Reliability-Based Topology Optimization of Fail-Safe Structures Using Moving Morphable Bars  

作　　者：Xuan Wang Yuankun Shi Van-Nam Hoang Zeng Meng Kai Long Yuesheng Wang 

机构地区：[1]School of Mechanical Engineering,Tianjin University,Tianjin,300072,China [2]Department of Engineering Mechanics,Hefei University of Technology,Hefei,230009,China [3]Mechanical Engineering Institute,Vietnam Maritime University,Hai Phong City,180000,Vietnam [4]State Key Laboratory for Alternate Electrical Power System with Renewable Energy Sources,North China Electric Power University,Beijing,102206,China

出　　处：《Computer Modeling in Engineering & Sciences》2023年第9期3173-3195,共23页工程与科学中的计算机建模（英文）

基　　金：supported by the National Natural Science Foundation of China(Grant No.12172114);Natural Science Foundation of Anhui Province(Grant No.2008085QA21);Fundamental Research Funds for the Central Universities(Grant No.JZ2022HGTB0291);China Postdoctoral Science Foundation(Grant No.2022M712358).

摘　　要：This paper proposes an effective reliability design optimizationmethod for fail-safe topology optimization(FSTO)considering uncertainty based on the moving morphable bars method to establish the ideal balance between cost and robustness,reliability and structural safety.To this end,a performancemeasure approach(PMA)-based doubleloop optimization algorithmis developed tominimize the relative volume percentage while achieving the reliability criterion.To ensure the compliance value of the worst failure case can better approximate the quantified design requirement,a p-norm constraint approach with correction parameter is introduced.Finally,the significance of accounting for uncertainty in the fail-safe design is illustrated by contrasting the findings of the proposed reliabilitybased topology optimization(RBTO)method with those of the deterministic design method in three typical examples.Monte Carlo simulation shows that the relative error of the reliability index of the optimized structure does not exceed 3%.

关 键 词：Topology optimization fail-safe design uncertainty reliability-based topology optimization moving morphable bars 

分 类 号：O15[理学—数学]