Topological control for 2D minimum compliance topology optimization using SIMP method

doi:10.1007/s00158-021-03124-6

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	Topological control for 2D minimum compliance topology optimization using SIMP method
	Q. L. Wang; H. T. Han; C. Wang and Z. Y. Liu
刊名	Structural and Multidisciplinary Optimization
	2022
卷号	65 期号:1 页码:16
ISSN号	1615-147X
DOI	10.1007/s00158-021-03124-6
英文摘要	Topological constraints have recently been introduced to structural topology optimization by the BESO method. However, for the classical and widely used SIMP-type optimization method, an implicit and continuously changing variable cannot express the topological characteristics directly during the optimization process. This is partly caused by missing well-defined boundaries to compute topological characteristics. To introduce topological constraints into the SIMP-type method, an auxiliary discrete expression of structural boundaries through the volume preservation projection method is used to compute topological characteristics, that is, the genus or number of holes. A topological control methodology based on persistence homology, a numerical calculation idea derived from topological data analysis, is introduced in this paper to implement topological constraints. With the help of the design space progressive restriction method, the proposed methodology shows that for the 2D static minimum compliance optimization problem, the inequality constraints on the number of holes can be satisfied. The effectiveness of the proposed topological control method for the SIMP-type framework is illustrated by several numerical examples.
URL标识	查看原文
语种	英语
内容类型	期刊论文
源URL	[http://ir.ciomp.ac.cn/handle/181722/67181]
专题	中国科学院长春光学精密机械与物理研究所
推荐引用方式 GB/T 7714	Q. L. Wang,H. T. Han,C. Wang and Z. Y. Liu. Topological control for 2D minimum compliance topology optimization using SIMP method[J]. Structural and Multidisciplinary Optimization,2022,65(1):16.
APA	Q. L. Wang,H. T. Han,&C. Wang and Z. Y. Liu.(2022).Topological control for 2D minimum compliance topology optimization using SIMP method.Structural and Multidisciplinary Optimization,65(1),16.
MLA	Q. L. Wang,et al."Topological control for 2D minimum compliance topology optimization using SIMP method".Structural and Multidisciplinary Optimization 65.1(2022):16.