N.D. Lagaros, V. Plevris and M. Papadrakakis, "Reliability Based Robust Design Optimization of Steel Structures", International Journal for Simulation and Multidisciplinary Design Optimization, 1(1), pp. 19–29, 2007.

Abstract:
In this work the uncertainty of a structural system is taken into account in the framework of a structural Reliability based Robust Design Optimization (RRDO) formulation where probabilistic constraints are incorporated into the robust design optimization formulation. A robust design optimization problem is formulated as a multi-criteria optimization problem. The Pareto front representing the solution of the RRDO problem is composed by designs with a state of robustness, since their performance is the least sensitive to the variability of the uncertain variables. The cross section dimensions together with other structural parameters, such as the modulus of elasticity, the yield stress and the applied loading, are considered as random variables. For the solution of the RRDO problem, the non-dominant Cascade Evolutionary Algorithm is employed combined with a weighted Tchebycheff metric.

Keywords:
Probabilistic constraints; robust design optimization; cascade evolutionary algorithms; Monte Carlo simulation.