Beam 3-point bending (Reliability)

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Here reliability analysis will be performed with the Beam 3-point bending model.

Definition of a performance function

A performance function requires to be defined before performing reliability analysis. In this example failure is defined as a displacement of the mid-point of the beam below a critical value. Here failure occurs when the displacement is above 0.015 mm. A parameter whose value is the critical displacement is created.

Then a performance function is created. The capacity is the displacement of the mid-point of the beam, the demand is the critical displacement. Failure occurs when the value of the performance function is less then zero.

Creation of the performance function

Definition of a probabilistic model

A probabilistic model needs to be defined. It is based on the physical model used to perform simulation analysis.

Creation of the performance function
Important.png Physical model
The parameter defining the critical displacement needs to be added to the physical model on which the probabilistic model is based


Performing analysis

The analysis is performed like the simulation analysis. Reliability analysis has to be selected, and then evaluation of the quantity of interest is the failure probability.

Quantity of interest.png


Results

The results of the reliability analysis can be displayed by double clicking on the XfailureProbability object available on the context menu

Ctx menu.png

The failure probability is displayed, with other important data related to the simulation (moments of the estimator, number of samples, etc).

Pf editor.png


See Also

Beam 3-point bending (overview)

Beam 3-point bending (Presentation)

Beam 3-point bending (Inputs Preparation)

Beam 3-point bending (Evaluator)

Beam 3-point bending (Simulation)

Beam_3-point_bending_(Reliability)