create_model(
model_name,
"Cantilever",
model_options=IntegratedModelSettings(
directory_archive_persistency=PersistencyPolicy.DELETE_ALWAYS,
directory_scratch_persistency=PersistencyPolicy.DELETE_ALWAYS,
directory_archive_root=EXAMPLE_RUNS_DIR / "archive/coupled_load",
directory_scratch_root=EXAMPLE_RUNS_DIR / "scratch/coupled_load",
cache_file_path=EXAMPLE_RUNS_DIR
/ f"caches/coupled_load/target_{model_name}_Cantilever_cache.hdf",
),
)
target_young_modulus_cantilever = 2.2e5
target_model_cantilever.default_input_data["young_modulus"] = atleast_1d(
target_young_modulus_cantilever
)
target_model_cantilever.cache = None
reference_dataset_cantilever = generate_reference_from_parameter_space(
target_model_cantilever,
space_tool_result.parameter_space,
n_samples=6,
as_dataset=True,
)
Out:
INFO - 16:52:31: Working directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/08_calibration/CustomDOETool/39
INFO - 16:52:31:
INFO - 16:52:31: *** Start DOEScenario execution ***
INFO - 16:52:31: DOEScenario
INFO - 16:52:31: Disciplines: Model BendingTestAnalytical: An analytical model for the bending of a parallelepipedic beam
INFO - 16:52:31:
INFO - 16:52:31: Load case:
INFO - 16:52:31: Load case Cantilever: A cantilever load case.
INFO - 16:52:31:
INFO - 16:52:31: Boundary condition variables:
INFO - 16:52:31: ['imposed_dplt', 'relative_dplt_location']
INFO - 16:52:31:
INFO - 16:52:31: Plot parameters:
INFO - 16:52:31: {
INFO - 16:52:31: "curves": []
INFO - 16:52:31: }
INFO - 16:52:31: Load:
INFO - 16:52:31: Load(direction='', sign='', type='')
INFO - 16:52:31:
INFO - 16:52:31: Default values:
INFO - 16:52:31:
INFO - 16:52:31: Default geometrical variables:
INFO - 16:52:31: {"height": [40.0], "length": [600.0], "width": [30.0]}
INFO - 16:52:31:
INFO - 16:52:31: Default numerical variables:
INFO - 16:52:31: {}
INFO - 16:52:31:
INFO - 16:52:31: Default boundary conditions variables:
INFO - 16:52:31: {"imposed_dplt": [-5.0], "relative_dplt_location": [1.0]}
INFO - 16:52:31:
INFO - 16:52:31: Default material variables:
INFO - 16:52:31: {"nu_p": [0.3], "young_modulus": [220000.0]}
INFO - 16:52:31: model_inputs:
INFO - 16:52:31: [
INFO - 16:52:31: "length",
INFO - 16:52:31: "width",
INFO - 16:52:31: "height",
INFO - 16:52:31: "imposed_dplt",
INFO - 16:52:31: "relative_dplt_location",
INFO - 16:52:31: "young_modulus",
INFO - 16:52:31: "nu_p"
INFO - 16:52:31: ]
INFO - 16:52:31: model_outputs:
INFO - 16:52:31: [
INFO - 16:52:31: "reaction_forces",
INFO - 16:52:31: "maximum_dplt",
INFO - 16:52:31: "dplt_grid",
INFO - 16:52:31: "location_max_dplt",
INFO - 16:52:31: "dplt",
INFO - 16:52:31: "moment",
INFO - 16:52:31: "moment_grid",
INFO - 16:52:31: "dplt_at_force_location",
INFO - 16:52:31: "error_code",
INFO - 16:52:31: "model",
INFO - 16:52:31: "load_case",
INFO - 16:52:31: "description",
INFO - 16:52:31: "job_name",
INFO - 16:52:31: "persistent_result_files",
INFO - 16:52:31: "n_cpus",
INFO - 16:52:31: "date",
INFO - 16:52:31: "cpu_time",
INFO - 16:52:31: "user",
INFO - 16:52:31: "machine",
INFO - 16:52:31: "vims_git_version",
INFO - 16:52:31: "directory_archive_root",
INFO - 16:52:31: "directory_archive_job",
INFO - 16:52:31: "directory_scratch_root",
INFO - 16:52:31: "directory_scratch_job"
INFO - 16:52:31: ]
INFO - 16:52:31: MDO formulation: DisciplinaryOpt
INFO - 16:52:31: Optimization problem:
INFO - 16:52:31: minimize reaction_forces(height, imposed_dplt, width)
INFO - 16:52:31: with respect to height, imposed_dplt, width
INFO - 16:52:31: over the design space:
INFO - 16:52:31: +--------------+-------------+-------+-------------+-------+
INFO - 16:52:31: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:31: +--------------+-------------+-------+-------------+-------+
INFO - 16:52:31: | height | -inf | None | inf | float |
INFO - 16:52:31: | imposed_dplt | -inf | None | inf | float |
INFO - 16:52:31: | width | -inf | None | inf | float |
INFO - 16:52:31: +--------------+-------------+-------+-------------+-------+
INFO - 16:52:31: Solving optimization problem with algorithm CustomDOE:
INFO - 16:52:31: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:31: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
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INFO - 16:52:31: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
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INFO - 16:52:31: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
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INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: 83%|████████▎ | 5/6 [00:00<00:00, 7.89 it/sec, obj=-2.39e+3]
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/Cantilever/1
INFO - 16:52:32: 100%|██████████| 6/6 [00:00<00:00, 7.81 it/sec, obj=-2.49e+3]
INFO - 16:52:32: Optimization result:
INFO - 16:52:32: Optimizer info:
INFO - 16:52:32: Status: None
INFO - 16:52:32: Message: None
INFO - 16:52:32: Number of calls to the objective function by the optimizer: 6
INFO - 16:52:32: Solution:
INFO - 16:52:32: Objective: -2612.8052355084437
INFO - 16:52:32: Design space:
