This paper presents an ecient approach for robusttopologydesignoptimization(RTO) which is based on polynomial dimensionaldecomposition(PDD) method. The level-set functions are adopted to facilitate the topology ch...
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This paper presents an ecient approach for robusttopologydesignoptimization(RTO) which is based on polynomial dimensionaldecomposition(PDD) method. The level-set functions are adopted to facilitate the topology changes and shape variations. The topological derivatives of the functionals of robustness root in the concept of deterministic topological derivatives and dimensionaldecomposition of stochastic responses of multiple random inputs. The PDD for calculating robust topological derivatives consists of only a number of evaluations of the deterministic topological derivatives at the specied points in the stochastic space and provides eective and ecient design sensitivity analyses for RTO. The numerical examples demonstrate the eectiveness of the present method.
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