计算力学学报2024，Vol.41Issue(4)：611-617,7.DOI:10.7511/jslx20230125002
基于离散变量的多材料结构拓扑优化设计
Topology optimization design of multi-material structure based on discrete variables
摘要
Abstract
Topology optimization of multi-material structures has a larger design space and shows great design potential and application prospect than optimization of single material structures optimization.This paper studies the topology optimization of multi-material structures based on discrete design variables,and obtains lightweight and efficient structure designs by establishing an effective design optimization method.Firstly,according to the characteristics of discrete variables,a multi-material structure topology optimization model is established.The sequence approximate integer programming subproblem is constructed from the sensitivity information of the constraint function and objective function with discrete variables.The move limit strategy is used to limit the change of design variables to ensure the accuracy of the integer programming subproblem.In order to overcome the combinatorial complexity of discrete variables,the canonical relaxation algorithm with polynomial complexity is employed to solve it efficiently(which is equivalent to the classical continuous variable algorithm).In this paper,the optimization problems of the minimum compliance and the maximum heat transfer efficiency of multi-material structures are utilized to study the effectiveness of the discrete variable method.Numerical examples show that the discrete variable optimization method can obtain a stable iterative convergence of multi-material topology design,and the material interface in the optimization configuration is clear,effectively avoiding the appearance of fuzzy region.关键词
拓扑优化/离散设计变量/整数规划/多材料结构Key words
topology optimization/discrete design variable/integer programming/multi-material structure分类
数理科学引用本文复制引用
刘宏亮,王成,梁缘..基于离散变量的多材料结构拓扑优化设计[J].计算力学学报,2024,41(4):611-617,7.基金项目
国家自然科学基金(12002218 （）
12202092) （）
工业装备结构分析国家重点实验室开放基金(GZ22108)资助项目. （GZ22108）