INFO - 16:52:32: +--------------+-------------+------------------+-------------+-------+
INFO - 16:52:32: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:32: +--------------+-------------+------------------+-------------+-------+
INFO - 16:52:32: | height | -inf | 40.728271484375 | inf | float |
INFO - 16:52:32: | imposed_dplt | -inf | -5.087890625 | inf | float |
INFO - 16:52:32: | width | -inf | 29.8519287109375 | inf | float |
INFO - 16:52:32: +--------------+-------------+------------------+-------------+-------+
INFO - 16:52:32: *** End DOEScenario execution (time: 0:00:00.775962) ***
We now define a different Young modulus for the three-points load case, considering that the material used in this test is different (the two reference data are subjected to material variability):
target_model_three_points = create_model(
model_name,
"ThreePoints",
model_options=IntegratedModelSettings(
directory_archive_persistency=PersistencyPolicy.DELETE_ALWAYS,
directory_scratch_persistency=PersistencyPolicy.DELETE_ALWAYS,
directory_archive_root=EXAMPLE_RUNS_DIR / "archive/coupled_load",
directory_scratch_root=EXAMPLE_RUNS_DIR / "scratch/coupled_load",
cache_file_path=EXAMPLE_RUNS_DIR
/ f"caches/coupled_load/target_{model_name}_ThreePoints_cache.hdf",
),
)
target_young_modulus_three_points = 2.3e5
target_model_three_points.default_input_data["young_modulus"] = atleast_1d(
target_young_modulus_three_points
)
target_model_three_points.cache = None
reference_dataset_three_points = generate_reference_from_parameter_space(
target_model_three_points,
space_tool_result.parameter_space,
n_samples=6,
as_dataset=True,
)
Out:
INFO - 16:52:32: Working directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/08_calibration/CustomDOETool/40
INFO - 16:52:32:
INFO - 16:52:32: *** Start DOEScenario execution ***
INFO - 16:52:32: DOEScenario
INFO - 16:52:32: Disciplines: Model BendingTestAnalytical: An analytical model for the bending of a parallelepipedic beam
INFO - 16:52:32:
INFO - 16:52:32: Load case:
INFO - 16:52:32: Load case ThreePoints: A three-points load case.
INFO - 16:52:32:
INFO - 16:52:32: Boundary condition variables:
INFO - 16:52:32: ['imposed_dplt', 'relative_support_location']
INFO - 16:52:32:
INFO - 16:52:32: Plot parameters:
INFO - 16:52:32: {
INFO - 16:52:32: "curves": []
INFO - 16:52:32: }
INFO - 16:52:32: Load:
INFO - 16:52:32: Load(direction='', sign='', type='')
INFO - 16:52:32:
INFO - 16:52:32: Default values:
INFO - 16:52:32:
INFO - 16:52:32: Default geometrical variables:
INFO - 16:52:32: {"height": [40.0], "length": [600.0], "width": [30.0]}
INFO - 16:52:32:
INFO - 16:52:32: Default numerical variables:
INFO - 16:52:32: {}
INFO - 16:52:32:
INFO - 16:52:32: Default boundary conditions variables:
INFO - 16:52:32: {"imposed_dplt": [-5.0], "relative_support_location": [0.5]}
INFO - 16:52:32:
INFO - 16:52:32: Default material variables:
INFO - 16:52:32: {"nu_p": [0.3], "young_modulus": [230000.0]}
INFO - 16:52:32: model_inputs:
INFO - 16:52:32: [
INFO - 16:52:32: "length",
INFO - 16:52:32: "width",
INFO - 16:52:32: "height",
INFO - 16:52:32: "imposed_dplt",
INFO - 16:52:32: "relative_support_location",
INFO - 16:52:32: "young_modulus",
INFO - 16:52:32: "nu_p"
INFO - 16:52:32: ]
INFO - 16:52:32: model_outputs:
INFO - 16:52:32: [
INFO - 16:52:32: "reaction_forces",
INFO - 16:52:32: "maximum_dplt",
INFO - 16:52:32: "dplt_grid",
INFO - 16:52:32: "location_max_dplt",
INFO - 16:52:32: "dplt",
INFO - 16:52:32: "moment",
INFO - 16:52:32: "moment_grid",
INFO - 16:52:32: "dplt_at_force_location",
INFO - 16:52:32: "error_code",
INFO - 16:52:32: "model",
INFO - 16:52:32: "load_case",
INFO - 16:52:32: "description",
INFO - 16:52:32: "job_name",
INFO - 16:52:32: "persistent_result_files",
INFO - 16:52:32: "n_cpus",
INFO - 16:52:32: "date",
INFO - 16:52:32: "cpu_time",
INFO - 16:52:32: "user",
INFO - 16:52:32: "machine",
INFO - 16:52:32: "vims_git_version",
INFO - 16:52:32: "directory_archive_root",
INFO - 16:52:32: "directory_archive_job",
INFO - 16:52:32: "directory_scratch_root",
INFO - 16:52:32: "directory_scratch_job"
INFO - 16:52:32: ]
INFO - 16:52:32: MDO formulation: DisciplinaryOpt
INFO - 16:52:32: Optimization problem:
INFO - 16:52:32: minimize reaction_forces(height, imposed_dplt, width)
INFO - 16:52:32: with respect to height, imposed_dplt, width
INFO - 16:52:32: over the design space:
INFO - 16:52:32: +--------------+-------------+-------+-------------+-------+
INFO - 16:52:32: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:32: +--------------+-------------+-------+-------------+-------+
INFO - 16:52:32: | height | -inf | None | inf | float |
INFO - 16:52:32: | imposed_dplt | -inf | None | inf | float |
INFO - 16:52:32: | width | -inf | None | inf | float |
INFO - 16:52:32: +--------------+-------------+-------+-------------+-------+
INFO - 16:52:32: Solving optimization problem with algorithm CustomDOE:
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
INFO - 16:52:32: Current root directory of job directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load.
