Reliability Analysis of Two-Dimensional Series Portal-Framed Bridge System Based on Mixed Copula Functions

Article Preview

Abstract:

In this paper, several commonly-used Elliptical copulas and Archimedean copulas were introduced, and their application in the correlation analysis were also described in detal. For the two failure modes of two-dimensional series portal-framed bridge system, the performance function values with respect to the failure modes were considered as the analysis variables of the chosen copula functions, and the Baysian copula selection method was applied to select the proper copula functions. And then, the two-dimension mixed copula function was built. Thereinto, the uncertain parameters of copula function were determined with Monte Carlo Sampling (MCS) method, so the numerical modeling of the mixed copula fuction about the failure mode of two-dimensional series portal-framed bridge system was achieved. Finally the reliability of this system was analyzed with the built mixed copula function, and the structural system failure probability was obtained.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

95-105

Citation:

Online since:

September 2013

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2014 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

[1] G. Li, G.D. Cheng. Correlation between structural failure modes and calculation of system reliability under hazard loads. Engineering Mechanics, 18(3): 1-9. (2001)

Google Scholar

[2] D.Q. Li, S.B. Wu. System reliability analysis on main girder of plane gates considering multiple correlated failure modes. Journal of Hydraulic Engineering, 40(7): 870-877. (2009) (in Chinese)

Google Scholar

[3] W.Q. Han, J.Y. Zhou, and K.Z. Sun. Copulas in the mechanical components reliability analysis. In Reliability technology academic exchange meeting and the 4th national machinery industry reliability engineering branch of the second plenary committee conference proceedings, Hunan, Xiangtan. (2010) (in Chinese)

Google Scholar

[4] Y.Y. Hou, S.B. Song. Research of the joint distribution for flood peak and volume based on copula function. Yellow River, 30(11):39-44. (2010) (in Chinese)

Google Scholar

[5] D. Huard, G. Évin, and A.-C. Favre. Bayesian copula selection. Computational Statistics & Data Analysis, 51: 809-822. (2006)

DOI: 10.1016/j.csda.2005.08.010

Google Scholar

[6] N. Fan, X.L. He, and Q. Zhao. Optimal copula function selection based on Bayesian methodology. Chinese Journal of Engineering Mathematics, 29(4): 516-522. (2012) (in Chinese)

Google Scholar

[7] A. Sklar. Fonctions de répartition à n dimensions et leurs marges. Publication de l'Institut de Statistique de l'Université de Paris, 8: 229-231. (1959)

Google Scholar

[8] R.B. Nelsen. An introduction to copulas. New York: Springer. (2006)

Google Scholar

[9] Z.Z. Lu, S.F. Song, Z.F. Yue, and J. Wang. Reliability sensitivity method by line sampling. Structural Safety, 30(6): 517-532. (2008)

DOI: 10.1016/j.strusafe.2007.10.001

Google Scholar