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

被引：0

作者：

Wei P. ^{[1
]}

He L. ^{[1
]}

Xu W. ^{[1
]}

Chen Q. ^{[2
]}

Liu J. ^{[3
]}

Long K. ^{[4
]}

机构：

[1] School of Civil Engineering and Transportation, State Key Laboratory of Subtropical Building and Urban Science, South China University of Technology, Guangdong, Guangzhou

[2] School of Mechanical and Electrical Engineering, Guangdong Polytechnic Normal University, Guangdong, Guangzhou

[3] School of Mechanical Engineering, Yanshan University, Hebei, Qinhuangdao

[4] State Key Laboratory of Alternate Electrical Power System with Renewable Energy Sources, North China Electric Power University, Beijing

来源：

Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science) | 2024年 / 52卷 / 03期

基金：

中国国家自然科学基金;

关键词：

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

D O I：

10.12141/j.issn.1000-565X.230117

中图分类号：

学科分类号：

摘要：

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. © 2024 South China University of Technology. All rights reserved.

引用

页码：93 / 101

页数：8

共 19 条

[1] HOWELL L L．, Compliant mechanisms, (2001)
[2] BENDSOE M P，, SIGMUND O．, Material interpolation schemes in topology optimization, Archive of Applied Mechanics, 69, 9, pp. 635-654, (1999)
[3] HUANG X, XIE Y M．, Convergent and mesh-independent solutions for the bi-directional evolutionary structural optimization method ［J］, Finite Elements in Analysis and Design, 43, 14, pp. 1039-1049, (2007)
[4] OSHER S，, SETHIAN J A．, Fronts propagating with curvature-dependent speed：algorithms based on Hamilton-Jacobi formulations ［J］, Journal of Computational Physics, 79, 1, pp. 12-49, (1988)
[5] SETHIAN J A，, WIEGMANN A．, Structural boundary design via level set and immersed interface methods ［J］, Journal of Computational Physics, 163, 2, pp. 489-528, (2000)
[6] (2014)
[7] ANANTHASURESH G K，, KOTA S，, KIKUCHI N．, Strategies for systematic synthesis of compliant MEMS, Proceedings of the 1994 ASME Winter Annual Meeting，Symposium on MEMS：Dynamics Systems and Control, pp. 677-686, (1994)
[8] SIGMUND O．, On the design of compliant mechanisms using topology optimization ［J］, Journal of Structural Mechanics, 25, 4, pp. 493-524, (1997)
[9] LI Zhao-kun, ZHANG Xian-min, Reliability-based topology optimization of compliant micro-gripper with geometrical nonlinearity, Journal of South China University of Technology （Natural Science Edition）, 36, 8, pp. 110-116, (2008)
[10] ZHANG Xian-min, HU Kai, WANG Nian-feng, Design of thermal-mechanical coupling multiple-material compliant mechanisms based on parallel strategy, Journal of South China University of Technology（Natural Science Edition）, 44, 10, pp. 22-29, (2016)

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