Hybrid Reliability Analysis of Structures Based on Taylor Expansion Method

doi:10.3969/j.issn.1000-1093.2018.07.019

Abstract

Abstract: A new reliability analysis method is proposed forhybrid uncertainty with both random variables and interval variables. The expression of the upper and lower bounds of structural function is obtained based on the Taylor expansion. By means of the dimensionality reduction method, the structural function is approximated as the sum of n one-dimensional variable functions. The fourth-order central moments of limit state function of structure are derived by utilizing the Taylor expansion. The upper and lower bounds of structural failure probability are obtained by using the fourth-order moment method. In the method, the distribution of random variables is not required, and the most probable failure point of iteration needs not to be solved. Several examples demonstrate that the proposed method has higher calculation accuracy and efficiency. Key

Key words: structuralreliabilityanalysis, Taylorexpansionmodel, intervalvariable, dimensionalityreductionalgorithm, fourth-ordermoment

CLC Number:

TB114.33

MENG Guang-wei， WEI Tong-hui， ZHOU Li-ming， LI Feng. Hybrid Reliability Analysis of Structures Based on Taylor Expansion Method[J]. Acta Armamentarii, 2018, 39(7): 1404-1410.

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第39卷
第7期2018 年7月兵工学报ACTA
ARMAMENTARIIVol.39No.7Jul.2018

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