基于自适应有限元的双向渐进结构优化法

将自适应有限元分析方法和双向渐进结构优化法结合,提出一种改进的Delaunay网格剖分方法和综合考虑应力及网格密度两个因素的网格删除准则。编制了基于自适应有限元分析的双向渐进结构优化法流程图。通过典型算例分析,证明这种基于自适应有限元的双向渐进结构优化法可行、有效。

Bi-directional Evolutionary Structural Optimization Method Based on Adaptive Finite Element Analysis

In this paper,we present an bi-directional evolutionary structural optimization (BESO) method for topological optimization based on adaptive FEA.This robust method for topology optimization contains two major steps: adaptive mesh refinement and the removal of mesh,taking both stress and mesh density into comprehensive consideration in specific sub-region.For adaptive mesh refinement,we put forward an improved Delaunay mesh dissection method, a kind which can deal with refinement boundary element method more easily without using recursive invocation. The flow chart of this method is compiled. Through a typical example analysis, it prove that such a method is feasible and effective.