Abstract：Computer numerical control (CNC) machine tools are typical repairable electro-hydraulic mechanical systems. Repair activities do not return the machine tool to like-new conditions, but to some intermediate state of general repair. A superposed log-linear proportional intensity model (S-LPIM) was used here to model the general repair state of machine tools using a least squares parameter estimation method. A failure intensity model was used to calculate a reliability evaluation index for the CNC machine tool with the failure probability and repair efficiency of the CNC machine tool evaluated based on the likelihood ratio test method. Tests of the reliability of three CNC machining centers verified that the S-LPIM model can fit the failure rate bathtub curve of machine tools and quantitatively describe the effect of maintenance activities on the machine tool reliability.
朱斌, 王立平, 吴军, 赖寒松. 面向不完全维修数控机床的可靠性建模与评估[J]. 清华大学学报（自然科学版）, 2022, 62(5): 965-970.
ZHU Bin, WANG Liping, WU Jun, LAI Hansong. Reliability modeling and evaluation of CNC machine tools for a general state of repair. Journal of Tsinghua University(Science and Technology), 2022, 62(5): 965-970.
[1] 杨兆军, 陈传海, 陈菲, 等. 数控机床可靠性技术的研究进展[J]. 机械工程学报, 2013, 49(20):130-139. YANG Z J, CHEN C H, CHEN F, et al. Progress in the research of reliability technology of machine tools[J]. Journal of Mechanical Engineering, 2013, 49(20):130-139. (in Chinese) [2] 程强, 孙东洋, 刘志峰, 等. 基于模糊数和AHP的数控机床可靠性分配方法[J]. 组合机床与自动化加工技术, 2020(2):34-37, 42. CHENG Q, SUN D Y, LIU Z F, et al. Reliability allocation method of CNC machine tools based on fuzzy numbers and AHP[J]. Modular Machine Tool & Automatic Manufacturing Technique, 2020(2):34-37, 42. (in Chinese) [3] 张英芝, 贾亚洲, 申桂香, 等. 基于随机截尾的数控机床故障分布模型研究[J]. 系统工程理论与实践, 2005, 25(2):134-138. ZHANG Y Z, JIA Y Z, SHEN G X, et al. Research on model of failure distribution for numerical machine with random ending method[J]. Systems Engineering-Theory & Practice, 2005, 25(2):134-138. (in Chinese) [4] 杨建国, 王智明, 王国强, 等. 数控机床可靠性指标的似然比检验区间估计[J]. 机械工程学报, 2012, 48(2):9-15, 22. YANG J G, WANG Z M, WANG G Q, et al. Likelihood ratio test interval estimation of reliability indices for numerical control machine tools[J]. Journal of Mechanical Engineering, 2012, 48(2):9-15, 22. (in Chinese) [5] 许彬彬, 杨兆军, 陈菲, 等. 非齐次泊松过程的数控机床可靠性建模[J]. 吉林大学学报(工学版), 2011, 41(S2):210-214. XU B B, YANG Z J, CHEN F, et al. Reliability model of CNC machine tools based on non-homogenous poisson process[J]. Journal of Jilin University (Engineering and Technology Edition), 2011, 41(S2):210-214. (in Chinese) [6] 罗静, 程家龙, 杨立波, 等. 基于非齐次泊松过程的数控系统可靠性建模[J]. 现代制造工程, 2019(9):137-140. LUO J, CHENG J L, YANG L B, et al. Reliability model of CNC system based on non-homogenous poisson process[J]. Modern Manufacturing Engineering, 2019(9):137-140. (in Chinese) [7] 张根保, 李冬英, 刘杰, 等. 面向不完全维修的数控机床可靠性评估[J]. 机械工程学报, 2013, 49(23):136-141. ZHANG G B, LI D Y, LIU J, et al. Reliability assessment for multiple NC machine tools oriented to general repair[J]. Journal of Mechanical Engineering, 2013, 49(23):136-141. (in Chinese) [8] WANG Z M, YANG J G. Numerical method for Weibull generalized renewal process and its applications in reliability analysis of NC machine tools[J]. Computers & Industrial Engineering, 2012, 63(4):1128-1134. [9] 王智明. 数控机床的可靠性评估与不完全预防维修及其应用[D]. 上海:上海交通大学, 2011. WANG Z M. Reliability assessment and imperfect preventive maintenance for NC machine tools and their applications[D]. Shanghai:Shanghai Jiao Tong University, 2011. (in Chinese) [10] 许彬彬. 基于维修程度的数控机床可靠性建模与分析[D]. 长春:吉林大学, 2011. XU B B. Study on reliability modeling and analysis of CNC machine tools based on maintenance degree[D]. Changchun:Jilin University, 2011. (in Chinese) [11] GUO H R, LIAO H T, ZHAO W B, et al. A new stochastic model for systems under general repairs[J]. IEEE Transactions on Reliability, 2007, 56(1):40-49. [12] 张根保, 张坤能, 王扬, 等. 多台数控机床强度函数浴盆曲线建模技术研究[J]. 机械科学与技术, 2016, 35(1):104-108. ZHANG G B, ZHANG K N, WANG Y, et al. Research on intensity function bathtub curve model for multiple CNC machine tools[J] Mechanical Science and Technology for Aerospace Engineering, 2016, 35(1):104-108. (in Chinese) [13] 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)
2022, Vol. 62 
