载荷不确定的周期性结构稳健拓扑优化

提出了一种考虑周期性几何约束的结构稳健拓扑优化设计方法。针对线弹性体结构,提出了载荷不确定性条件下周期性结构稳健拓扑优化模型;推导了周期性结构柔度均值与方差的敏度数表达式,并基于软删双向渐进结构优化法提出了载荷不确定性条件下的周期性结构稳健拓扑优化设计方法。2个不同约束条件下的实例表明:本文提出的优化模型稳定性较好;考虑载荷不确定性得到的结构与确定性载荷下得到的结构有很大的区别,且稳健性优化设计得到的结构更加稳定。

Robust topology optimization of periodic structures under uncertain loading

This paper proposes a method of structural robust topology optimization under the periodicity constraint.A robust topology optimization model for periodic structures is proposed for linear elastic structures.Then,the formula of the sensitivity number is developed,and the robust topology optimal design of periodic structure under uncertain loadings is performed using soft-kill bi-directional evolutionary structural optimization method.Two numerical examples under different constraints demonstrate the stability of the proposed method.There are significant differences between the optimal structures under deterministic loads and the optimal structures under uncertain loads,and the robust design is more stable than the deterministic design.