Method of a New Iteration Scheme Combined with Kriging Model for
Structural Reliability Evaluation

doi:10.1007/s12204-012-1300-2

Abstract

Abstract: The first order reliability method (FORM) is widely adopted for structural reliability evaluation due to its numerical efficiency. Concerning the issue of FORM often failing to converge when the limit state function (LSF) behaves high nonlinearity, a new iteration scheme called “rotated gradient algorithm (RGA)” is proposed and combined with Kriging model to evaluate the reliability of implicit performance function. In this paper, the Kriging model is applied to approximate the real LSF first. Then the scheme of RGA, constructed in terms of gradient information of two adjacent design points obtained during the process of calculation, is used to calculate the reliability index. Numerical examples show the validity in convergence and accuracy of the proposed method for arbitrary nonlinear performance function.

Key words: reliability analysis| Kriging model| first order reliability method (FORM)| iteration scheme

摘要： The first order reliability method (FORM) is widely adopted for structural reliability evaluation due to its numerical efficiency. Concerning the issue of FORM often failing to converge when the limit state function (LSF) behaves high nonlinearity, a new iteration scheme called “rotated gradient algorithm (RGA)” is proposed and combined with Kriging model to evaluate the reliability of implicit performance function. In this paper, the Kriging model is applied to approximate the real LSF first. Then the scheme of RGA, constructed in terms of gradient information of two adjacent design points obtained during the process of calculation, is used to calculate the reliability index. Numerical examples show the validity in convergence and accuracy of the proposed method for arbitrary nonlinear performance function.

关键词: reliability analysis| Kriging model| first order reliability method (FORM)| iteration scheme

CLC Number:

TU 311

YANG Jie1,2 (杨杰), HUANG Yi1,2(黄一), ZHANG Qi1,2 (张崎), ZHAO De-you1 (赵德有). Method of a New Iteration Scheme Combined with Kriging Model for Structural Reliability Evaluation[J]. Journal of shanghai Jiaotong University (Science), 2012, 17(4): 415-.

References

[1] Bucher C G, Bourgund U. A fast and efficient response surface approach for structural reliability problems
[J]. Structural Safety, 1990, 7(1): 57-66.
[2] Elhewy A H, Mesbahi E, Pu Y. Reliability analysis of structures using neural network method [J]. Probabilistic
Engineering Mechanics, 2006, 21(1): 44-53.
[3] Roeeo C M, Moreno J A. Fast Monte Carlo reliability evaluation using support vector machine [J]. Reliability
Engineering and System Safety, 2002, 76(3):237-243.
[4] Kaymaz I. Application of Kriging method to structural reliability problems [J]. Structural Safety, 2005, 27(2): 133-151.
[5] Gong Jin-xing. Computational methods for reliability of engineering structures [M]. Dalian: Dalian University
of Technology Press, 2003 (in Chinese).
[6] Lee J O, Yang Y S, Ruy W S. A comparative study on reliability-index and target-performancebased
probabilistic structural design optimization [J].Computers and Structures, 2002, 80(3): 257-269.
[7] Kang Zhan, Luo Yang-jun. A modified iteration algorithm for structural reliability index evaluation [J]. Engineering
Mechanics, 2008, 25(11): 20-26 (in Chinese).
[8] Santosh T V, Saraf R K, Ghosh A K, et al. Optimum step length selection rule in modified HLRF
method for structural reliability [J]. International Journal of Pressure Vessels and Piping, 2006, 83(10):742-748.
[9] Hasofer A M, Lind N C, Asce A M. Exact and invariant second moment code format [J]. Journal of the
Engineering Mechanics Division, 1974, 100(1): 111-121.
[10] Rackwitz R, Fiessler B. Structural reliability under combined random load sequences [J]. Computers and Structures, 1978, 9(5): 489-494.
[11] Sacks J, Schiller S B, Welch W J. Design for computer experiment [J]. Technometrics, 1989, 31(1):41-47.
[12] Wang L P, Grandhi R V. Safety index calculation using intervening variables for structural reliability
analysis [J]. Computers and Structures, 1996, 59(6):1139-1148.
[13] Zhao Guo-pan. Reliability theory and its applications for engineering structures [M]. Dalian: Dalian University of Technology Press, 1996 (in Chinese).

Method of a New Iteration Scheme Combined with Kriging Model for Structural Reliability Evaluation

Method of a New Iteration Scheme Combined with Kriging Model for Structural Reliability Evaluation

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