Robust design optimization with respect to model and data uncertainties in computational mechanics

Abstract

International audienceIn this paper, a probabilistic approach is proposed to solve the robust design optimization problem of complex dynamical systems not only with respect to system parameters uncertainties but also to model uncertainties. The possible designs are represented by a numerical finite element model whose parameters belong to an admissible set of design parameters. A recent nonparametric probabilistic model of uncertainties is used for taking into account model uncertainties and data uncertainties. The robust design optimization problem is formulated as a multi-objective optimization problem which consist to minimize a cost function including a target with respect to an admissible set of design parameters. The theory is presented followed by a numerical application