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

• Orginal Article • Previous Articles     Next Articles

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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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

CLC Number: 

  • 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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