吉林大学学报(工学版) ›› 2014, Vol. 44 ›› Issue (01): 101-105.doi: 10.13229/j.cnki.jdxbgxb201401018

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Application of average rank time method in reliability modeling for subsystems

SHEN Gui-xiang1, MENG Shu1,2, ZHANG Ying-zhi1, QI Xiao-yan1, LUAN Lan1, SONG Qi1   

  1. 1. College of Mechanical Science and Engineering, Jilin University, Changchun 130022, China;
    2. College of Management, Jilin University, Changchun 130022, China
  • Received:2013-02-04 Online:2014-01-01 Published:2014-01-01

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Abstract:

This paper presents a method of the reliability modeling of a series system. Such a system is composed of several mutual independent subsystems, and the system life-time obeys two-parameter Weibull distribution. In this method, when one of subsystems is failure, the fault data of the other subsystems are processed as censored data, and the failure sequence is revised using the average rank time method. This method can be applied for model parameter estimation and fitting test to reduce the modeling error and improve the accuracy. Finally, as a case study, the real data of a Computerized Numerical Control (CNC) are used to demonstrate the application of the proposed method, which verifies the effectiveness and applicability of the method.

Key words: machine tool, average rank time method, censoring data, series system, reliability modeling, Weibull distribution

CLC Number: 

  • TP202

[1] E.E.刘易斯.实用可靠性工程[M].李莉, 译.北京:航空工业出版社, 1991.

[2] 刘淑芬, 金钊. 基于分治法的系统可靠性建模方法[J]. 吉林大学学报:理学版, 2011, 49(4):713-716. Liu Shu-fen, Jin Zhao. System reliability modeling based on divide and conquer[J]. Journal of Jilin University (Science Edition), 2011, 49(4):713-716.

[3] Angela Adamyan, David He.Sequential failure analysis using counters of Petri net models[J].IEEE Transactions on Systems, Man and Cybernetics, 2003, 33(1):1-11.

[4] 郭学东, 张立业, 董丽娟, 等. 桥梁系统可靠性评估方法[J]. 吉林大学学报:工学版, 2012, 42(3):634-638. Guo Xue-dong, Zhang Li-ye, Dong Li-juan, et al. Bridge system reliability assessment method[J]. Journal of Jilin University (Engineering and Technology Edition), 2012, 42(3):634-638.

[5] 杨丽丽, 贾洪飞, 隽志才. 轨道交通枢纽换乘系统可靠性及其影响因素[J]. 吉林大学学报:工学版, 2011, 41(4):944-949. Yang Li-li, Jia Hong-fei, Juan Zhi-cai. Transfer system reliability and its influencing factors of rail transit terminal[J]. Journal of Jilin University (Engineering and Technology Edition), 2011, 41(4):944-949.

[6] 曾生奎, 赵廷弟, 张建国.系统可靠性设计分析教程[M].北京.北京航空航天大学出版社, 2001.

[7] 埃贝灵C E. 可靠性与维修性工程概论[M].康锐, 译.北京:清华大学出版社, 2010.

[8] 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(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(6): 67-69.

[9] 张海波, 贾亚洲, 周广文. 数控系统故障间隔时间分布模型的研究[J]. 哈尔滨工业大学学报, 2005, 37(2):198-200. Zhang Hai-bo, Jia Ya-zhou, Zhou Guang-wen. Time between failures distribution model of CNC system[J]. Harbin Institute of Technology, 2005, 37(2):198-200.

[10] 刘峰, 何真, 曹正清, 等.机械可靠性数据处理中优选分布类型的探讨[J].机械设计与制造, 1998(6):3-5. Liu Feng, He Zhen, Cao Zheng-qing, et al. Discussion on optimization distribution of mechanical reliability data processing[J]. Mechanical Design and Manufacturing, 1998(6):3-5.
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