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Problem Description

Reliability Baser Design Optimization (RBDO) includes the variation of the design variables into the design problem.

 

 

rbdo_example1.png

The example demonstrates:

  • Reliability Based Design Optimization (RBDO)
  • Creating statistical distributions and assigning them to design variables
  • Probabilistic constraints

 


Problem Description

The problem is of a simple two-bar truss. It has two variables: the thickness of the bars (x1) and the leg width (x2). Both the thickness and the leg width has uncertainties associated with them. A value of the base variable and the area variable must be obtained that minimizes mass while respecting a probability of not exceeding the allowable stress value.

 

Design Formulation

The design formulation is as follows:

  • Minimize the weight of the structure subject to the probability of the maximum stress in the bars exceeding the failure stress.

 

Problem Solution