Hybrid Reliability Analysis for Structures Based on High-order Moments and Maximum Entropy Method

doi:10.3901/JME.2021.14.282

Abstract

Abstract: A reliability analysis model is proposed for structures with mixed uncertainty based on high-order moments and maximum entropy method(MEM). For interval variables, Taylor expansion method is used to obtain the lower bounds of the function, for random variables, the MEM is used to determine the probability density expression at first, and then Taylor expansion and Pearson curves method are used to determine the normalized six order moments of the function. At the same time, Matlab is used to obtain the parameters required for the probabilistic density function, then the probability density curve is fitted, and the lower bound failure probabilities of the function are solved by integral solution. The method is applied to a numerical example and an engineering application example, while the comparison between the results with interval Monte Carlo shows that the method has better accuracy and efficiency.

Key words: random-interval mixed model, reliability analysis, Taylor expansion, high order moments, maximum entropy

CLC Number:

TB114

ZHENG Hongwei, MENG Guangwei, LI Feng, GUO Yaming, XUAN Mohan, ZHAO Weidong, WANG Yu. Hybrid Reliability Analysis for Structures Based on High-order Moments and Maximum Entropy Method[J]. Journal of Mechanical Engineering, 2021, 57(14): 282-290,303.

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