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
相关论文
共 56 条
[31]   PHIMECA-SOFT [J].
Lemaire, M ;
Pendola, M .
STRUCTURAL SAFETY, 2006, 28 (1-2) :130-149
[32]  
Lemaire M., 2009, STRUCTURAL RELIABILI
[33]  
Li G, 2010, AIP CONF PROC, V1233, P893, DOI 10.1063/1.3452297
[34]   Stochastic fatigue damage modeling under variable amplitude loading [J].
Liu, Yongming ;
Mahadevan, Sankaran .
INTERNATIONAL JOURNAL OF FATIGUE, 2007, 29 (06) :1149-1161
[35]  
MALLIAVIN P, 1997, STOCHASTIC ANAL
[36]   Calculations of Sobol indices for the Gaussian process metamodel [J].
Marrel, Amandine ;
Iooss, Bertrand ;
Laurent, Beatrice ;
Roustant, Olivier .
RELIABILITY ENGINEERING & SYSTEM SAFETY, 2009, 94 (03) :742-751
[37]   A comparison of three methods for selecting values of input variables in the analysis of output from a computer code [J].
Mckay, MD ;
Beckman, RJ ;
Conover, WJ .
TECHNOMETRICS, 2000, 42 (01) :55-61
[38]  
Message O., 1989, EGF 3 MECH ENG PUBL, P479
[39]  
Novak D., 2001, INT C MONT CARL SIM, P129
[40]   Latin hypercube sampling for stochastic finite element analysis [J].
Olsson, AMJ ;
Sandberg, GE .
JOURNAL OF ENGINEERING MECHANICS-ASCE, 2002, 128 (01) :121-125