考虑依赖于结构形状的载荷的连续体结构拓扑优化

Topological optimization of continuum structures with shape-dependent loading

本文提出了一种基于SIMP密度函数插值模型,考虑依赖于结构形状的载荷,以给定材料用量为约束条件,以最小柔顺度为设计目标的拓扑优化方法—OC-LE法。文中考虑的载荷随结构拓扑的变化而渐进变化,载荷与拓扑变量交替更新,计算简单且易于程序实现。同时文中给出的二维连续体结构拓扑优化算例,向三维连续体的扩展也比较容易。

A new approach called OC-LE method is presented in this paper for optimum topology design with shape-dependent loading.The OC-LE method based on the SIMP material model can deal with topological optimization problems which consist in minimizing the compliance of the structure subjected to a constraint on the volume.The loads considered in the paper are shape-dependent,and update alternatively with the topology.Some 2D examples are presented and the extension to 3D is straightforward.