INFO - 16:52:32: Removing job directory: /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/archive/coupled_load/BendingTestAnalytical/ThreePoints/1
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INFO - 16:52:33: 100%|██████████| 6/6 [00:00<00:00, 8.08 it/sec, obj=-4.03e+4]
INFO - 16:52:33: Optimization result:
INFO - 16:52:33: Optimizer info:
INFO - 16:52:33: Status: None
INFO - 16:52:33: Message: None
INFO - 16:52:33: Number of calls to the objective function by the optimizer: 6
INFO - 16:52:33: Solution:
INFO - 16:52:33: Objective: -42928.638718946444
INFO - 16:52:33: Design space:
INFO - 16:52:33: +--------------+-------------+------------------+-------------+-------+
INFO - 16:52:33: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:33: +--------------+-------------+------------------+-------------+-------+
INFO - 16:52:33: | height | -inf | 40.6444091796875 | inf | float |
INFO - 16:52:33: | imposed_dplt | -inf | -4.957763671875 | inf | float |
INFO - 16:52:33: | width | -inf | 30.27783203125 | inf | float |
INFO - 16:52:33: +--------------+-------------+------------------+-------------+-------+
INFO - 16:52:33: *** End DOEScenario execution (time: 0:00:00.750090) ***
We now define the models used for the calibration:
model_cantilever = create_model(
model_name,
"Cantilever",
model_options=IntegratedModelSettings(
directory_archive_root=EXAMPLE_RUNS_DIR / "archive/calibration_coupled",
directory_scratch_root=EXAMPLE_RUNS_DIR / "scratch/calibration_coupled",
cache_file_path=EXAMPLE_RUNS_DIR
/ f"caches/calibration_coupled/{model_name}_Cantilever_cache.hdf",
),
)
model_three_points = create_model(
model_name,
"ThreePoints",
model_options=IntegratedModelSettings(
directory_archive_root=EXAMPLE_RUNS_DIR / "archive/calibration_coupled",
directory_scratch_root=EXAMPLE_RUNS_DIR / "scratch/calibration_coupled",
cache_file_path=EXAMPLE_RUNS_DIR
/ f"caches/calibration_coupled/{model_name}_ThreePoints_cache.hdf",
),
)
Out:
INFO - 16:52:33: Found 138 entries in the cache file : /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/caches/calibration_coupled/BendingTestAnalytical_Cantilever_cache.hdf node : node
INFO - 16:52:33: Found 138 entries in the cache file : /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/caches/calibration_coupled/BendingTestAnalytical_ThreePoints_cache.hdf node : node
We can now define a calibration step which will take into account both load cases to find the best compromise of Young modulus. The match between the posterior output data and the reference data cannot be perfect because we have deliberately used a different material to generate the two reference datasets. Assuming that we consider an equal weight of each load case in the calibration of the Young modulus, then we expect that the optimal value is the average of the two target values used to generate the reference data. Here, a relative mean square error metric is used to compute the mismatch between the simulated and reference data.
.. note::
It is crucial to use a relative metric, which scales the simulated outputs
to a standard magnitude (by dividing by the reference data typically).
Otherwise, if the magnitude of the simulated outputs for each load case is
different, the optimizer will see metrics of different magnitudes in the objective
function, and will give more weight to the metric of greater magnitude.
output_name = "reaction_forces"
step = CalibrationStep(working_directory="coupled_step")
step.execute(
inputs=CalibrationStepInputs(
reference_data={
"Cantilever": reference_dataset_cantilever,
"ThreePoints": reference_dataset_three_points,
},
),
settings=CalibrationStepSettings(
name_to_models={
"Cantilever": model_cantilever,
"ThreePoints": model_three_points,
},
control_outputs={output_name: CalibrationMetricSettings(measure="RelativeMSE")},
input_names=[
"height",
"width",
"imposed_dplt",
],
parameter_names=["young_modulus"],
optimizer_settings=NLOPT_COBYLA_Settings(max_iter=50),
),
)
step.save_results()
Out:
INFO - 16:52:33: Working directory is /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/08_calibration/coupled_step
INFO - 16:52:33: Found 138 entries in the cache file : /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/caches/calibration_coupled/BendingTestAnalytical_Cantilever_cache.hdf node : node
INFO - 16:52:33: Found 138 entries in the cache file : /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/model_runs/caches/calibration_coupled/BendingTestAnalytical_ThreePoints_cache.hdf node : node
INFO - 16:52:33: Calibration design space: Design space:
INFO - 16:52:33: +---------------+-------------+--------+-------------+-------+
INFO - 16:52:33: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:33: +---------------+-------------+--------+-------------+-------+
INFO - 16:52:33: | young_modulus | 190000 | 210000 | 230000 | float |
INFO - 16:52:33: +---------------+-------------+--------+-------------+-------+
WARNING - 16:52:33: No coupling in MDA, switching chain_linearize to True.
