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Structural and Multidisciplinary Optimization
Erschienen in: Structural and Multidisciplinary Optimization 6/2017

30.11.2016 | RESEARCH PAPER

Reliability analysis of structures using stochastic response surface method and saddlepoint approximation

verfasst von: Xianzhen Huang, Yang Liu, Yimin Zhang, Xufang Zhang

Erschienen in: Structural and Multidisciplinary Optimization | Ausgabe 6/2017

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Abstract

Stochastic response surface method (SRSM) is a technique used for reliability analysis of complex structural systems having implicit or time consuming limit state functions. The main aspects of the SRSM are the collection of sample points, the approximation of response surface and the estimation of the probability of failure. In this paper, sample points are selected close to the most probable point of failure and the actual limit state surface (LSS). The response surface is fitted using the weighted regression technique, which allows the fitting points to be weighted based on their distance from the LSS. The cumulant generating function (CGF) of the response surface is derived analytically. The saddlepoint approximation (SPA) method is utilized to compute the probability of failure of the structural system. Finally, four numerical examples compare the proposed algorithm with the traditional quadratic polynomial SRSM, Kriging based SRSM and direct MCS.
Vorheriger Artikel GOTICA - generation of optimal topologies by irregular cellular automata
Nächster Artikel Modified firefly algorithm for multidimensional optimization in structural design problems

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Metadaten
Titel
Reliability analysis of structures using stochastic response surface method and saddlepoint approximation
verfasst von
Xianzhen Huang
Yang Liu
Yimin Zhang
Xufang Zhang
Publikationsdatum
30.11.2016
Verlag
Springer Berlin Heidelberg
Erschienen in
Structural and Multidisciplinary Optimization / Ausgabe 6/2017
Print ISSN: 1615-147X
Elektronische ISSN: 1615-1488
DOI
https://doi.org/10.1007/s00158-016-1617-9

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