期刊
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION
卷 43, 期 1, 页码 121-134出版社
SPRINGER
DOI: 10.1007/s00158-010-0546-2
关键词
Reliability analysis; Dimension Reduction Method (DRM); Moment Based Quadrature Rule (MBQR); Maximum Entropy Method (MEM)
资金
- National Natural Science Foundation of China [90815023, 10721062]
- National Basic Research Program of China (973 Program) [2006CB705403]
This paper presents a combined reliability analysis approach which is composed of Dimension Reduction Method (DRM) and Maximum Entropy Method (MEM). DRM has emerged as a new approach in this field with the advantages of its sensitivity-free nature and efficiency instead of searching for the most probable point (MPP). However, in some recent implementations, the Moment Based Quadrature Rule (MBQR) in the DRM was found to be numerically instable when solving a system of linear equations for the integration points. In this study, a normalized Moment Based Quadrature Rule (NMBQR) is proposed to solve this problem, which can reduce the condition number of the coefficient matrix of the linear equations considerably and improve the robustness and stableness. Based on the statistical moments obtained by DRM+NMBQR, the MEM is applied to construct the probability density function (PDF) of the response. A number of numerical examples are calculated and compared to the Monte Carlo simulation (MCS), the First Order Reliability Method (FORM), the Extended Generalized Lambda Distribution (EGLD) and Saddlepoint Approximation (SA). The results show the accuracy and efficiency of the proposed method, especially for the multimodal PDF problem and multiple design point problem.
作者
我是这篇论文的作者
点击您的名字以认领此论文并将其添加到您的个人资料中。
推荐
暂无数据