Nonprobabilistic reliability analysis method for series-parallel structural systems with correlated uncertainties

IF 4.4 2区工程技术 Q1 COMPUTER SCIENCE, INTERDISCIPLINARY APPLICATIONS

Computers & Structures Pub Date : 2024-07-01 DOI:10.1016/j.compstruc.2024.107459

Jinglei Gong, Xiaojun Wang, Yongxiang Mu

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引用次数: 0

Abstract

Traditionally, nonprobabilistic methods for reliability problems evaluate the reliability level of single failure modes, lacking the capability to perform comprehensive reliability analysis series–parallel systems formed by multiple failure modes. In this paper, the nonprobabilistic systematic reliability method (NSRM) is proposed to evaluate the reliability of series–parallel systems within the nonprobabilistic framework. Firstly, the correlation propagation analysis is introduced to quantify the ellipsoidal uncertain domain of limit state functions, upon which all subsequent reliability analyses are based. Subsequently, an equivalence-based method based is proposed to determine the equivalent limit state functions of parallel subsystems, accompanied by the establishment of an optimal equivalence strategy. The NSRM is further established by combining the second order reliability bound techniques. Lastly, the paper presents two numerical examples and an engineering application, showcasing the efficacy and precision of the proposed NSRM in practical scenarios.

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具有相关不确定性的串并联结构系统的非概率可靠性分析方法

传统上，可靠性问题的非概率方法评估的是单一失效模式的可靠性水平，缺乏对由多种失效模式组成的串并联系统进行全面可靠性分析的能力。本文提出了非概率系统可靠性方法（NSRM），在非概率框架内评估串并联系统的可靠性。首先，引入相关性传播分析来量化极限状态函数的椭圆形不确定域，所有后续可靠性分析均以此为基础。随后，提出了一种基于等效的方法来确定并行子系统的等效极限状态函数，并建立了最佳等效策略。结合二阶可靠性约束技术，进一步建立了 NSRM。最后，论文介绍了两个数值示例和一个工程应用，展示了所提出的 NSRM 在实际场景中的有效性和精确性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Computers & Structures 工程技术-工程：土木

CiteScore

8.80

自引率

6.40%

发文量

122

审稿时长

33 days

期刊介绍： Computers & Structures publishes advances in the development and use of computational methods for the solution of problems in engineering and the sciences. The range of appropriate contributions is wide, and includes papers on establishing appropriate mathematical models and their numerical solution in all areas of mechanics. The journal also includes articles that present a substantial review of a field in the topics of the journal.