Decomposition methods for structural reliability analysis

By H. Xu, Sharif Rahman. 2005

166 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Mechanics of Materials, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/68fb8e921dc3bcf33ae3d3b960a80c3109616a82

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In Civil and Structural Engineering

In Mechanics of Materials

In Statistics and Probability

Citations in the corpus

Stochastic multiscale models for fracture analysis of functionally graded materials (2008, unknown): “A dimensional decomposition of y(r), described by [18,19] yðrÞ 1⁄4 y0 þ XN”
Design sensitivity and reliability-based structural optimization by univariate decomposition (2008, methodology): “From the authors’ past work (Xu and Rahman 2005), it can be shown that the univariate approximation byk;1 vk ; d ð Þ leads to a residual error yk vk ; d ð Þ byk;1 vk ; d ð Þ, which includes contributions from terms of dimension two and higher.”
Ensemble of data-driven prognostic algorithms for robust prediction of remaining useful life (2011, methodology): “To overcome this difficulty, this study employed the univariate decomposition method that only uses a certain number of univariate sample points to construct the response surface for a general multivariate response function while achieving good accuracy [44].”
Structural reliability analysis by univariate decomposition and numerical integration (2007, methodology): “If the univariate decomposition is not sufficient, bivariate or higher-variate decompositions may be required [11].”
Extended Polynomial Dimensional Decomposition for Arbitrary Probability Distributions (2009, methodology): “Introduction The dimensional decomposition is a promising concept for solving complex stochastic problems entailing high-dimensional input-output mapping Rahman 2008; Xu and Rahman 2005; Xu and Rahman 2004 .”
A stochastic micromechanical model for elastic properties of functionally graded materials (2007, methodology): “Fig. 8 depicts plots of both predicted mean and standard deviation of the effective elastic modulus of the cenosphere-polyester FGM for 0 6 x/t 6 1. The high-low experimental data of Parameswaran and Shukla (2000) , plotted in Fig. 8, indicate good agreement between experimental and predicted means”
Single-loop system reliability-based topology optimization considering statistical dependence between limit-states (2011, methodology): “(2010) proposed to use the MPP-based dimension reduction method (Xu and Rahman 2005) in the SRBDO framework.”