湖南大学学报（自然科学版）2026，Vol.53Issue(5)：22-33,12.DOI:10.16339/j.cnki.hdxbzkb.2026039
两材料自由曲面壳形状-拓扑联合优化研究
Research on shape-topology joint optimization of free-form surface shells with two materials
摘要
Abstract
This paper focuses on the free-form surface shell structures composed of two materials and considers the coupling effect between shape and material distribution.By employing a shape-topology joint optimization algorithm,the shape optimization step and topology optimization step are iterated alternately to obtain the optimal shape and the optimal materials distribution for the two-material free-form surface shell.Taking the four-corner simply supported shell and the four-edge simply supported shell as the research objects,this study focuses on analyzing the influence of the elastic modulus ratio(E1∶E2)and volume ratio(V1∶V2)of the two materials on the optimization results.The research results show that the elastic modulus ratio and volume ratio of the two materials have a significant impact on the structural morphology and material distribution.As the elastic modulus ratio decreases,the curvature of the optimal surface decreases,and the high-modulus material gathers in the main load-bearing parts of the structure;as the volume ratio increases,the optimal surface tends to be gentle.When the volume ratio is less than 5∶5,the high-modulus material is mainly distributed in the main load-bearing parts of the structure;when the volume ratio is greater than 5∶5,the high-modulus material is also distributed along the connecting areas between the main load-bearing parts,forming an effective force transmission path.关键词
自由曲面壳体/两种材料/形状-拓扑联合优化/材料参数影响Key words
free-form surface shells/two materials/shape-topology joint optimization/influence of material pa-rameters分类
建筑与水利引用本文复制引用
伞冰冰,王禄杰,邱冶,俞钱辉..两材料自由曲面壳形状-拓扑联合优化研究[J].湖南大学学报（自然科学版）,2026,53(5):22-33,12.基金项目
国家自然科学基金资助项目(51978240),National Natural Science Foundation of China(51978240) （51978240）
