RBMDO Using Gaussian Mixture Model-Based Second-Order Mean-Value Saddlepoint Approximation  

作　　者：Debiao Meng Shiyuan Yang Tao Lin Jiapeng Wang Hengfei Yang Zhiyuan Lv 

机构地区：[1]School of Mechanical and Electrical Engineering,University of Electronic Science and Technology of China,Chengdu,611731,China [2]Failure Mechanics&Engineering Disaster Prevention and Mitigation,Key Laboratory of Sichuan Province,Sichuan University,Chengdu,610065,China [3]Yangzhou Yangjie Electronic Technology Co.,Ltd.,Yangzhou,225008,China [4]Sichuan Special Equipment Inspection and Research Institute,Chengdu,610100,China [5]Food Safety Inspection Technology Center of Administration for Market Regulation of Sichuan Province,Chengdu,610017,China

出　　处：《Computer Modeling in Engineering & Sciences》2022年第8期553-568,共16页工程与科学中的计算机建模（英文）

基　　金：support from the National Natural Science Foundation of China(Grant No.52175130);the Sichuan Science and Technology Program(Grant No.2021YFS0336);the China Postdoctoral Science Foundation(Grant No.2021M700693);the 2021 Open Project of Failure Mechanics and Engineering Disaster Prevention,Key Lab of Sichuan Province(Grant No.FMEDP202104);the Fundamental Research Funds for the Central Universities(Grant No.ZYGX2019J035);the Sichuan Science and Technology Innovation Seedling Project Funding Project(Grant No.2021112);the Sichuan Special Equipment Inspection and Research Institute(YNJD-02-2020)are gratefully acknowledged.

摘　　要：Actual engineering systems will be inevitably affected by uncertain factors.Thus,the Reliability-Based Multidisciplinary Design Optimization(RBMDO)has become a hotspot for recent research and application in complex engineering system design.The Second-Order/First-Order Mean-Value Saddlepoint Approximate(SOMVSA/-FOMVSA)are two popular reliability analysis strategies that are widely used in RBMDO.However,the SOMVSA method can only be used efficiently when the distribution of input variables is Gaussian distribution,which significantly limits its application.In this study,the Gaussian Mixture Model-based Second-Order Mean-Value Saddlepoint Approximation(GMM-SOMVSA)is introduced to tackle above problem.It is integrated with the Collaborative Optimization(CO)method to solve RBMDO problems.Furthermore,the formula and procedure of RBMDO using GMM-SOMVSA-Based CO(GMM-SOMVSA-CO)are proposed.Finally,an engineering example is given to show the application of the GMM-SOMVSA-CO method.

关 键 词：Uncertain factors reliability-based multidisciplinary design optimization saddlepoint approximate gaussian mixture model collaborative optimization 

分 类 号：O17[理学—数学]