Robustness analysis of trusses with separable load and structural uncertainties
Robustness analysis of trusses with separable load and structural uncertainties
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DOI：
10.1016/j.ijsolstr.2005.06.088
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发表时间：
2006-05
影响因子：
3.6
通讯作者：
Y. Kanno;I. Takewaki
中科院分区：
文献类型：
--
作者：
Y. Kanno;I. Takewaki
本文讨论了在构件刚度和外力不确定的情况下，作为结构鲁棒性指标之一的桁架鲁棒函数的评估技术。利用不确定性的二次嵌入和s过程，构造了一个具有鲁棒性函数下界的拟凸优化问题。为了得到拟凸优化问题的全局最优解，提出了求解有限个半定规划问题的二分法。计算了各种不确定情况下桁架鲁棒性函数的下界。
This paper discusses evaluation techniques of the robustness function of trusses, which is regarded as one of measures of structural robustness, under the uncertainties of member stiffnesses and external forces. By using quadratic embedding of the uncertainty and the S-procedure, we formulate a quasiconvex optimization problem which provides lower bounds of the robustness functions. A bisection method is proposed, where we solve a finite number of semidefinite programming problems in order to obtain a global optimal solution to the proposed quasiconvex optimization problem. The lower bounds of the robustness functions are computed for various trusses under several uncertainty circumstances.