An Efficient Reliability-Based Optimization Method Utilizing High-Dimensional Model Representation and Weight-Point Estimation Method

作     者：Xiaoyi Wang Xinyue Chang Wenxuan Wang Zijie Qiao Feng Zhang 

作者机构：School of Mechatronic EngineeringLanzhou Jiaotong UniversityLanzhou730070China School of Electronic and Information EngineeringLanzhou Jiaotong UniversityLanzhou730070China School of MechanicsCivil Engineering and ArchitectureNorthwestern Polytechnical UniversityXi’anChina 

出 版 物：《Computer Modeling in Engineering & Sciences》 (工程与科学中的计算机建模（英文）)

年 卷 期：2024年第139卷第5期

页      面：1775-1796页

核心收录：

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基　　金：supported by the Innovation Fund Project of the Gansu Education Department(Grant No.2021B-099) 

主　　题：Reliability-based design optimization high-dimensional model decomposition point estimation method Lagrange interpolation aviation hydraulic piping system 

摘      要：The objective of reliability-based design optimization(RBDO)is to minimize the optimization objective while satisfying the corresponding reliability ***,the nested loop characteristic reduces the efficiency of RBDO algorithm,which hinders their application to high-dimensional engineering *** address these issues,this paper proposes an efficient decoupled RBDO method combining high dimensional model representation(HDMR)and the weight-point estimation method(WPEM).First,we decouple the RBDO model using HDMR and ***,Lagrange interpolation is used to approximate a univariate ***,based on the results of the first two steps,the original nested loop reliability optimization model is completely transformed into a deterministic design optimization model that can be solved by a series of mature constrained optimization methods without any additional *** numerical examples of a planar 10-bar structure and an aviation hydraulic piping system with 28 design variables are analyzed to illustrate the performance and practicability of the proposed method.