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
[1] Ditlevsen O. Narrow reliability bounds for structural systems[J]. Journal of Structural Mechanics,1979, 7(4):453-472.
[2] Parkinson D B. Reliability bounds for dependent failures[J]. IEEE Transactions on Reliability,1988, 37(1):54-56.
[3] Zhao Y G, Ang A H S. System reliability assessment by method of moments[J]. Journal of Structural Engineering,2003,129(10):1341-1349.
[4] Feng Yuan-sheng. A method for computing structural system reliability with high accuracy[J]. Computers & Structures,1989,33(1):1-5.
[5] Ang A H S,Ma H F. On the reliability analysis of framed structures[C]∥The 4th ASCE Speciality Conference on Probabilistic Mechanics and Structural Reliability, Tucson, 1979:106-111.
[6] 胡秀庄. 具有中介状态和失效相关时抗震建筑结构可靠性分析研究[D]. 成都:西南石油大学石油与天然气工程学院,2004.
Hu Xiu-zhuang. Study on the reliability analysis of aseismic building structure with intermediate state and failure dependence[D]. Chengdu: College of Petroleum and Natural Gas Engineering, Southwest Petroleum University,2004.
[7] 张庆功. 考虑失效相关时不可修复工程系统的可靠性分析[D]. 成都:西南石油大学机电工程学院,2004.
Zhang Qing-gong. Reliability analysis of unrepairable engineering system considering failure dependence[D]. Chengdu: College of Mechatronics Engineering, Southwest Petroleum University,2004.
[8] 赵靖,张汝波,顾国昌. 考虑故障相关的软件可靠性增长模型研究[J]. 计算机学报,2007,30(10):1713-1720.
Zhao Jing,Zhang Ru-bo,Gu Guo-chang. Study of software reliability growth model considering failure dependency[J]. Chinese Journal of Computers,2007,30(10):1713-1720.
[9] 任震,梁振升,黄雯莹. 考虑相关故障的双回输电线路可靠性评估[J]. 电力自动化设备,2005,25(6):14-17.
Ren Zhen,Liang Zhen-sheng,Huang Wen-ying. Reliability evaluation of two parallel transmission lines with respect to relevant fault[J]. Electric Power Automation Equipment,2005,25(6):14-17.
[10] 张英芝,郑锐,申桂香,等. 基于Copula理论的数控装备故障相关性[J]. 吉林大学学报:工学版,2011,41(6):1636-1639.
Zhang Ying-zhi, Zheng Rui, Shen Gui-xiang,et al. Failure dependency of CNC equipment based on copula theory[J]. Journal of Jilin University (Engineering and Technology Edition), 2011,41(6):1636-1639.
[11] 王晓燕,申桂香,张英芝,等. 基于故障链的复杂系统故障相关系数建模[J]. 吉林大学学报:工学版,2015,45(2):442-447.
Wang Xiao-yan,Shen Gui-xiang,Zhang Ying-zhi,et al. Dependent coefficient model for complex system based on failure chains[J]. Journal of Jilin University (Engineering and Technology Edition),2015,45(2):442-447.
[12] 申桂香,孟书,张英芝,等. 平均秩次法在组件可靠性建模中的应用[J]. 吉林大学学报:工学版,2014,44(1):101-105.
Shen Gui-xiang, Meng Shu, Zhang Ying-zhi, et al. Application of average rank time method in reliability modeling for subsystems[J]. Journal of Jilin University (Engineering and Technology Edition), 2014, 44(1):101-105.
[13] 杜江,陈希镇,于波. Archimedean Copula 函数的参数估计[J]. 科学技术与工程,2009,9(3):637-640.
Du Jiang,Chen Xi-zhen,Yu Bo. Parameter estimation of Archimedean Copula[J]. Science Technology and Engineering, 2009,9(3): 637-640.
[14] 申桂香,贾亚洲,马健,等. CNC机床故障分析及其可靠性[J]. 中国机械工程,1996,7(6):67-69.
Shen Gui-xiang,Jia Ya-zhou,Ma Jian,et al.CNC machine tool failure analysis and reliability[J].China Mechanical Engineering,1996,7(6):67-69.
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