INFO - 16:52:33:
INFO - 16:52:33: *** Start CalibrationScenario execution ***
INFO - 16:52:33: CalibrationScenario
INFO - 16:52:33: Disciplines: Calibrator
INFO - 16:52:33: MDO formulation: DisciplinaryOpt
WARNING - 16:52:33: Relative MSE: [[0.00756144]
WARNING - 16:52:33: [0.00756144]
WARNING - 16:52:33: [0.00756144]
WARNING - 16:52:33: [0.00756144]
WARNING - 16:52:33: [0.00756144]
WARNING - 16:52:33: [0.00756144]]
WARNING - 16:52:33: Relative MSE: [[0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]]
INFO - 16:52:33: Optimization problem:
INFO - 16:52:33: minimize 0.5*RelativeMSE[Cantilever:reaction_forces]+0.5*RelativeMSE[ThreePoints:reaction_forces](young_modulus)
INFO - 16:52:33: with respect to young_modulus
INFO - 16:52:33: over the design space:
INFO - 16:52:33: +---------------+-------------+--------+-------------+-------+
INFO - 16:52:33: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:33: +---------------+-------------+--------+-------------+-------+
INFO - 16:52:33: | young_modulus | 190000 | 210000 | 230000 | float |
INFO - 16:52:33: +---------------+-------------+--------+-------------+-------+
INFO - 16:52:33: Solving optimization problem with algorithm NLOPT_COBYLA:
INFO - 16:52:33: 2%|▏ | 1/50 [00:00<00:00, 1959.04 it/sec, obj=0.00481]
WARNING - 16:52:33: Relative MSE: [[0.00189036]
WARNING - 16:52:33: [0.00189036]
WARNING - 16:52:33: [0.00189036]
WARNING - 16:52:33: [0.00189036]
WARNING - 16:52:33: [0.00189036]
WARNING - 16:52:33: [0.00189036]]
WARNING - 16:52:33: Relative MSE: [[0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]]
INFO - 16:52:33: 4%|▍ | 2/50 [00:00<00:02, 16.04 it/sec, obj=0.000945]
WARNING - 16:52:33: Relative MSE: [[0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]
WARNING - 16:52:33: [0.]]
WARNING - 16:52:33: Relative MSE: [[0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]
WARNING - 16:52:33: [0.00206612]]
INFO - 16:52:33: 6%|▌ | 3/50 [00:00<00:03, 12.12 it/sec, obj=0.00103]
WARNING - 16:52:34: Relative MSE: [[0.00047259]
WARNING - 16:52:34: [0.00047259]
WARNING - 16:52:34: [0.00047259]
WARNING - 16:52:34: [0.00047259]
WARNING - 16:52:34: [0.00047259]
WARNING - 16:52:34: [0.00047259]]
WARNING - 16:52:34: Relative MSE: [[0.00051653]
WARNING - 16:52:34: [0.00051653]
WARNING - 16:52:34: [0.00051653]
WARNING - 16:52:34: [0.00051653]
WARNING - 16:52:34: [0.00051653]
WARNING - 16:52:34: [0.00051653]]
INFO - 16:52:34: 8%|▊ | 4/50 [00:00<00:04, 10.89 it/sec, obj=0.000495]
WARNING - 16:52:34: Relative MSE: [[0.00011815]
WARNING - 16:52:34: [0.00011815]
WARNING - 16:52:34: [0.00011815]
WARNING - 16:52:34: [0.00011815]
WARNING - 16:52:34: [0.00011815]
WARNING - 16:52:34: [0.00011815]]
WARNING - 16:52:34: Relative MSE: [[0.00116219]
WARNING - 16:52:34: [0.00116219]
WARNING - 16:52:34: [0.00116219]
WARNING - 16:52:34: [0.00116219]
WARNING - 16:52:34: [0.00116219]
WARNING - 16:52:34: [0.00116219]]
INFO - 16:52:34: 10%|█ | 5/50 [00:00<00:04, 10.28 it/sec, obj=0.00064]
WARNING - 16:52:34: Relative MSE: [[0.00073842]
WARNING - 16:52:34: [0.00073842]
WARNING - 16:52:34: [0.00073842]
WARNING - 16:52:34: [0.00073842]
WARNING - 16:52:34: [0.00073842]
WARNING - 16:52:34: [0.00073842]]
WARNING - 16:52:34: Relative MSE: [[0.00029055]
WARNING - 16:52:34: [0.00029055]
WARNING - 16:52:34: [0.00029055]
WARNING - 16:52:34: [0.00029055]
WARNING - 16:52:34: [0.00029055]
WARNING - 16:52:34: [0.00029055]]
INFO - 16:52:34: 12%|█▏ | 6/50 [00:00<00:04, 9.77 it/sec, obj=0.000514]
WARNING - 16:52:34: Relative MSE: [[0.00036183]
WARNING - 16:52:34: [0.00036183]
WARNING - 16:52:34: [0.00036183]
WARNING - 16:52:34: [0.00036183]
WARNING - 16:52:34: [0.00036183]
WARNING - 16:52:34: [0.00036183]]
WARNING - 16:52:34: Relative MSE: [[0.00065373]
WARNING - 16:52:34: [0.00065373]
WARNING - 16:52:34: [0.00065373]
WARNING - 16:52:34: [0.00065373]
WARNING - 16:52:34: [0.00065373]
WARNING - 16:52:34: [0.00065373]]
INFO - 16:52:34: 14%|█▍ | 7/50 [00:00<00:04, 9.61 it/sec, obj=0.000508]
WARNING - 16:52:34: Relative MSE: [[0.00053351]
WARNING - 16:52:34: [0.00053351]
