Investigating correlation effects of uncertain input variables in reliability-oriented sensitivity analysis for planar linkage mechanism

IF 1.8 4区 工程技术 Q3 ENGINEERING, MECHANICAL
Jingwen Song, Shuang Zhang, Pengfei Wei
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引用次数: 0

Abstract

Time-dependent reliability-oriented sensitivity analysis (ROSA) is a potent technique utilized to assess the impact of uncertain random input variables on the time-dependent reliability of planar linkage mechanisms. However, in cases where these random variables exhibit significant correlation behavior, the existing time-dependent ROSA indices will mislead the decision-makers in distinguishing between distinct types of uncertainty effects. To tackle this problem, this study commences by examining the connotations of main and total effect indices for correlated variables. Three new time-dependent ROSA indices are proposed in this work, specifically, the individual uncorrelated effect index, the total correlated effect index, and the individual interaction effect index, which enable a comprehensive exploration of the diverse effects of correlated random variables on the time-dependent reliability of planar linkage mechanisms. Additionally, efficient computational procedure is developed by combining the envelope function method with Monte Carlo simulation to estimate the proposed time-dependent ROSA indices. Finally, the proposed approach is applied to a four-bar mechanism and a rack-and-pinion steering linkage for illustrating the necessity and superiority of exploring the correlation effects in identifying failure sources with ROSA approaches.

Abstract Image

在面向可靠性的平面连杆机构灵敏度分析中研究不确定输入变量的相关效应
随时间变化的可靠性导向灵敏度分析(ROSA)是一种有效的技术,用于评估不确定的随机输入变量对平面连杆机构随时间变化的可靠性的影响。然而,当这些随机变量表现出明显的相关性时,现有的随时间变化的 ROSA 指数会误导决策者区分不同类型的不确定性影响。为解决这一问题,本研究首先研究了相关变量的主要效应指数和总效应指数的内涵。本文提出了三个新的随时间变化的 ROSA 指数,即个体非相关效应指数、总体相关效应指数和个体交互效应指数,从而全面探讨了相关随机变量对平面联动机构随时间变化的可靠性的不同影响。此外,通过将包络函数法与蒙特卡罗模拟相结合,开发了高效的计算程序,以估算所提出的随时间变化的 ROSA 指数。最后,将提出的方法应用于一个四杆机构和一个齿轮齿条式转向连杆机构,以说明在使用 ROSA 方法识别故障源时探索相关效应的必要性和优越性。
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来源期刊
CiteScore
3.60
自引率
13.60%
发文量
536
审稿时长
4.8 months
期刊介绍: The Journal of the Brazilian Society of Mechanical Sciences and Engineering publishes manuscripts on research, development and design related to science and technology in Mechanical Engineering. It is an interdisciplinary journal with interfaces to other branches of Engineering, as well as with Physics and Applied Mathematics. The Journal accepts manuscripts in four different formats: Full Length Articles, Review Articles, Book Reviews and Letters to the Editor. Interfaces with other branches of engineering, along with physics, applied mathematics and more Presents manuscripts on research, development and design related to science and technology in mechanical engineering.
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