Topology Optimization Method Using SIMP Combined with Evolutionary Deletion of Elements

被引：0

作者：

Xu Z. ^{[1
]}

Li D. ^{[1
]}

Zhang Z. ^{[1
]}

Fan W. ^{[1
]}

Xu E. ^{[2
]}

机构：

[1] College of Mechanical and Vehicle Engineering, Chongqing University, Chongqing

[2] Dongfeng Motor Corporation of Liuzhou, Liuzhou

来源：

Jisuanji Fuzhu Sheji Yu Tuxingxue Xuebao/Journal of Computer-Aided Design and Computer Graphics | 2023年 / 35卷 / 03期

关键词：

element filtering; evolutionary deletion; gray-scale elements; solid isotropic microstructures with penalization; topology optimization;

D O I：

10.3724/SP.J.1089.2023.19352

中图分类号：

学科分类号：

摘要：

Solid isotropic microstructures with penalization (SIMP) can be used to solve the continuum topology optimization problem. Due to the existence of sensitivity or density filtering in SIMP, gray-scale elements will appear in the optimization results, which affects the clarity of the structure. In order to solve this problem, SIMP combined with evolutionary deletion of elements is proposed using the idea of evolutionary structural optimization. A process of evolutionary deletion of elements is added into SIMP method, elements deletion threshold is determined by the average element density and reduction factor. Sigmoid function is introduced to define a reduction factor which contains two parameters, so that the gray-scale elements can be gradually removed during the process. After discussing the influence of parameters on the reduction factor, the range of parameters is determined by taking the MBB beam as an example. SIMP combined with element evolutionary deletion is applied to numerical examples such as MBB beam and cantilever beam, it is proved that the method can be combined with sensitivity filtering, density filtering, and Heaviside projection, which shows good applicability. In addition, this method suppresses the gray-scale elements in the SIMP method effectively, and improves the efficiency. © 2023 Institute of Computing Technology. All rights reserved.

引用

页码：482 / 490

页数：8

共 23 条

[1]

Rietz A., Sufficiency of a finite exponent in SIMP (power law) methods, Structural and Multidisciplinary Optimization, 21, 2, pp. 159-163, (2001)

[2]

Xie Y M, Steven G P., A simple evolutionary procedure for structural optimization, Computers & Structures, 49, 5, pp. 885-896, (1993)

[3]

Chu D N, Xie Y M, Hira A, Et al., Evolutionary structural optimization for problems with stiffness constraints, Finite Elements in Analysis and Design, 21, 4, pp. 239-251, (1996)

[4]

Suzuki K, Kikuchi N., A homogenization method for shape and topology optimization, Computer Methods in Applied Mechanics and Engineering, 93, 3, pp. 291-318, (1991)

[5]

Diaz A R, Bendsoe M P., Shape optimization of structures for multiple loading conditions using a homogenization method, Structural Optimization, 4, 1, pp. 17-22, (1992)

[6]

Sethian J A, Wiegmann A., Structural boundary design via level set and immersed interface methods, Journal of Computational Physics, 163, 2, pp. 489-528, (2000)

[7]

Bendsoe M P, Sigmund O., Topology, optimization: theory, methods, and applications, (2004)

[8]

Sigmund O, Petersson J., Numerical instabilities in topology optimization: a survey on procedures dealing with checkerboards, mesh-dependencies and local minima, Structural Optimization, 16, 1, pp. 68-75, (1998)

[9]

Sigmund O., On the design of compliant mechanisms using topology optimization, Mechanics of Structures and Machines, 25, 4, pp. 493-524, (1997)

[10]

Sigmund O., Design of material structures using topology optimization, (1994)

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