Robust truss topology design via semidefinite programming

被引：256

作者：

Ben-Tal, A ^{[1
]}

Nemirovski, A ^{[1
]}

机构：

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

来源：

SIAM JOURNAL ON OPTIMIZATION | 1997年 / 7卷 / 04期

关键词：

structural optimization; truss topology design; robustness; semidefinite programming; interior point methods;

D O I：

10.1137/S1052623495291951

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present and motivate a new model of the truss topology design problem, where the rigidity of the resulting truss with respect both to given loading scenarios and small "occasional" loads is optimized. It is shown that the resulting optimization problem is a semidefinite program. We derive and analyze several equivalent reformulations of the problem and present illustrative numerical examples.

引用

页码：991 / 1016

页数：26

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