考虑非概率可靠性的结构柔顺度拓扑优化设计

实际工程中广泛存在的不确定性可能对结构拓扑设计产生重要影响。基于不确定性的多椭球凸模型描述及非概率可靠性指标的定义，建立了材料体积约束和不确定参数范围约束下、结构柔顺度极小极大化为目标的非概率可靠性拓扑优化数学模型。结合移动渐进线方法，基于单循环策略实现该连续Minimax优化问题的求解。经典算例尺寸优化设计结果说明了...

A compliance based topology optimization design of structures considering non-probabilistic reliability

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.