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发表时间：2022-10-06

发表刊物：计算力学学报

卷号：28

期号：6

页面范围：821-826

ISSN号：1007-4708

摘要：In practical engineering, existing uncertainties may play an important
   role in structural topology optimization. Based on the multi-ellipsoid
   convex model for uncertainties and the definition of the
   non-probabilistic reliability index, a mathematical model for
   non-probabilistic reliability based topology optimization is proposed.
   The optimization objective is to minimax the structural compliance with
   the constraints on the material volume and the bounds of uncertainties.
   The single loop strategy combining with the method of moving asymptotes
   is adopted for the solution of the optimization problem. Then the
   meanings of the proposed topology optimization is revealed by a
   classical example of size optimization design, namely, the
   non-probabilistic topology optimization could yield more economical
   material layout than the deterministic optimization under equal
   reliability requirements. Numerical investigations illustrate the
   validity of the present model as well as the proposed numerical
   techniques.

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