Parameter Study on Subset Simulation for Reliability Assessment

Article Preview

Abstract:

Small probability of failure characterizes a good structural design. Prediction of such a structural safety is time consuming considering that sampling methods such as Monte Carlo method or Latin Hypercube sampling are used. Therefore, more specialized methods are developed. A Subset simulation is one of the new techniques based on modifying the failure event as an intersection of nested intermediate events that are easier to solve. This paper deals with a parameter study of the Subset simulation with modified Metropolis algorithm for Markov chain Monte Carlo using distinct proposal distributions. Different setting is then compared on reliability assessment benchmarks, namely on two mathematical functions with different failure probabilities and on a 23-bar planar truss bridge.

You might also be interested in these eBooks

Info:

Periodical:

Pages:

128-135

Citation:

Online since:

March 2017

Export:

Price:

Permissions CCC:

Permissions PLS:

Сopyright:

© 2017 Trans Tech Publications Ltd. All Rights Reserved

Share:

Citation:

* - Corresponding Author

[1] A.M. Hasofer, N.C. Lind, Exact and invariant second-moment code format. J. Eng. Mech Div., Proc. ASCE 100 (1974) 111-121.

DOI: 10.1061/jmcea3.0001848

Google Scholar

[2] N. Metropolis, S. Ulam, The Monte Carlo method. J. Am. Stat. Assoc. 44, 247 (1949) 335-341.

Google Scholar

[3] J.M. Hammersley, D.C. Handscomb, Monte Carlo methods, John Willey and Sons, New York, (1975).

Google Scholar

[4] S. -K. Au, J.L. Beck, Estimation of small failure probabilities in high dimensions by subset simulation. Probabilist Eng Mech 16, 4 (2001) 263-277.

DOI: 10.1016/s0266-8920(01)00019-4

Google Scholar

[5] C. Bucher, Asymptotic sampling for high-dimensional reliability analysis. Probabilist Eng Mech 24 (2009) 504-510.

Google Scholar

[6] M. Rosenblatt, Remarks on a a multivariate transformation, The Annals of Mathematical Statistics, 23 (1952) 470-472.

DOI: 10.1214/aoms/1177729394

Google Scholar

[7] K.M. Zuev, Subset simulation method for rare event estimation: An introduction in: M. Beer, et al (Eds. ), Encyclopedia of Earthquake Engineering, Living Reference Work Entry, 07 Oct. 2014, pp.1-25.

DOI: 10.1007/978-3-642-36197-5_165-1

Google Scholar

[8] S.K. Au, J. Ching, J.L. Beck, Application of subset simulation methods to reliability benchmark problems. Struct. Saf. 29 (2007) 183-193.

DOI: 10.1016/j.strusafe.2006.07.008

Google Scholar

[9] K.M. Zuev, et al, Bayesian post-processor and other enhancements of Subset Simulation for estimating failure probabilities in high dimensions. Computers & structures 92 (2012) 283-296.

DOI: 10.1016/j.compstruc.2011.10.017

Google Scholar

[10] S.K. Au, Yu Wang, Engineering risk assessment with subset simulation, first ed., John Wiley & Sons, Singapore, (2014).

Google Scholar

[11] I. Papaioannou, et al, MCMC algorithms for subset simulation, Probabilist Eng Mech 41 (2015) 89-103.

Google Scholar