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