Research on Intensity Function Bathtub Curve Model for Multiple CNC Machine Tools
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摘要: 为了准确描述复杂产品故障过程的浴盆曲线趋势,建立多台数控机床的强度函数浴盆曲线模型,并采用极大似然方法对模型进行参数估计。利用基于试验总时间(TTT)的趋势检验方法验证故障过程的浴盆曲线趋势。从浴盆曲线两转折点的可靠性含义出发,对累计平均无故障工作时间进行分析,提出一种确定浴盆曲线转折点的方法。通过对3台数控磨床的实例计算和分析,说明本文模型与方法在实际应用中的有效性。Abstract: To accurately describe the bathtub curve trend of complex products during the failure process, the intensity function bathtub curve model for multiple CNC machine tools is built, and its parameters are estimated through Maximum Likelihood Estimation, along with some numerical method. The hypothesis testing for trend based on TTT(Total Time on Test) is introduced and applied to test and verify the bathtub failure trend. Considering the reliability implication of two turning points of bathtub curve, we propose a method of determining the turning points on the basis of analyzing features of the cumulative mean time between failures. The model and method proposed in this paper are demonstrated to be effective in practical applications, through computing and analyzing failure data of three CNC grinding machines from field test.
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Key words:
- efficiency /
- experiments /
- functions /
- grinding machines /
- information fusion
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[1] Ascher H. Different insights for improving part and system reliability obtained from exactly same DFOM "failure numbers"[J]. Reliability Engineering and System Safety, 2007,92(5):552-559 [2] 廖小波.机床故障率浴盆曲线定量化建模及应用研究[D].重庆:重庆大学,2010 Liao X B. Quantitative modeling & application study of failure rate bathtub curve of machine tool[D]. Chongqing:Chongqing University, 2010(in Chinese) [3] 陈殿生,王田苗,魏洪兴.数控车床故障分布的两重威布尔分段模型[J].北京航空航天大学学报,2005,31(7):766-769 Chen D S, Wang T M, Wei H X. Sectional model involving two weibull distributions for CNC lathe failure probability[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005,31(7):766-769(in Chinese) [4] Høyland A, Rausand M. System reliability theory:models and statistical methods[M]. New York:Wiley, 2009 [5] Kumar D, Klefsj O B. Proportional hazards model:a review[J]. Reliability Engineering and System Safety, 1994,44(2):177-188 [6] Pulcini G. Modeling the failure data of a repairable equipment with bathtub type failure intensity[J]. Reliability Engineering and System Safety, 2001,71(2):209-218 [7] Mun B M, Bae S J. Optimal maintenance policy of repairable system with bathtub shaped intensity[C]//Proceedings of the 2011 International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering, Xi'an:IEEE, 2011:431-435 [8] Jiang R. A new bathtub curve model with a finite support[J]. Reliability Engineering and System Safety, 2013,119:44-51 [9] Jiang R. Determination of two change points of a bathtub failure rate curve[C]//Proceedings of the 19th International Conference on Industrial Engineering and Engineering Management, Berlin:Springer, 2013:619-629 [10] GB/T 3187-1994,可靠性、维修性术语[S].北京:中国标准出版社,1994 GB/T 3187-1994, Reliability and maintainability terms[S]. Beijing:China Standard Publishing House, 1994(in Chinese) [11] GB/T 23567.1-2009,数控机床可靠性评定 第1部分:总则[S].北京:中国标准出版社,2010 GB/T 23567.1-2009, Reliability evaluation for numerical control machine tools-Part 1:General rule[S]. Beijing:China Standard Publishing House, 2010(in Chinese) [12] Kvaløy J T, Lindqvist B H. TTT-based tests for trend in repairable systems data[J]. Reliability Engineering and System Safety, 1998,60(1):13-28 [13] Caroni C. "Failure limited" data and TTT-based trend tests in multiple repairable systems[J]. Reliability Engineering and System Safety, 2010,95(6):704-706 [14] Vaurio J K. Identification of process and distribution characteristics by testing monotonic and non-monotonic trends in failure intensities and hazard rates[J]. Reliability Engineering and System Safety, 1999,64(3):345-357 [15] Rajarshi S, Rajarshi M B. Bathtub distributions:a review[J]. Communications in Statistics-Theory and Methods, 1988,17(8):2597-2621
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