WARNING - 16:52:34: [0.00053351]
WARNING - 16:52:34: [0.00053351]
WARNING - 16:52:34: [0.00053351]
WARNING - 16:52:34: [0.00053351]]
WARNING - 16:52:34: Relative MSE: [[0.00045398]
WARNING - 16:52:34: [0.00045398]
WARNING - 16:52:34: [0.00045398]
WARNING - 16:52:34: [0.00045398]
WARNING - 16:52:34: [0.00045398]
WARNING - 16:52:34: [0.00045398]]
INFO - 16:52:34: 16%|█▌ | 8/50 [00:00<00:04, 9.51 it/sec, obj=0.000494]
WARNING - 16:52:34: Relative MSE: [[0.00059812]
WARNING - 16:52:34: [0.00059812]
WARNING - 16:52:34: [0.00059812]
WARNING - 16:52:34: [0.00059812]
WARNING - 16:52:34: [0.00059812]
WARNING - 16:52:34: [0.00059812]]
WARNING - 16:52:34: Relative MSE: [[0.00039547]
WARNING - 16:52:34: [0.00039547]
WARNING - 16:52:34: [0.00039547]
WARNING - 16:52:34: [0.00039547]
WARNING - 16:52:34: [0.00039547]
WARNING - 16:52:34: [0.00039547]]
INFO - 16:52:34: 18%|█▊ | 9/50 [00:00<00:04, 9.48 it/sec, obj=0.000497]
WARNING - 16:52:34: Relative MSE: [[0.00056535]
WARNING - 16:52:34: [0.00056535]
WARNING - 16:52:34: [0.00056535]
WARNING - 16:52:34: [0.00056535]
WARNING - 16:52:34: [0.00056535]
WARNING - 16:52:34: [0.00056535]]
WARNING - 16:52:34: Relative MSE: [[0.00042422]
WARNING - 16:52:34: [0.00042422]
WARNING - 16:52:34: [0.00042422]
WARNING - 16:52:34: [0.00042422]
WARNING - 16:52:34: [0.00042422]
WARNING - 16:52:34: [0.00042422]]
INFO - 16:52:34: 20%|██ | 10/50 [00:01<00:04, 9.45 it/sec, obj=0.000495]
WARNING - 16:52:34: Relative MSE: [[0.00051793]
WARNING - 16:52:34: [0.00051793]
WARNING - 16:52:34: [0.00051793]
WARNING - 16:52:34: [0.00051793]
WARNING - 16:52:34: [0.00051793]
WARNING - 16:52:34: [0.00051793]]
WARNING - 16:52:34: Relative MSE: [[0.00046924]
WARNING - 16:52:34: [0.00046924]
WARNING - 16:52:34: [0.00046924]
WARNING - 16:52:34: [0.00046924]
WARNING - 16:52:34: [0.00046924]
WARNING - 16:52:34: [0.00046924]]
INFO - 16:52:34: 22%|██▏ | 11/50 [00:01<00:04, 9.39 it/sec, obj=0.000494]
WARNING - 16:52:34: Relative MSE: [[0.00050259]
WARNING - 16:52:34: [0.00050259]
WARNING - 16:52:34: [0.00050259]
WARNING - 16:52:34: [0.00050259]
WARNING - 16:52:34: [0.00050259]
WARNING - 16:52:34: [0.00050259]]
WARNING - 16:52:34: Relative MSE: [[0.00048475]
WARNING - 16:52:34: [0.00048475]
WARNING - 16:52:34: [0.00048475]
WARNING - 16:52:34: [0.00048475]
WARNING - 16:52:34: [0.00048475]
WARNING - 16:52:34: [0.00048475]]
INFO - 16:52:34: 24%|██▍ | 12/50 [00:01<00:04, 9.34 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.00051023]
WARNING - 16:52:35: [0.00051023]
WARNING - 16:52:35: [0.00051023]
WARNING - 16:52:35: [0.00051023]
WARNING - 16:52:35: [0.00051023]
WARNING - 16:52:35: [0.00051023]]
WARNING - 16:52:35: Relative MSE: [[0.00047696]
WARNING - 16:52:35: [0.00047696]
WARNING - 16:52:35: [0.00047696]
WARNING - 16:52:35: [0.00047696]
WARNING - 16:52:35: [0.00047696]
WARNING - 16:52:35: [0.00047696]]
INFO - 16:52:35: 26%|██▌ | 13/50 [00:01<00:03, 9.26 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.00052181]
WARNING - 16:52:35: [0.00052181]
WARNING - 16:52:35: [0.00052181]
WARNING - 16:52:35: [0.00052181]
WARNING - 16:52:35: [0.00052181]
WARNING - 16:52:35: [0.00052181]]
WARNING - 16:52:35: Relative MSE: [[0.0004654]
WARNING - 16:52:35: [0.0004654]
WARNING - 16:52:35: [0.0004654]
WARNING - 16:52:35: [0.0004654]
WARNING - 16:52:35: [0.0004654]
WARNING - 16:52:35: [0.0004654]]
INFO - 16:52:35: 28%|██▊ | 14/50 [00:01<00:03, 9.18 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.000516]
WARNING - 16:52:35: [0.000516]
WARNING - 16:52:35: [0.000516]
WARNING - 16:52:35: [0.000516]
WARNING - 16:52:35: [0.000516]
WARNING - 16:52:35: [0.000516]]
WARNING - 16:52:35: Relative MSE: [[0.00047116]
WARNING - 16:52:35: [0.00047116]
WARNING - 16:52:35: [0.00047116]
WARNING - 16:52:35: [0.00047116]
WARNING - 16:52:35: [0.00047116]
WARNING - 16:52:35: [0.00047116]]
INFO - 16:52:35: 30%|███ | 15/50 [00:01<00:03, 9.07 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.00051408]
WARNING - 16:52:35: [0.00051408]
WARNING - 16:52:35: [0.00051408]
WARNING - 16:52:35: [0.00051408]
WARNING - 16:52:35: [0.00051408]
