Topological constraints in 2D structural topology optimization

doi:10.1007/s00158-020-02771-5

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	Topological constraints in 2D structural topology optimization
	H. T. Han,Y. C. Guo,S. K. Chen and Z. Y. Liu
	2020
发表期刊	Structural and Multidisciplinary Optimization
ISSN	1615-147X
卷号	63 期号:1 页码:39-58
摘要	One of the straightforward definitions of structural topology optimization is to design the optimal distribution of the holes and the detailed shape of each hole implicitly in a fixed discretized design domain. However, typical numerical instability phenomena of topology optimization, such as the checkerboard pattern and mesh dependence, all take the form of an unexpected number of holes in the optimal result in standard density-type design methods, such as SIMP and ESO. Typically, the number of holes is indirectly controlled by tuning the value of the radius of the filter operator during the optimization procedure, in which the choice of the value of the filter radius is one of the most opaque and confusing issues for a beginner unfamiliar with the structural topology optimization algorithm. Based on the soft-kill bi-directional evolutionary structural optimization (BESO) method, an optimization model is proposed in this paper in which the allowed maximal number of holes in the designed structure is explicitly specified as an additional design constraint. The digital Gauss-Bonnet formula is used to count the number of holes in the whole structure in each optimization iteration. A hole-filling method (HFM) is also proposed in this paper to control the existence of holes in the optimal structure. Several 2D numerical examples illustrate that the proposed method cannot only limit the maximum number of holes in the optimal structure throughout the whole optimization procedure but also mitigate the phenomena of the checkerboard pattern and mesh dependence. The proposed method is expected to provide designers with a new way to tangibly manage the optimization procedure and achieve better control of the topological characteristics of the optimal results.
DOI	10.1007/s00158-020-02771-5
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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/181722/64968
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,Y. C. Guo,S. K. Chen and Z. Y. Liu. Topological constraints in 2D structural topology optimization[J]. Structural and Multidisciplinary Optimization,2020,63(1):39-58.
APA	H. T. Han,Y. C. Guo,S. K. Chen and Z. Y. Liu.(2020).Topological constraints in 2D structural topology optimization.Structural and Multidisciplinary Optimization,63(1),39-58.
MLA	H. T. Han,Y. C. Guo,S. K. Chen and Z. Y. Liu."Topological constraints in 2D structural topology optimization".Structural and Multidisciplinary Optimization 63.1(2020):39-58.

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