计算力学学报2011，Vol.28Issue(6)：821-826,6.
考虑非概率可靠性的结构柔顺度拓扑优化设计
A compliance based topology optimization design of structures considering non-probabilistic reliability
摘要
Abstract
In practical engineering, existing uncertainties may gy optimization. Based on the multi-ellipsoid convex model play an important role in structural topolofor 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.关键词
凸模型/非概率可靠性/柔顺度/拓扑优化/Minimax问题Key words
convex model/non-probabilistic reliability/compliance/topology optimization/minimax problem分类
数理科学引用本文复制引用
罗阳军,亢战,蔡坤..考虑非概率可靠性的结构柔顺度拓扑优化设计[J].计算力学学报,2011,28(6):821-826,6.基金项目
国家自然科学基金 （）
陕西省自然科学基金 （）
西北工业大学基础研究基金（JC200936）资助项目. （）