WARNING - 16:52:35: [0.00051408]]
WARNING - 16:52:35: Relative MSE: [[0.00047309]
WARNING - 16:52:35: [0.00047309]
WARNING - 16:52:35: [0.00047309]
WARNING - 16:52:35: [0.00047309]
WARNING - 16:52:35: [0.00047309]
WARNING - 16:52:35: [0.00047309]]
INFO - 16:52:35: 32%|███▏ | 16/50 [00:01<00:03, 8.97 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.00051504]
WARNING - 16:52:35: [0.00051504]
WARNING - 16:52:35: [0.00051504]
WARNING - 16:52:35: [0.00051504]
WARNING - 16:52:35: [0.00051504]
WARNING - 16:52:35: [0.00051504]]
WARNING - 16:52:35: Relative MSE: [[0.00047213]
WARNING - 16:52:35: [0.00047213]
WARNING - 16:52:35: [0.00047213]
WARNING - 16:52:35: [0.00047213]
WARNING - 16:52:35: [0.00047213]
WARNING - 16:52:35: [0.00047213]]
INFO - 16:52:35: 34%|███▍ | 17/50 [00:01<00:03, 8.82 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.00051456]
WARNING - 16:52:35: [0.00051456]
WARNING - 16:52:35: [0.00051456]
WARNING - 16:52:35: [0.00051456]
WARNING - 16:52:35: [0.00051456]
WARNING - 16:52:35: [0.00051456]]
WARNING - 16:52:35: Relative MSE: [[0.00047261]
WARNING - 16:52:35: [0.00047261]
WARNING - 16:52:35: [0.00047261]
WARNING - 16:52:35: [0.00047261]
WARNING - 16:52:35: [0.00047261]
WARNING - 16:52:35: [0.00047261]]
INFO - 16:52:35: 36%|███▌ | 18/50 [00:02<00:03, 8.84 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.00051528]
WARNING - 16:52:35: [0.00051528]
WARNING - 16:52:35: [0.00051528]
WARNING - 16:52:35: [0.00051528]
WARNING - 16:52:35: [0.00051528]
WARNING - 16:52:35: [0.00051528]]
WARNING - 16:52:35: Relative MSE: [[0.00047189]
WARNING - 16:52:35: [0.00047189]
WARNING - 16:52:35: [0.00047189]
WARNING - 16:52:35: [0.00047189]
WARNING - 16:52:35: [0.00047189]
WARNING - 16:52:35: [0.00047189]]
INFO - 16:52:35: 38%|███▊ | 19/50 [00:02<00:03, 8.78 it/sec, obj=0.000494]
WARNING - 16:52:35: Relative MSE: [[0.00051552]
WARNING - 16:52:35: [0.00051552]
WARNING - 16:52:35: [0.00051552]
WARNING - 16:52:35: [0.00051552]
WARNING - 16:52:35: [0.00051552]
WARNING - 16:52:35: [0.00051552]]
WARNING - 16:52:35: Relative MSE: [[0.00047165]
WARNING - 16:52:35: [0.00047165]
WARNING - 16:52:35: [0.00047165]
WARNING - 16:52:35: [0.00047165]
WARNING - 16:52:35: [0.00047165]
WARNING - 16:52:35: [0.00047165]]
INFO - 16:52:35: 40%|████ | 20/50 [00:02<00:03, 8.74 it/sec, obj=0.000494]
WARNING - 16:52:36: Relative MSE: [[0.00051576]
WARNING - 16:52:36: [0.00051576]
WARNING - 16:52:36: [0.00051576]
WARNING - 16:52:36: [0.00051576]
WARNING - 16:52:36: [0.00051576]
WARNING - 16:52:36: [0.00051576]]
WARNING - 16:52:36: Relative MSE: [[0.00047141]
WARNING - 16:52:36: [0.00047141]
WARNING - 16:52:36: [0.00047141]
WARNING - 16:52:36: [0.00047141]
WARNING - 16:52:36: [0.00047141]
WARNING - 16:52:36: [0.00047141]]
INFO - 16:52:36: 42%|████▏ | 21/50 [00:02<00:03, 8.75 it/sec, obj=0.000494]
WARNING - 16:52:36: Relative MSE: [[0.00051564]
WARNING - 16:52:36: [0.00051564]
WARNING - 16:52:36: [0.00051564]
WARNING - 16:52:36: [0.00051564]
WARNING - 16:52:36: [0.00051564]
WARNING - 16:52:36: [0.00051564]]
WARNING - 16:52:36: Relative MSE: [[0.00047153]
WARNING - 16:52:36: [0.00047153]
WARNING - 16:52:36: [0.00047153]
WARNING - 16:52:36: [0.00047153]
WARNING - 16:52:36: [0.00047153]
WARNING - 16:52:36: [0.00047153]]
INFO - 16:52:36: 44%|████▍ | 22/50 [00:02<00:03, 8.77 it/sec, obj=0.000494]
WARNING - 16:52:36: Relative MSE: [[0.00051546]
WARNING - 16:52:36: [0.00051546]
WARNING - 16:52:36: [0.00051546]
WARNING - 16:52:36: [0.00051546]
WARNING - 16:52:36: [0.00051546]
WARNING - 16:52:36: [0.00051546]]
WARNING - 16:52:36: Relative MSE: [[0.00047171]
WARNING - 16:52:36: [0.00047171]
WARNING - 16:52:36: [0.00047171]
WARNING - 16:52:36: [0.00047171]
WARNING - 16:52:36: [0.00047171]
WARNING - 16:52:36: [0.00047171]]
INFO - 16:52:36: 46%|████▌ | 23/50 [00:02<00:03, 8.79 it/sec, obj=0.000494]
INFO - 16:52:36: Optimization result:
INFO - 16:52:36: Optimizer info:
INFO - 16:52:36: Status: None
INFO - 16:52:36: Message: Successive iterates of the objective function are closer than ftol_rel or ftol_abs. GEMSEO stopped the driver.
