Chinese Journal of Mechanical Engineering >

2017 , Vol. 30 >Issue 4: 933 - 942

DOI: https://doi.org/10.1007/s10033-017-0144-y

Advanced Manufacturing

Reliability Evaluation of Machine Center Components Based on Cascading Failure Analysis

  • Ying-Zhi Zhang ,
  • Jin-Tong Liu ,
  • Gui-Xiang Shen ,
  • Zhe Long ,
  • Shu-Guang Sun
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  • 1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;
    2. College of Management Science and Engineering, Shandong Normal University, Jinan 250000, China

收稿日期: 2015-11-03

  修回日期: 2017-04-14

  网络出版日期: 2019-07-22

基金资助

Supported by National Natural Science Foundation of China (Grant No. 51175222), Jilin Provincial Natural Science Foundation of China (Grant No. 20150101025JC), and High-end CNC machine tools and basic manufacturing equipment science and technology of major special projects (Grant No.2015ZX04003002)

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Reliability Evaluation of Machine Center Components Based on Cascading Failure Analysis

  • Ying-Zhi Zhang ,
  • Jin-Tong Liu ,
  • Gui-Xiang Shen ,
  • Zhe Long ,
  • Shu-Guang Sun
Expand
  • 1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;
    2. College of Management Science and Engineering, Shandong Normal University, Jinan 250000, China

Received date: 2015-11-03

  Revised date: 2017-04-14

  Online published: 2019-07-22

Supported by

Supported by National Natural Science Foundation of China (Grant No. 51175222), Jilin Provincial Natural Science Foundation of China (Grant No. 20150101025JC), and High-end CNC machine tools and basic manufacturing equipment science and technology of major special projects (Grant No.2015ZX04003002)

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摘要

In order to rectify the problems that the component reliability model exhibits deviation, and the evaluation result is low due to the overlook of failure propagation in traditional reliability evaluation of machine center components, a new reliability evaluation method based on cascading failure analysis and the failure influenced degree assessment is proposed. A direct graph model of cascading failure among components is established according to cascading failure mechanism analysis and graph theory. The failure influenced degrees of the system components are assessed by the adjacency matrix and its transposition, combined with the Pagerank algorithm. Based on the comprehensive failure probability function and total probability formula, the inherent failure probability function is determined to realize the reliability evaluation of the system components. Finally, the method is applied to a machine center, it shows the following: 1) The reliability evaluation values of the proposed method are at least 2.5% higher than those of the traditional method; 2) The difference between the comprehensive and inherent reliability of the system component presents a positive correlation with the failure influenced degree of the system component, which provides a theoretical basis for reliability allocation of machine center system.

关键词： Cascading failure; Machine center components; Reliability evaluation; Pagerank algorithm; Influenced degree

本文引用格式

Ying-Zhi Zhang , Jin-Tong Liu , Gui-Xiang Shen , Zhe Long , Shu-Guang Sun . Reliability Evaluation of Machine Center Components Based on Cascading Failure Analysis[J]. Chinese Journal of Mechanical Engineering, 2017 , 30(4) : 933 -942 . DOI: 10.1007/s10033-017-0144-y

Abstract

In order to rectify the problems that the component reliability model exhibits deviation, and the evaluation result is low due to the overlook of failure propagation in traditional reliability evaluation of machine center components, a new reliability evaluation method based on cascading failure analysis and the failure influenced degree assessment is proposed. A direct graph model of cascading failure among components is established according to cascading failure mechanism analysis and graph theory. The failure influenced degrees of the system components are assessed by the adjacency matrix and its transposition, combined with the Pagerank algorithm. Based on the comprehensive failure probability function and total probability formula, the inherent failure probability function is determined to realize the reliability evaluation of the system components. Finally, the method is applied to a machine center, it shows the following: 1) The reliability evaluation values of the proposed method are at least 2.5% higher than those of the traditional method; 2) The difference between the comprehensive and inherent reliability of the system component presents a positive correlation with the failure influenced degree of the system component, which provides a theoretical basis for reliability allocation of machine center system.

Key words： Cascading failure; Machine center components; Reliability evaluation; Pagerank algorithm; Influenced degree

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