AxialStressedBeamReliability

class AxialStressedBeamReliability(threshold=0.0)

Class to define a axial stressed beam benchmark problem.

Methods

computeBeta()

Return the beta of the reliability problem.

getEvent()

Return the event.

getName()

Return the name of the problem.

getProbability()

Return the probability.

toFullString()

Convert the object into a string, with full details.

__init__(threshold=0.0)

Create a axial stressed beam reliability problem.

The inputs are R, the Yield strength, and F, the traction load. The event is {g(X) < threshold} where

g(R, F) = R - F/(\pi * 100.0)

We have R ~ LogNormalMuSigma() and F ~ Normal().

Parameters:
thresholdfloat

The threshold.

Examples

>>> import otbenchmark as otb
>>> problem = otb.AxialStressedBeamReliability()
computeBeta()

Return the beta of the reliability problem.

This is the quantile of the probability of a standard gaussian distribution.

Parameters:
None.
Returns:
beta: float

The beta of the problem.

getEvent()

Return the event.

Parameters:
None.
Returns:
event: ot.ThresholdEvent

The event.

getName()

Return the name of the problem.

Parameters:
None.
Returns:
name: str

The name of the problem.

getProbability()

Return the probability.

Parameters:
None.
Returns:
probability: float

The probability of the event.

toFullString()

Convert the object into a string, with full details.

Parameters:
None.
Returns:
s: str

The string of the problem.