Explicit 2D topological control using SIMP and MMA in structural topology optimization

doi:10.1007/s00158-022-03405-8

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	Explicit 2D topological control using SIMP and MMA in structural topology optimization
	T. X. Zuo; C. Wang; H. T. Han; Q. L. Wang and Z. Y. Liu
刊名	Structural and Multidisciplinary Optimization
	2022
卷号	65 期号:10 页码:20
ISSN号	1615-147X
DOI	10.1007/s00158-022-03405-8
英文摘要	Structural topology can be measured on the basis of its betti numbers. A fundamental feature of structural topology optimization is that it allows the structural topology to be changed during the optimization process. However, traditional structural topology optimization methods use indirect and nonquantitative approaches to change the structural topology during the optimization procedure. Therefore, these traditional methods leave the detailed implementation of optimization with nonintuitive parameters (e.g., filter radius) to adjust the final topology of optimized results. Choosing a suitable nonintuitive parameter for beginners is not straightforward, and makes the optimization procedure complex when applying structural topology optimization methods to engineering design tasks with a preferred level of complexity (number of structural holes). A 2D structure has two betti numbers, B-0 and B-1, where B-0 and B-1 correspond to the number of independent connected components and the number of holes in the structure, respectively. To solve the aforementioned problems, this paper explicitly quantitatively controls over the number of structural holes within the framework of the solid isotropic material with penalty (SIMP) interpolation of the design variable and the method of moving asymptotes (MMA) optimization algorithm in 2D, thus achieving direct unilateral constraint (constraining the maximum number of structural holes) over structural topology. The framework of SIMP and MMA is a powerful way because of its ability to handle more complex problems. Thus, the proposed topological control method based on SIMP and MMA is useful for structural topology optimization research field. For example, the proposed method is based on triangular meshing discretization of the initial design domain; therefore, irregular design domains can be easily processed, and adaptive meshes can be used to improve the geometric approximation of the design domains. Numerical examples show that the proposed method can effectively control the topology, the maximum number of holes (complexity) of the optimized structure.
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语种	英语
内容类型	期刊论文
源URL	[http://ir.ciomp.ac.cn/handle/181722/66651]
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	T. X. Zuo,C. Wang,H. T. Han,et al. Explicit 2D topological control using SIMP and MMA in structural topology optimization[J]. Structural and Multidisciplinary Optimization,2022,65(10):20.
APA	T. X. Zuo,C. Wang,H. T. Han,&Q. L. Wang and Z. Y. Liu.(2022).Explicit 2D topological control using SIMP and MMA in structural topology optimization.Structural and Multidisciplinary Optimization,65(10),20.
MLA	T. X. Zuo,et al."Explicit 2D topological control using SIMP and MMA in structural topology optimization".Structural and Multidisciplinary Optimization 65.10(2022):20.