Author(s)

Eugenio Barbieri, Carlo Cinquini & Marco Lombard

Abstract

In the present work an optimal solution for the well studied problem of truss shape/size optimization will be pursued when a certain level of uncertainty in the material constants is considered. This uncertain optimization will then give optimal structures which can be considered robust with respect to material con- stants variation. To this goal the convex set approach, and anti-optimization will be used to find the worst effect of the uncertainty on the structural response. The method consists in alternating between the main optimization problem and the maximization of constraints with respect to the variation of the uncertain variables. The main optimization is carried out using the Diagonal Quadratic Approximation of Zhang and Fleury. Numerical examples will be give

Keywords