INFO - 16:52:36: Number of calls to the objective function by the optimizer: 25
INFO - 16:52:36: Solution:
INFO - 16:52:36: Objective: 0.0004935834156580208
INFO - 16:52:36: Design space:
INFO - 16:52:36: +---------------+-------------+-----------------+-------------+-------+
INFO - 16:52:36: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:36: +---------------+-------------+-----------------+-------------+-------+
INFO - 16:52:36: | young_modulus | 190000 | 224777.83203125 | 230000 | float |
INFO - 16:52:36: +---------------+-------------+-----------------+-------------+-------+
WARNING - 16:52:36: Relative MSE: [[0.00051552]
WARNING - 16:52:36: [0.00051552]
WARNING - 16:52:36: [0.00051552]
WARNING - 16:52:36: [0.00051552]
WARNING - 16:52:36: [0.00051552]
WARNING - 16:52:36: [0.00051552]]
WARNING - 16:52:36: Relative MSE: [[0.00047165]
WARNING - 16:52:36: [0.00047165]
WARNING - 16:52:36: [0.00047165]
WARNING - 16:52:36: [0.00047165]
WARNING - 16:52:36: [0.00047165]
WARNING - 16:52:36: [0.00047165]]
INFO - 16:52:36: *** End CalibrationScenario execution (time: 0:00:02.890811) ***
INFO - 16:52:36: Parameters before calibration: {'young_modulus': array([210000.])}
INFO - 16:52:36: Parameters after calibration: {'young_modulus': 224777.83203125}
/home/sebastien.bocquet/PycharmProjects/vimseo/.tox/doc/lib/python3.11/site-packages/matplotlib/_mathtext.py:2170: PyparsingDeprecationWarning:
'parseString' deprecated - use 'parse_string'
/home/sebastien.bocquet/PycharmProjects/vimseo/.tox/doc/lib/python3.11/site-packages/pyparsing/util.py:466: PyparsingDeprecationWarning:
'parseAll' argument is deprecated, use 'parse_all'
/home/sebastien.bocquet/PycharmProjects/vimseo/.tox/doc/lib/python3.11/site-packages/matplotlib/_mathtext.py:2178: PyparsingDeprecationWarning:
'resetCache' deprecated - use 'reset_cache'
INFO - 16:52:37: Saving result to /home/sebastien.bocquet/PycharmProjects/vimseo/docs/runnable_examples/08_calibration/coupled_step/CalibrationStep_result.hdf5
INFO - 16:52:37: PICKLE fallback: key='Cantilever', type=<class 'vimseo.problems.beam_analytic.bending_test_analytical.BendingTestAnalytical'>, value=Model BendingTestAnalytical: An analytical model for the bending of a parallelepipedic beam
INFO - 16:52:37:
INFO - 16:52:37: Load case:
INFO - 16:52:37: Load case Cantilever: A cantilever load case.
INFO - 16:52:37:
INFO - 16:52:37: Boundary condition variables:
INFO - 16:52:37: ['imposed_dplt', 'relative_dplt_location']
INFO - 16:52:37:
INFO - 16:52:37: Plot parameters:
INFO - 16:52:37: {
INFO - 16:52:37: "curves": []
INFO - 16:52:37: }
INFO - 16:52:37: Load:
INFO - 16:52:37: Load(direction='', sign='', type='')
INFO - 16:52:37:
INFO - 16:52:37: Default values:
INFO - 16:52:37:
INFO - 16:52:37: Default geometrical variables:
INFO - 16:52:37: {"height": [40.0], "length": [600.0], "width": [30.0]}
INFO - 16:52:37:
INFO - 16:52:37: Default numerical variables:
INFO - 16:52:37: {}
INFO - 16:52:37:
INFO - 16:52:37: Default boundary conditions variables:
INFO - 16:52:37: {"imposed_dplt": [-5.0], "relative_dplt_location": [1.0]}
INFO - 16:52:37:
INFO - 16:52:37: Default material variables:
INFO - 16:52:37: {"nu_p": [0.3], "young_modulus": [210000.0]}
INFO - 16:52:37: model_inputs:
INFO - 16:52:37: [
INFO - 16:52:37: "length",
INFO - 16:52:37: "width",
INFO - 16:52:37: "height",
INFO - 16:52:37: "imposed_dplt",
INFO - 16:52:37: "relative_dplt_location",
INFO - 16:52:37: "young_modulus",
INFO - 16:52:37: "nu_p"
INFO - 16:52:37: ]
INFO - 16:52:37: model_outputs:
INFO - 16:52:37: [
INFO - 16:52:37: "reaction_forces",
INFO - 16:52:37: "maximum_dplt",
INFO - 16:52:37: "dplt_grid",
INFO - 16:52:37: "location_max_dplt",
INFO - 16:52:37: "dplt",
INFO - 16:52:37: "moment",
INFO - 16:52:37: "moment_grid",
INFO - 16:52:37: "dplt_at_force_location",
INFO - 16:52:37: "error_code",
INFO - 16:52:37: "model",
INFO - 16:52:37: "load_case",
INFO - 16:52:37: "description",
INFO - 16:52:37: "job_name",
INFO - 16:52:37: "persistent_result_files",
INFO - 16:52:37: "n_cpus",
INFO - 16:52:37: "date",
INFO - 16:52:37: "cpu_time",
INFO - 16:52:37: "user",
INFO - 16:52:37: "machine",
INFO - 16:52:37: "vims_git_version",
INFO - 16:52:37: "directory_archive_root",
INFO - 16:52:37: "directory_archive_job",
INFO - 16:52:37: "directory_scratch_root",
INFO - 16:52:37: "directory_scratch_job"
INFO - 16:52:37: ]
INFO - 16:52:37: PICKLE fallback: key='ThreePoints', type=<class 'vimseo.problems.beam_analytic.bending_test_analytical.BendingTestAnalytical'>, value=Model BendingTestAnalytical: An analytical model for the bending of a parallelepipedic beam
INFO - 16:52:37:
INFO - 16:52:37: Load case:
INFO - 16:52:37: Load case ThreePoints: A three-points load case.
