A note on the min-max formulation of stiffness optimization including non-zero prescribed displacements

被引：28

作者：

Klarbring, Anders ^{[1
]}

Stromberg, Niclas ^{[2
]}

机构：

[1] Linkoping Univ, Dept Management & Engn, Inst Technol, S-58183 Linkoping, Sweden

[2] Jonkoping Univ, Dept Mech Engn, S-55111 Jonkoping, Sweden

来源：

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION | 2012年 / 45卷 / 01期

关键词：

Stiffness optimization; Non-zero prescribed displacements; Saddle point problem; Sensitivity analysis; TOPOLOGY OPTIMIZATION;

D O I：

10.1007/s00158-011-0674-3

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

The present theoretical note shows how a natural objective function in stiffness optimization, including both prescribed forces and non-zero prescribed displacements, is the equilibrium potential energy. It also shows how the resulting problem has a saddle point character that may be utilized when calculating sensitivities.

引用

页码：147 / 149

页数：3

共 7 条

[1]

[Anonymous], 2013, Topology optimization: theory, methods, and applications

[2] Topology optimization of fluids in Stokes flow [J].

Borrvall, T ;

Petersson, J .

INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN FLUIDS, 2003, 41 (01) :77-107

[3]

Christensen PW, 2009, INTRO STRUCTURAL OPT

[4]

Clarke F.H, 1983, OPTIMIZATION NONSMOO

[5] Topology optimization of flow networks [J].

Klarbring, A ;

Petersson, J ;

Torstenfelt, B ;

Karlsson, M .

COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2003, 192 (35-36) :3909-3932

[6] A general formulation of structural topology optimization for maximizing structural stiffness [J].

Niu, Fei ;

Xu, Shengli ;

Cheng, Gengdong .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2011, 43 (04) :561-572

[7] Design objectives with non-zero prescribed support displacements [J].

Pedersen, Pauli ;

Pedersen, Niels L. .

STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2011, 43 (02) :205-214

← 1 →