Optimal Design of Trusses Under a Nonconvex Global Buckling Constraint

被引：69

作者：

Ben-Tal, Aharon ^{[2
]}

Jarre, Florian ^{[3
]}

Kocvara, Michal ^{[1
]}

Nemirovski, Arkadi ^{[2
]}

Zowe, Jochem ^{[1
]}

机构：

[1] Univ Erlangen Nurnberg, Inst Appl Math, D-91058 Erlangen, Germany

[2] Technion Israel Inst Technol, Fac Ind Engn & Management, IL-32000 Haifa, Israel

[3] Univ Notre Dame, Dept Math, Notre Dame, IN 46556 USA

来源：

OPTIMIZATION AND ENGINEERING | 2000年 / 1卷 / 02期

关键词：

truss design; buckling; nonconvex semidefinite programming;

D O I：

10.1023/A:1010091831812

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

We propose a novel formulation of a truss design problem involving a constraint on the global stability of the structure due to the linear buckling phenomenon. The optimization problem is modelled as a nonconvex semidefinite programming problem. We propose two techniques for the numerical solution of the problem and apply them to a series of numerical examples.

引用

页码：189 / 213

页数：25

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