CantileverBeam

class CantileverBeam

Data class for the cantilever beam example.

Attributes:

dimint

The dimension of the problem, dim=4.

EBeta

Young’s modulus distribution Beta(0.9, 3.5, 65.0e9, 75.0e9)

FLogNormal

Load distribution LogNormalMuSigma()([300.0, 30.0, 0.0])

LUniform

Length distribution Uniform(2.5, 2.6)

IIBeta

Moment of inertia distribution Beta(2.5, 4.0, 1.3e-7, 1.7e-7)

modelSymbolicFunction

The physical model of the cantilever beam.

RCorrelationMatrix

Correlation matrix used to define the copula.

copulaNormalCopula

Copula of the model.

distributionJointDistribution

The joint distribution of the parameters.

independentDistributionJointDistribution

The joint distribution of the parameters with independent copula.

dataSample

Sample of the input distribution

Examples

>>> from openturns.usecases import cantilever_beam
>>> # Load the cantilever beam model
>>> cb = cantilever_beam.CantileverBeam()

__init__()

Examples using the class

Getting started

Getting started

Export a metamodel

Export a metamodel

Gaussian Process Regression: choose an arbitrary trend

Gaussian Process Regression: choose an arbitrary trend

Gaussian Process Regression: choose a polynomial trend on the beam model

Gaussian Process Regression: choose a polynomial trend on the beam model

Gaussian Process Regression : cantilever beam model

Gaussian Process Regression : cantilever beam model

Create a polynomial chaos metamodel by integration on the cantilever beam

Create a polynomial chaos metamodel by integration on the cantilever beam

Compute Sobol’ indices confidence intervals

Compute Sobol' indices confidence intervals

Analyse the central tendency of a cantilever beam

Analyse the central tendency of a cantilever beam

Use the Adaptive Directional Stratification Algorithm

Use the Adaptive Directional Stratification Algorithm

Use the Directional Sampling Algorithm

Use the Directional Sampling Algorithm

Use the FORM - SORM algorithms

Use the FORM - SORM algorithms

Use the Importance Sampling algorithm

Use the Importance Sampling algorithm

Use a randomized QMC algorithm

Use a randomized QMC algorithm

Estimate Sobol’ indices for the beam by simulation algorithm

Estimate Sobol' indices for the beam by simulation algorithm