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中南大学学报(自然科学版)

Journal of Central South University

第49卷    第11期    总第291期    2018年11月

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文章编号:1672-7207(2018)11-2716-07
基于模糊灰关联的汽车驱动桥系统故障树分析
王彤1, 2,赵野1,陈杰1

(1. 中国科学院 微电子研究所,北京,100029;
2. 中国科学院大学,北京,100049
)

摘 要: 为解决传统故障树分析方法在分析大型、复杂的系统时无法获取完整的故障信息和准确的故障发生率的问题,提出基于模糊集理论和灰色关联理论的改进的故障树分析方法。首先,通过故障树分析求出所有的最小割集,采用三角模糊数描述故障底事件的发生概率,并根据模糊算子计算出顶事件的模糊概率和各底事件的模糊重要度;然后,建立灰色关联模型,以底事件模糊重要度为子序列,以最小割集构成的特征矩阵为母序列,计算各最小割集与顶事件之间的灰色关联度,以此快速、准确地确定系统可靠性改进的重点方向。最后,将此方法应用于汽车驱动桥系统的可靠性分析。研究结果表明:汽车轴承疲劳点蚀为该系统的薄弱环节;该方法在一定程度上解决了汽车驱动桥系统在故障率信息严重缺失下的可靠性分析问题,可为改进系统的可靠性和安全性,制定相应的安全措施提供参考。

 

关键词: 可靠性分析;故障树分析;三角模糊数;灰色关联度;汽车驱动桥

Fault tree analysis of automobile drive axle system based on fuzzy grey correlation theory
WANG Tong1, 2, ZHAO Ye1, CHEN Jie1

1. Institute of Microelectronics of Chinese Academy of Sciences, Beijing 100029, China;
2. University of Chinese Academy of Sciences, Beijing 100049, China

Abstract:To solve the problem that the classical fault tree analysis can not obtain complete fault information and accurate fault probability in the analysis of large and complex systems, an improved fault tree analysis based on fuzzy set theory and grey correlation theory was proposed. Firstly, all minimal cut sets were determined via fault tree analysis. The triangular fuzzy number was employed to describe the fault probability. The fuzzy probability of the top event and the fuzzy significances of bottom events were calculated according to the fuzzy operators. Secondly, a grey correlation model was established, in which the fuzzy significances of bottom events were regarded as sub-sequences and the characteristic matrix composed of minimal cut sets as primary-sequences. The grey correlation degrees between the top event and minimal cut sets were calculated to find the key direction of improving system reliability quickly and accurately. Finally, the method was applied to analyze the probability of the automobile drive axle system. The results show that the bearing fatigue pitting is the key failure event. To a certain extent, the reliability analysis of the drive axle system is finished with the lack of failure probability information, and this improved method can provide reference for improving the reliability and safety of the system and formulating relevant safety measures.

 

Key words: reliability analysis; fault tree analysis; triangular fuzzy number; grey correlation degree; drive axle system

中南大学学报(自然科学版)
  ISSN 1672-7207
CN 43-1426/N
ZDXZAC
中南大学学报(英文版)
  ISSN 2095-2899
CN 43-1516/TB
JCSTFT
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