Topology optimization of plane structures using smoothed particle hydrodynamics method

被引：22

作者：

Lin, Jun ^{[1
]}

Guan, Yanjin ^{[1
]}

Zhao, Guoqun ^{[1
]}

Naceur, Hakim ^{[2
]}

Lu, Ping ^{[3
]}

机构：

[1] Shandong Univ, Key Lab Liquid Solid Struct Evolut & Proc Mat, Minist Educ, Jinan 250061, Peoples R China

[2] Univ Valenciennes, Lab LAMIH, UMR 8201, F-59313 Valenciennes, France

[3] Huaqiao Univ, Coll Mech Engn & Automat, Xiamen 361021, Peoples R China

来源：

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING | 2017年 / 110卷 / 08期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

topology optimization; smoothed particle hydrodynamics; meshless method; solid isotropic material with penalization; GEOMETRICALLY NONLINEAR STRUCTURES; DESIGN; SPH;

D O I：

10.1002/nme.5427

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

This paper presents an alternative topology optimization method based on an efficient meshless smoothed particle hydrodynamics (SPH) algorithm. To currently calculate the objective compliance, the deficiencies in standard SPH method are eliminated by introducing corrective smoothed particle method and total Lagrangian formulation. The compliance is established relative to a designed density variable at each SPH particle which is updated by optimality criteria method. Topology optimization is realized by minimizing the compliance using a modified solid isotropic material with penalization approach. Some numerical examples of plane elastic structure are carried out and the results demonstrate the suitability and effectiveness of the proposed SPH method in the topology optimization problem. Copyright (C) 2016 John Wiley & Sons, Ltd.

引用

页码：726 / 744

页数：19

共 35 条

[1] Efficient topology optimization in MATLAB using 88 lines of code [J].

Andreassen, Erik ;

Clausen, Anders ;

Schevenels, Mattias ;

Lazarov, Boyan S. ;

Sigmund, Ole .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2011, 43 (01) :1-16

[2]

[Anonymous], 2009, PROGR MESHLESS METHO

[3]

Belytschko T, 2013, INT J NUMERICAL METH, V48, P1359

[4]

Bendse Martin P., 1989, Struct Optim, V1, P193, DOI [DOI 10.1007/BF01650949, 10.1007/BF01650949]

[5]

Bendse MP., 2003, Topology optimization: theory, methods, and applications, V2

[6] GENERATING OPTIMAL TOPOLOGIES IN STRUCTURAL DESIGN USING A HOMOGENIZATION METHOD [J].

BENDSOE, MP ;

KIKUCHI, N .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 1988, 71 (02) :197-224

[7] Stiffness design of geometrically nonlinear structures using topology optimization [J].

Buhl, T ;

Pedersen, CBW ;

Sigmund, O .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2000, 19 (02) :93-104

[8]

Chen JK, 1999, INT J NUMER METH ENG, V46, P231, DOI 10.1002/(SICI)1097-0207(19990920)46:2<231::AID-NME672>3.0.CO

[9]

2-K

[10] Topology design optimization of geometrically non-linear structures using meshfree method [J].

Cho, Seonho ;

Kwak, Juho .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2006, 195 (44-47) :5909-5925

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