INFO - 16:52:37:
INFO - 16:52:37: Boundary condition variables:
INFO - 16:52:37: ['imposed_dplt', 'relative_support_location']
INFO - 16:52:37:
INFO - 16:52:37: Plot parameters:
INFO - 16:52:37: {
INFO - 16:52:37: "curves": []
INFO - 16:52:37: }
INFO - 16:52:37: Load:
INFO - 16:52:37: Load(direction='', sign='', type='')
INFO - 16:52:37:
INFO - 16:52:37: Default values:
INFO - 16:52:37:
INFO - 16:52:37: Default geometrical variables:
INFO - 16:52:37: {"height": [40.0], "length": [600.0], "width": [30.0]}
INFO - 16:52:37:
INFO - 16:52:37: Default numerical variables:
INFO - 16:52:37: {}
INFO - 16:52:37:
INFO - 16:52:37: Default boundary conditions variables:
INFO - 16:52:37: {"imposed_dplt": [-5.0], "relative_support_location": [0.5]}
INFO - 16:52:37:
INFO - 16:52:37: Default material variables:
INFO - 16:52:37: {"nu_p": [0.3], "young_modulus": [210000.0]}
INFO - 16:52:37: model_inputs:
INFO - 16:52:37: [
INFO - 16:52:37: "length",
INFO - 16:52:37: "width",
INFO - 16:52:37: "height",
INFO - 16:52:37: "imposed_dplt",
INFO - 16:52:37: "relative_support_location",
INFO - 16:52:37: "young_modulus",
INFO - 16:52:37: "nu_p"
INFO - 16:52:37: ]
INFO - 16:52:37: model_outputs:
INFO - 16:52:37: [
INFO - 16:52:37: "reaction_forces",
INFO - 16:52:37: "maximum_dplt",
INFO - 16:52:37: "dplt_grid",
INFO - 16:52:37: "location_max_dplt",
INFO - 16:52:37: "dplt",
INFO - 16:52:37: "moment",
INFO - 16:52:37: "moment_grid",
INFO - 16:52:37: "dplt_at_force_location",
INFO - 16:52:37: "error_code",
INFO - 16:52:37: "model",
INFO - 16:52:37: "load_case",
INFO - 16:52:37: "description",
INFO - 16:52:37: "job_name",
INFO - 16:52:37: "persistent_result_files",
INFO - 16:52:37: "n_cpus",
INFO - 16:52:37: "date",
INFO - 16:52:37: "cpu_time",
INFO - 16:52:37: "user",
INFO - 16:52:37: "machine",
INFO - 16:52:37: "vims_git_version",
INFO - 16:52:37: "directory_archive_root",
INFO - 16:52:37: "directory_archive_job",
INFO - 16:52:37: "directory_scratch_root",
INFO - 16:52:37: "directory_scratch_job"
INFO - 16:52:37: ]
INFO - 16:52:37: PICKLE fallback: key='design_space', type=<class 'gemseo.algos.design_space.DesignSpace'>, value=Design space:
INFO - 16:52:37: +---------------+-------------+-----------------+-------------+-------+
INFO - 16:52:37: | Name | Lower bound | Value | Upper bound | Type |
INFO - 16:52:37: +---------------+-------------+-----------------+-------------+-------+
INFO - 16:52:37: | young_modulus | 190000 | 224777.83203125 | 230000 | float |
INFO - 16:52:37: +---------------+-------------+-----------------+-------------+-------+
INFO - 16:52:37: PICKLE fallback: key='optimization_history_variables', type=<class 'matplotlib.figure.Figure'>, value=Figure(1100x600)
INFO - 16:52:37: PICKLE fallback: key='optimization_history_objective', type=<class 'matplotlib.figure.Figure'>, value=Figure(1100x600)
INFO - 16:52:37: PICKLE fallback: key='optimization_history_x_xstar', type=<class 'matplotlib.figure.Figure'>, value=Figure(1100x600)
INFO - 16:52:37: PICKLE fallback: key='simulated_versus_reference_reaction_forces', type=<class 'matplotlib.figure.Figure'>, value=Figure(640x480)
INFO - 16:52:37: PICKLE fallback: key='simulated_versus_reference_reaction_forces', type=<class 'matplotlib.figure.Figure'>, value=Figure(640x480)
For scalar metrics, a bar plot shows the agreement between the simulated and reference outputs. for the Cantilever load case:
figures = step.plot_results(step.result, save=False, show=True)
figures["Cantilever"][f"simulated_versus_reference_{output_name}_bars"]
And fof the ThreePoints load case:
figures["ThreePoints"][f"simulated_versus_reference_{output_name}_bars"]
We expect that the best compromise is the average value between the two young modulus, which is 2.25e5:
step.result.posterior_parameters["young_modulus"]
Out:
224777.83203125
Total running time of the script: ( 0 minutes 6.000 seconds)
Download Python source code: plot_03_coupled_load_cases.py