Reliability Modelling of CNC Machine Tools Based on the Improved Maximum Likelihood Estimation Method. (10th May 2018)

• Record Type: Journal Article
• Authors: Yang, Zhaojun; Zhu, Dong; Chen, Chuanhai; Tian, Hailong; Guo, Jinyan; Li, Shizheng
• Other Names: Boscariol Paolo Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2018(2018)
• Publication Date: 2018-05-10
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2018/4260508
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : The existing standard reliability models for computerized numerical control (CNC) machine tools are not satisfactory and they fall short of predicting failure rates or lifetime of key functional parts of CNC machine tools. This is attributed to two reasons: the small sample size of failure data and a large truncated ratio of the censored failure data. Improved correction method (ICM), maximum likelihood estimation (MLE), and empirical maximum likelihood estimation (EMLE) are presented and compared with each other in this study. In order to improve the shortage of reliability models developed by the traditional methods, an improved maximum likelihood estimation method (IMLE) is proposed through enlarging censored failure data. Moreover, the correction factors of mean ratio to extend censored time are designed, by which the censored failure data can be close to the true time between failures (TBF). Furthermore, a solution method of correction factors considering amount of calculation is proposed to meet the requirements of calculation precision. Finally, verification by the orthogonal experiment is simulated to verify the proposed model. The verifying test results show that the proposed method can be applied in reliability modelling for not only CNC machine tools but also the key functional parts of CNC machine tools.