Journal of South China University of Technology(Natural Science) >

2024 , Vol. 52 >Issue 3: 93 - 101

DOI: https://doi.org/10.12141/j.issn.1000-565X.230117

Mechanical Engineering

Research on Topology Optimization of Compliant Mechanisms Based on Level Set Band Method

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  • 1.School of Civil Engineering and Transportation/State Key Laboratory of Subtropical Building and Urban Science，South China University of Technology，Guangzhou 510640，Guangdong，China
    2.School of Mechanical and Electrical Engineering，Guangdong Polytechnic Normal University，Guangzhou 510665，Guangdong，China
    3.School of Mechanical Engineering，Yanshan University，Qinhuangdao 066004，Hebei，China
    4.State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources，North China Electric Power University，Beijing 102206，China
魏鹏（1978-），男，副教授，博士生导师，主要从事计算力学和结构拓扑优化研究。E-mail： ctpwei@scut.edu.cn

Received date: 2023-08-14

  Online published: 2023-08-16

Supported by

the National Key Research and Development Program of China(2020YFB1709401);

the National Natural Science Foundation of China(12072114);

the Guangdong Basic and Applied Basic Research Foundation(2023A1515012830);

the Fund Program of Guangdong Key Laboratory of Modern Civil Engineering Technology(2021B1212040003)

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Abstract

The level set method uses a zero level set of the implicit level set function to describe the structure boundary in topology optimization problems. Since it can conveniently express structural topological changes and keep the structure boundary clear and smooth, the level set method has quickly become one of the important methods in the field of topology optimization. However, due to the discontinuity of topological changes during the optimization process, the level set method is prone to facing problems such as numerical instability and initial design dependence. In recent years, the level set band method has been proposed to effectively improve this phenomenon and has become an important means to improve the topological expression ability of the level set methods. This paper introduced the level set band into the parameterized level set-based topology optimization methods, and studied its application in compliant mechanism optimization design problems. The level set band method introduces a level set band area near the zero level set of the level set function. The level set function interpolation can be used to obtain the material density continuously distributed in the [0,1] interval within the bandwidth range. During the optimization process, the material density within the bandwidth range can gradually converge to a 0-1 distribution by gradually reducing the of the level set bandwidth. This method combines the advantages of the variable density method to maintain continuous material density changes during the optimization process, which can improve the stability of the parameterized level set method, obtain better objective function values, and effectively evaluate the initial design dependence of the level set method. This paper verified the effectiveness of the proposed method by studying various compliant mechanism optimization examples from the aspects of different initial designs, irregular design domain, geometric nonlinearity, etc. The optimization results show that the proposed method has good applicability for complex design problems in practical engineering.

Key words： topology optimization; compliant mechanism; parametrized level set method; level set band method; geometrical nonlinearity

Cite this article

WEI Peng, HE Lei, XU Weipeng, et al . Research on Topology Optimization of Compliant Mechanisms Based on Level Set Band Method[J]. Journal of South China University of Technology(Natural Science), 2024 , 52(3) : 93 -101 . DOI: 10.12141/j.issn.1000-565X.230117

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