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Reliability analysis by mean-value second-order expansion

By: Liu, Deshun.
Contributor(s): Peng, Yehui.
Publisher: New York ASME 2012Edition: Vol.134(6), Jun.Description: 1-8p.Subject(s): Mechanical EngineeringOnline resources: Click here In: Journal of mechanical designSummary: In this paper, two second-order methods are proposed for reliability analysis. First, general random variables are transformed to standard normal random variables. Then, the limit-state function is additively decomposed into one-dimensional functions, which are then expanded at the mean-value point to second-order terms. The approximated limit-state function becomes the sum of independent variables following noncentral chi-square distributions or normal distributions.
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In this paper, two second-order methods are proposed for reliability analysis. First, general random variables are transformed to standard normal random variables. Then, the limit-state function is additively decomposed into one-dimensional functions, which are then expanded at the mean-value point to second-order terms. The approximated limit-state function becomes the sum of independent variables following noncentral chi-square distributions or normal distributions.

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