RESEARCH PAPER
Structural reliability analysis based on fuzzy random uncertainty
| 1 | School of Reliability and Systems Engineering Beihang University XueYuan Road No.37,HaiDian District, BeiJing, China |
Publication date: 2019-12-31
Eksploatacja i Niezawodność – Maintenance and Reliability 2019;21(4):599–609
KEYWORDS
ABSTRACT
To address the fuzzy random uncertainty in structural reliability analysis, a novel method for obtaining the membership function of
fuzzy reliability is proposed on the two orders four central moments (TOFM) method based on envelope distribution. At each cut
level, the envelope distribution is first constructed, which is a new expression to describe the bound of the fuzzy random variable
distribution. The central moments of the bound distribution are determined by generating samples from the envelope distribution,
and they are used to calculate the central moments of the limit state function based on the first two orders of the Taylor expansion.
Thereafter, the modern approximation method is used to approximate the polynomial expression for the limit state function probability density function (PDF) by considering the central moments as constraint conditions. Thus, the reliability boundaries can
be calculated under the considered cut level, and the membership function of the fuzzy reliability is subsequently obtained. Three
examples are evaluated to demonstrate the efficiency and accuracy of the proposed method. Moreover, a comparison is made between the proposed method, Monte Carlo simulation (MCS) method, and fuzzy first-order reliability method (FFORM). The results
show the superiority of the proposed method, which is feasible for the analysis of structural reliability with fuzzy randomness.
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