Fuzzy Reliability Analysis of Nonlinear Structural System Based on Stochastic Response Surface Method

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Abstract:

Response surface method (RSM) is widely accepted as an efficient method for reliability analysis, especially when the limit state function (LSF) is supposed to be highly nonlinear or closed-form mechanical models to describe the complex structural systems are not available. However, the selection of different response surface functions may result in different computational accuracy and computing time. In this paper, stochastic response surface method (SRSM), in which Hermite polynomials are employed to approximate the real LSF, is adopted in this paper to analyze the fuzzy reliability of structural systems. With a beam presented as an example, traditional methods, such as FORM, JC method and sequence response surface method, and the method raised in the context are compared in case of the study on solving the reliability. The results show that fuzzy reliability analysis with SRSM is relatively much more efficient and less time-consuming, thus the method raised is more suitable for the analysis of this kind of problems.

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Advanced Materials Research (Volumes 912-914)

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1268-1271

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April 2014

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© 2014 Trans Tech Publications Ltd. All Rights Reserved

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[1] O. Ditlevson and H.O. Madson: Structural Reliability Methods (Denmark 2005).

Google Scholar

[2] R. Rackwitz: Structural Safety, Vol. 31 (2001), p.365.

Google Scholar

[3] L. Faravelli: Journal of Engineering Mechanics, Vol. 115 (1989) No. 12, p.2736.

Google Scholar

[4] M.R. Rajashekhar and B.R. Ellingwood: Structural Safety, Vol. 12(1993), p.205.

Google Scholar

[5] C. Bucher and T. Most: Probabilistic Engineering Mechanics, Vol. 23(2008), p.154.

Google Scholar

[6] W.T. Zhao and Z.P. Qiu: Finite Elements in Analysis and Design, Vol. 67(2013), p.34.

Google Scholar

[7] G. Falsone and N. Impollonia: Probabilistic Engineering Mechanic, Vol. 19(2004), p.53.

Google Scholar

[8] S.S. Isukapalli: Uncertainty analysis of transport-transformation models (PhD., The State of New Jersey, USA 1999).

Google Scholar

[9] D.Q. Li, Y.F. Chen, W.B. Lu and C.B. Zhou: Computers and Geotechnics, Vol. 38(2011), p.58.

Google Scholar

[10] H.P. Gavin and S.C. Yau: Structural Safety, Vol. 30(2008), p.162.

Google Scholar

[11] M. Zhang: Structural Reliability Analysis: Methods and Programs (Science Press, China 2009). (In Chinese).

Google Scholar

[12] Y. Ji, X.Q. Liu, T.C. Li and S. Li: Applied Mechanics and Materials, Vol. 496-500(2014), p.2505.

Google Scholar