Robust truss topology design via semidefinite programming

作     者：Ben-Tal, A Nemirovski, A 

作者机构：Technion Israel Inst Technol Fac Ind Engn & Management IL-32000 Haifa Israel 

出 版 物：《SIAM JOURNAL ON OPTIMIZATION》 (工业与应用数学会最优化杂志)

年 卷 期：1997年第7卷第4期

页      面：991-1016页

核心收录：

学科分类：07[理学] 070104[理学-应用数学] 0701[理学-数学] 

主　　题：structural optimization truss topology design robustness semidefinite programming interior point methods 

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.