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For optimization design problems with epistemic uncertainty, a novel reliability-based design optimization method for structure using evidence theory is proposed. Firstly, we demonstrate a new approximate gradient for the reliability measures without gathering any excess information, and then the high-efficiency gradient-based optimization algorithm can be used to solve the problem; secondly, the surrogates of constraints are always updated along with the variation of design point, which can efficiently and accurately calculate the reliability measure of the constrains; finally, three engineer design examples show that the proposed method balances the computational efficiency and accuracy of the optimization procedure.
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Zhang et al. (2016) studied this question.
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