A New Reliability Approach for the Fuzzy and Random Structure Based on the Uniformly Distributed Membership Level

Li, Guijie; Lü, Zhenzhou; Zhang, Xiaobo; Zhang, Feng

doi:10.1007/s40815-022-01281-4

Cited by 2 publications

(1 citation statement)

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“…Generally, it can be divided into "system reliability analysis" (SRA) and "component reliability analysis" (CRA). The former means considering multiple failure modes, while the latter only considers one single failure mode [1,2].…”

Section: Introductionmentioning

confidence: 99%

A Novel Reliability Analysis Approach under Multiple Failure Modes Using an Adaptive MGRP Model

Zhi

Yun²,

Wang

et al. 2022

Applied Sciences

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In this paper, a novel MRGP-SS method is proposed to deal with the reliability analysis problems under multiple failure modes. First, a random moving quadrilateral grid sampling (RMQGS) method is proposed to improve the randomness and uniformity of initial samples. Second, an adaptive procedure, which combines the multiple response Gaussian process (MRGP) model and the novel active learning functions, is proposed to efficiently and accurately produce surrogate models for failure surfaces. In this regard, two novel learning functions are introduced to adapt to different iterative cycles, one is employed to correct the quality of samples, and the other is used to search for the samples closest to the limit state surface. Third, the subset simulation (SS) is integrated into the adaptive MRGP model to estimate the failure probability under multiple failure modes with fewer function calls and time consumption. Numerical and engineering case studies are finally provided to demonstrate the effectiveness of the proposed method.

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Section: Introductionmentioning

confidence: 99%