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 

机构地区：[1]School of Mechatronic Engineering,Lanzhou Jiaotong University,Lanzhou,730070,China [2]School of Electronic and Information Engineering,Lanzhou Jiaotong University,Lanzhou,730070,China [3]School of Mechanics,Civil Engineering and Architecture,Northwestern Polytechnical University,Xi’an,China

出　　处：《Computer Modeling in Engineering & Sciences》2024年第5期1775-1796,共22页工程与科学中的计算机建模（英文）

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

摘　　要：The objective of reliability-based design optimization(RBDO)is to minimize the optimization objective while satisfying the corresponding reliability requirements.However,the nested loop characteristic reduces the efficiency of RBDO algorithm,which hinders their application to high-dimensional engineering problems.To 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 WPEM.Second,Lagrange interpolation is used to approximate a univariate function.Finally,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 calculations.Two 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.

关 键 词：Reliability-based design optimization high-dimensional model decomposition point estimation method Lagrange interpolation aviation hydraulic piping system 

分 类 号：O17[理学—数学]