RPCM: a strategy to perform reliability analysis using polynomial chaos and resampling Application to fatigue design

被引:10
作者
Notin, Alban [1 ]
Gayton, Nicolas [2 ]
Dulong, Jean Luc [1 ]
Lemaire, Maurice [2 ]
Villon, Pierre [1 ]
Jaffal, Haidar [3 ]
机构
[1] Univ Technol Compiegne, FR CNRS 283, Lab Roberval, BP 20319, F-60206 Paris, France
[2] Clermont Univ, IFMA, Lab Mecan & Ingn, EA 3867, F-63006 Clermont Ferrand, France
[3] CETIM, F-60304 Senlis, France
来源
EUROPEAN JOURNAL OF COMPUTATIONAL MECHANICS | 2010年 / 19卷 / 08期
关键词
Bootstrap; confidence intervals; reliability analysis; polynomial chaos; fatigue;
D O I
10.3166/EJCM.19.795-830
中图分类号
O3 [力学];
学科分类号
08 ; 0801 ;
摘要
Using stochastic finite elements, the response quantity can be written as a series expansion which allows an approximation of the limit state function. For computational purpose, the series must be truncated in order to retain only a finite number of terms. In the context of reliability analysis, we propose a new approach coupling polynomial chaos expansions and confidence intervals on the generalized reliability index as truncating criterion.
引用
收藏
页码:795 / 830
页数:36
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