沈阳航空航天大学学报2026，Vol.43Issue(3)：53-60,8.DOI:10.3969/j.issn.2095-1248.2026.03.007
填充结构拓扑优化的连续与离散变量法
Continuous and discrete variable methods for topology optimization of infill structures
摘要
Abstract
The performance differences between continuous and discrete variable design methods for topology optimization of infill structures were investigated.Based on local volume constraints,two optimization models were established:a continuous variable model using the SIMP method with the optimality criterion and a discrete variable model using the SAIP method with the canonical relaxation algorithm.Firstly,the fundamental formulations of these methods for topology optimization of infill structures were derived theoretically.Subsequently,numerical examples were utilized to conduct comparative studies from three aspects:optimization performance,clarity of structural topology design,and computational efficiency.Finally,by implementing identical initialization strategies,move limit strategies,and convergence criteria,the external interference in the algorithm was eliminated.The results demonstrate that the optimization time using the SIMP method is approximately 50%of that using the SAIP method;however,the topological designs generated by SIMP exhibit grayscale regions at structural boundaries.In contrast,the SAIP method yields topological designs with clearer boundaries and superior structural configurations,achieving about a 4%reduction in the objective function value.A theoretical reference and basis for the topology optimization design of infill structures is provided.关键词
填充结构/拓扑优化/固体各向同性材料惩罚模型/序列近似整数规划/离散变量法/正则松弛算法Key words
infill structures/topology optimization/SIMP/SAIP/discrete variable method/canonical relaxation algorithm分类
航空航天引用本文复制引用
兰鹏伟,刘宏亮..填充结构拓扑优化的连续与离散变量法[J].沈阳航空航天大学学报,2026,43(3):53-60,8.基金项目
国家自然科学基金(项目编号:12002218) （项目编号:12002218）
辽宁省高校基本科研业务费项目(项目编号:LJ212410143080) （项目编号:LJ212410143080）
工业装备结构分析优化与CAE软件全国重点实验室项目(项目编号:GZ22108). （项目编号:GZ22108）
