Reliability-based optimization using bridge importance sampling

被引:34
作者
Beaurepaire, P. [1 ]
Jensen, H. A. [2 ]
Schueller, G. I.
Valdebenito, M. A. [2 ]
机构
[1] Univ Liverpool, Virtual Engn Ctr, Warrington WA4 4AD, Cheshire, England
[2] Federico Santa Maria Univ, Dept Civil Engn, Valparaiso, Chile
基金
奥地利科学基金会; 英国科学技术设施理事会;
关键词
Reliability-based optimization; Importance sampling; Markov chain Monte Carlo; Advanced simulation techniques; DESIGN OPTIMIZATION; NORMALIZING CONSTANTS; SIMULATION; MINIMIZATION; FRAMEWORK;
D O I
10.1016/j.probengmech.2013.04.001
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
This paper introduces an efficient reliability estimation approach to be used in the framework of reliability-based optimization. The key feature of the procedure consists of reusing during the optimization procedure the results of the previous iterations. The reliability analysis is performed subsequently with a reduced number of samples which greatly decreases the computational efforts associated with the reliability-based optimization process. The validity and the advantages of the procedure are demonstrated by means of two reliability-based optimization problems. (C) 2013 The Authors. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码:48 / 57
页数:10
相关论文
共 62 条
[31]   MONTE-CARLO SAMPLING METHODS USING MARKOV CHAINS AND THEIR APPLICATIONS [J].
HASTINGS, WK .
BIOMETRIKA, 1970, 57 (01) :97-&
[32]   A feasible directions method for nonsmooth convex optimization [J].
Herskovits, Jose ;
Freire, Wilhelm P. ;
Fo, Mario Tanaka ;
Canelas, Alfredo .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2011, 44 (03) :363-377
[33]  
Howell FM, 1956, P AM SOC TEST MAT PH
[34]   OBSERVATIONS ON APPLICATIONS OF IMPORTANCE SAMPLING IN STRUCTURAL RELIABILITY-ANALYSIS [J].
IBRAHIM, Y .
STRUCTURAL SAFETY, 1991, 9 (04) :269-281
[35]   Framework for sequential approximate optimization [J].
Jacobs, JH ;
Etman, LFP ;
van Keulen, F ;
Rooda, JE .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2004, 27 (05) :384-400
[36]   Reliability-based optimization of stochastic systems using line search [J].
Jensen, H. A. ;
Valdebenito, M. A. ;
Schueller, G. I. ;
Kusanovic, D. S. .
COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING, 2009, 198 (49-52) :3915-3924
[37]   Application of spherical subset simulation method and auxiliary domain method on a benchmark reliability study [J].
Katafygiotis, L. S. ;
Cheung, S. H. .
STRUCTURAL SAFETY, 2007, 29 (03) :194-207
[38]  
Katafygiotis LS., 2007, COMPDYN 2007
[39]   Monte-Carlo simulations of life expectancy using the dual boundary element method [J].
Kebir, H ;
Roelandt, JM ;
Gaudin, J .
ENGINEERING FRACTURE MECHANICS, 2001, 68 (12) :1371-1384
[40]  
Kupfer H., 1977, P 2 INT C STRUCT SAF, P627