Inequality constraint on the maximum genus for 3D structural compliance topology optimization

doi:10.1038/s41598-022-20248-x

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	Inequality constraint on the maximum genus for 3D structural compliance topology optimization
	H. T. Han; C. Wang; T. X. Zuo and Z. Y. Liu
	2022
发表期刊	Scientific Reports
ISSN	2045-2322
卷号	12 期号:1 页码:14
摘要	Structural topology constraints in topology optimization are an important research topic. The structural topology is characterized by the topological invariance of the number of holes. The holes of a structure in 3D space can be classified as internally enclosed holes and external through-holes (or tunnels). The genus is the number of tunnels. This article proposes the quotient set design variable method (QSDV) to implement the inequality constraint on the maximum genus allowed in an optimized structure for 3D structural topology optimization. The principle of the QSDV is to classify the changing design variables according to the connectivity of the elements in a structure to obtain the quotient set and update the corresponding elements in the quotient set to meet the topological constraint. Based on the standard relaxation algorithm discrete variable topology optimization method (DVTOCRA), the effectiveness of the QSDV is illustrated in numerical examples of a 3D cantilever beam.
DOI	10.1038/s41598-022-20248-x
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收录类别	sci
语种	英语
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文献类型	期刊论文
条目标识符	http://ir.ciomp.ac.cn/handle/181722/66754
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	H. T. Han,C. Wang,T. X. Zuo and Z. Y. Liu. Inequality constraint on the maximum genus for 3D structural compliance topology optimization[J]. Scientific Reports,2022,12(1):14.
APA	H. T. Han,C. Wang,&T. X. Zuo and Z. Y. Liu.(2022).Inequality constraint on the maximum genus for 3D structural compliance topology optimization.Scientific Reports,12(1),14.
MLA	H. T. Han,et al."Inequality constraint on the maximum genus for 3D structural compliance topology optimization".Scientific Reports 12.1(2022):14.

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