重庆大学学报2026，Vol.49Issue(8)：1-11,11.DOI:10.11835/j.issn.1000-582X.2024.288
考虑载荷不确定性的加筋板结构鲁棒性布局优化
Robust layout optimization of stiffened plate structures under load uncertainty
摘要
Abstract
This paper proposes a robust structural layout optimization method for stiffened plate structures under load uncertainty,enabling the simultaneous optimization of stiffener layout and size.Based on the ground structure method,a robust optimization model is established in which the radii of circular beam sections representing the stiffener are selected as design variables,the total structural mass is imposed as a constraint,and a weighted combination of the expectation and variance of structural compliance under uncertain loading is taken as the objective function.The analytical sensitivity formulations of the expectation and variance of structural compliance,as well as the mass constraint with respect to the design variables,are deduced in detail.The method of moving asymptotes(MMA)is adopted to solve the proposed robust layout optimization problem.Finally,two numerical examples are performed to verify the effectiveness and applicability of the proposed method.关键词
加筋板/加强筋布局/基结构法/载荷不确定性/鲁棒性优化Key words
stiffened plates/stiffener layout/ground structure method/load uncertainty/robust optimization分类
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王选,盛子璐,陈翔,李志轩..考虑载荷不确定性的加筋板结构鲁棒性布局优化[J].重庆大学学报,2026,49(8):1-11,11.基金项目
中国博士后科学基金资助项目(2022M712358) （2022M712358）
中央高校科研业务费资助项目(JZ2022HGTB0291).Supported by the China Postdoctoral Science Foundation(2022M712358)and the Fundamental Research Funds for the Central Universities(JZ2022HGTB0291). （JZ2022HGTB0291）
