Reliability Modelling of CNC Machine Tools Based on the Improved Maximum Likelihood Estimation Method

Author:

Yang Zhaojun1,Zhu Dong1,Chen Chuanhai1ORCID,Tian Hailong1,Guo Jinyan1,Li Shizheng1

Affiliation:

1. School of Mechanical Science and Engineering, Jilin University, Changchun, China

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.

Funder

National Natural Science Foundation of China

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

Cited by 3 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Optimization of Manufacturing Production and Process;Smart Manufacturing - When Artificial Intelligence Meets the Internet of Things;2021-01-14

2. A review of prognostics and health management of machine tools;The International Journal of Advanced Manufacturing Technology;2020-03

3. A new approach for product quality prediction of complex equipment by grey system theory: A case study of cutting tools for CNC machine tool;Advances in Production Engineering & Management;2019-12-21

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