Sequential Semidefinite Program for Maximum Robustness Design of Structures under Load Uncertainty
Sequential Semidefinite Program for Maximum Robustness Design of Structures under Load Uncertainty
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DOI：
10.1007/s10957-006-9102-z
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发表时间：
2006-11
影响因子：
1.9
通讯作者：
Y. Kanno;I. Takewaki
中科院分区：
文献类型：
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作者：
Y. Kanno;I. Takewaki
基于鲁棒性函数，提出了一种结构鲁棒优化方案和优化算法。在基于信息缺口模型的外力不确定性条件下，鲁棒性函数的最大化问题被表示为一个具有无穷多个约束的优化问题。利用不确定性的二次嵌入技术和S-过程，将问题转化为一个非线性半定规划问题。提出了一种具有全局收敛性的序列半定规划方法。通过数值算例表明，各种线弹性结构的优化设计都可以毫不困难地找到。
A robust structural optimization scheme as well as an optimization algorithm are presented based on the robustness function. Under the uncertainties of the external forces based on the info-gap model, the maximization of the robustness function is formulated as an optimization problem with infinitely many constraints. By using the quadratic embedding technique of uncertainty and theS-procedure, we reformulate the problem into a nonlinear semidefinite programming problem. A sequential semidefinite programming method is proposed which has a global convergent property. It is shown through numerical examples that optimum designs of various linear elastic structures can be found without difficulty.