Int. J. of Reliability and Safety   »   2012 Vol.6, No.1/2/3



Title: Structural analysis with probability-boxes


Authors: Hao Zhang; Robert L. Mullen; Rafi L. Muhanna


School of Civil Engineering, University of Sydney, NSW 2006, Australia.
Department of Civil and Environmental Engineering, University of South Carolina, Columbia, SC 29208, USA.
School of Civil and Environmental Engineering, Georgia Institute of Technology, Savannah, GA 31407, USA


Abstract: Probability-box (p-box) is a rigorous and practical way to represent epistemic sources of uncertainty where the available knowledge is insufficient to construct the required probability distributions. In this paper, interval finite element (FE) methods are combined with the concept of p-box to analyse structures subjected to uncertain loads modelled by p-boxes. Two methods, namely the discrete p-box convolution and interval Monte Carlo methods, are presented along with example problems. The computational efficiency of the p-box FE method is also presented.


Keywords: epistemic uncertainty; imprecise probability; interval analysis; interval FEM; finite element method; Monte Carlo simulation; probability boxes; random sets; structural reliability.


DOI: 10.1504/IJRS.2012.044292


Int. J. of Reliability and Safety, 2012 Vol.6, No.1/2/3, pp.110 - 129


Submission date: 30 Jul 2010
Date of acceptance: 28 Mar 2011
Available online: 16 Dec 2011



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