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STOCHASTIC RESPONSE SURFACE METHOD FOR ROBUST DESIGN

In this paper, one can propose a method which takes into account the propagation of uncertainties in the finite element models in a multiobjective optimization procedure. This method is based on the coupling of stochastic response surface method (SRSM) and a genetic algorithm of NSGA type. The SRSM is based on the use of stochastic finite element method (SFEM) via the use of the expansion of the polynomial chaos (PC). Thus, one can avoid the use of Monte Carlo (MC) simulation whose costs become prohibitive in the optimization problems, especially when the finite element models are large and with a considerable number of design parameters. The objective of this study is on one hand to quantify efficacious the effects of these uncertainties on the responses variability which one wishes to optimize and on the other hand, to calculate solutions which are both optimal and robust with respect to the uncertainties of design parameters. The interest of the proposed robust design methodology and its performances are highlighted on mechanical examples resulting from the numerical simulation.