Decomposition methods for structural reliability analysis

Hao Xu

doi:10.1016/j.probengmech.2005.05.005

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Decomposition methods for structural reliability analysis

2005-07-01

156

PRE

Hao Xu

Sharif Rahman

DOI：10.1016/j.probengmech.2005.05.005

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Abstract

En 中文

A new class of computational methods, referred to as decomposition methods, has been developed for predicting failure probability of structural and mechanical systems subject to random loads, material properties, and geometry. The methods involve a novel function decomposition that facilitates univariate and bivariate approximations of a general multivariate function, response surface generation of univariate and bivariate functions, and Monte Carlo simulation. Due to a small number of original function evaluations, the proposed methods are very effective, particularly when a response evaluation entails costly finite-element, mesh-free, or other numerical analysis. Seven numerical examples involving elementary mathematical functions and solid-mechanics problems illustrate the methods developed. Results indicate that the proposed methods provide accurate and computationally efficient estimates of probability of failure. (c) 2005 Elsevier Ltd. All rights reserved.

Keywords:

reliability

decomposition

univariate method

bivariate method

response surface

stochastic finite-element and mesh-free methods

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