吉林大学学报(工学版) ›› 2017, Vol. 47 ›› Issue (1): 169-173.doi: 10.13229/j.cnki.jdxbgxb201701025

• 论文 • 上一篇    下一篇

基于故障相关性分析的数控机床系统可靠性建模

张英芝1, 刘津彤1, 申桂香1, 戚晓艳1, 2, 龙哲1   

  1. 1.吉林大学 机械科学与工程学院,长春 130022;
    2.空军航空大学 飞行器与动力系,长春 130022
  • 收稿日期:2015-11-02 出版日期:2017-01-20 发布日期:2017-01-20
  • 通讯作者: 申桂香(1957-),女,教授,博士生导师.研究方向:数控装备及其全生命周期工程.E-mail:shengx@jlu.edu.cn
  • 作者简介:张英芝(1970-),女,副教授,博士.研究方向:数控装备可靠性工程.E-mail:zhangyz@jlu.edu.cn
  • 基金资助:
    国家自然科学基金项目(51275205); 吉林省自然科学基金项目(20150101025JC); 高档数控机床与基础制造装备科技重大专项项目(2015ZX04003002).

Reliability modeling of CNC machine tools system based on failure correlation analysis

ZHANG Ying-zhi1, LIU Jin-tong1, SHEN Gui-xiang1, QI Xiao-yan1, 2, LONG Zhe1   

  1. 1.College of Mechanical Science and Engineering, Jilin University, Changchun 130022,China;
    2.Department of Aircraft and Driving Force, Aviation University of Air Force, Changchun 130022,China
  • Received:2015-11-02 Online:2017-01-20 Published:2017-01-20

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摘要： 基于数控机床相关故障机理分析进行组件可靠性建模,并以组件可靠性模型为边缘分布,引入Copula函数,建立联合可靠性函数,通过样本得到Kendall秩相关系数来进行Copula函数参数估计,为相关故障条件下系统可靠性分析提供一种新的技术方法。最后,以加工中心为例,将本文方法与采用传统方法的组件可靠性串联模型、不考虑故障相关方向性的Copula函数模型进行对比,结果证明了模型的合理性和有效性。

关键词: 机床, 故障相关, 平均秩次法, 可靠性建模, Copula函数, Kendall秩相关系数

Abstract: A new technical approach is proposed for the reliability analysis of CNC machine tools system under the failure correlation. First, the component reliability models were built based on related failure mechanism analysis. Then, taking the component reliability models as the marginal distribution, the system joint reliability function was developed with the introduction of the Copula function. Third, the parameter of Copula function was estimated with the aid of Kendall rank correlation coefficient obtained from samples. Finally, a case study of machining center is carried out. Comparing with the component reliability series model and with the traditional Copula function model, the new Copula function model considering failure correlation directionality is ore rational and effective.

Key words: machine tool, failure correlation, average rank time method, reliability modeling, Copula function, Kendall rank correlation coefficient

中图分类号: 

  • TG659
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