RESEARCH PAPER
Reliability allocation of mechanical transmission system considering motion accuracy stability and G-RCF model
1
College of Mechanical Engineering, Chongqing Technology and Business University, China
2
Chongqing Key Laboratory of Green Design and Manufacturing of Intelligent Equipment, Chongqing Technology and Business University, China
3
Chongqing City Vocational College, China
4
School of Mechanical Engineering, Yangzhou University, China
5
School of Intelligent Manufacturing Engineering, Chongqing University of Arts and Sciences, China
Submission date: 2025-05-07
Final revision date: 2025-06-20
Acceptance date: 2025-09-07
Online publication date: 2025-09-14
Publication date: 2025-09-14
Eksploatacja i Niezawodność – Maintenance and Reliability 2026;28(1):210408
HIGHLIGHTS
- A reliability allocation method for mechanical transmission system is proposed.
- A G-RCF model for meta-action unit is established.
- A mathematical model for reliability optimization allocation is established.
KEYWORDS
Reliability allocationMechanical transmission systemMotion accuracy stabilityMeta-actionGeneralized reliability-cost function (G-RCF)
TOPICS
ABSTRACT
The reliability of mechanical transmission systems and the stability of motion accuracy have a significant impact on the performance of CNC equipment. Existing studies have rarely established accurate reliability optimization allocation models. Therefore, a reliability allocation method that incorporates motion accuracy stability and a generalized reliability-cost function (G-RCF) is proposed. Firstly, the mechanical transmission system is decomposed by using the meta-action theory to obtain the meta-action units (MAUs). The motion accuracy stability, structural complexity, and comprehensive maintenance cost factors of MAUs are analyzed, and the traditional reliability-cost function is modified to obtain the generalized reliability-cost function. Then, taking the minimum generalized cost as target, a mathematical model for optimizing the allocation of system reliability is established. Using the intelligent algorithm to obtained the reliability design values of each MAU. Finally, the effectiveness of the proposed method is demonstrated through an engineering example.
ACKNOWLEDGEMENTS
This work is supported by the Natural Science Foundation of Chongqing (No. CSTB2022NSCQ-MSX1451, No. CSTB2023NSCQ-MSX0890), the Science and Technology Research Project of Chongqing Education Commission (No. KJQN202503909, No. KJQN202400830) and the National Natural Science Foundation of China (No. 52575562).
REFERENCES (36)
1.
Yang Z, He J, Liu Z, Li G, Chen C. Recent Progress in Reliability Technology of CNC Machine Tools. Journal of Mechanical Engineering 2023; 59:152. https://doi.org/10.3901/JME.20....
2.
Wang H, Zhang Z, Li J, Xin W, Han C. Fault analysis and reliability evaluation for motorized spindle of cycloidal gear grinding machine based on multi-source bayes. Eksploatacja i Niezawodność-Maintenance and Reliability 2023;26. https://doi.org/10.17531/ein/1....
3.
Weng Q, Ren S, Zhu B, Jin Y, Si F. Reconstruction-based stacked sparse auto-encoder for nonlinear industrial process fault diagnosis. Eksploatacja i Niezawodnosc-Maintenance and Reliability 2024: 26(1) http://doi.org/10.17531/ein/17....
4.
Gao S, Yu Y, Zhang Y. Reliability assessment and prediction of rolling bearings based on hybrid noise reduction and BOA-MKRVM. Engineering Applications of Artificial Intelligence 2022; 116:105391. https://doi.org/10.1016/j.enga....
5.
Zhong Y, Li G, He J, Chen C, Liu Y. Reliability allocation method combined with real working conditions under rough probabilistic linguistic environment. Expert Systems with Applications 2023; 224:119964. https://doi.org/10.1016/j.eswa....
6.
Kubica J, Ahmed B, Muhammad A, Aslam MU. Dynamic reliability calculation of random structures by conditional probability method. Eksploatacja i Niezawodność - Maintenance and Reliability 2024; 26. https://doi.org/10.17531/ein/1....
7.
Axita, Yang Z, Chen C, Guo J, Yang S. Reliability allocation method based on minimizing implementation risk. Expert Systems with Applications 2024; 255:124746. https://doi.org/10.1016/j.eswa....
8.
Yang Z, Zhu Y, Ren H, Zhang Y. Comprehensive reliability allocation method for CNC lathes based on cubic transformed functions of failure mode and effects analysis. Chinese Journal of Mechanical Engineering 2015; 28:315–24. https://doi.org/10.3901/CJME.2....
9.
Yu H, Zhang G, Ran Y, Li M, Wang Y. A comprehensive and practical reliability allocation method considering failure effects and reliability costs. Eksploatacja i Niezawodność – Maintenance and Reliability 2018; 20:244–51. https://doi.org/10.17531/ein.2....
10.
Cheng Q, Wang H, Liu Z, Zhang C, Sun D, Qi B. Reliability allocation method based on maximum entropy ordered weighted average and hesitant fuzzy Linguistic term set. Journal of Intelligent & Fuzzy Systems 2019; 37:7991–8004. https://doi.org/10.3233/JIFS-1....
11.
Du Y, Wu G, Tang Y, Cao H, Liu S. Reliability Allocation Method for Remanufactured Machine Tools Based on Fuzzy Evaluation Importance and Failure Influence. International Journal of Precision Engineering and Manufacturing-Green Technology 2021; 8:1617–28. https://doi.org/10.1007/s40684....
12.
Cao Y, Liu S, Fang Z, Dong W. Reliability Improvement Allocation Method Considering Common Cause Failures. IEEE Transactions on Reliability 2020; 69:571–80. https://doi.org/10.1109/TR.201....
13.
Bai B, Li Z, Zhang J, Zhang D, Fei C. Research on multiple‐state industrial robot system with epistemic uncertainty reliability allocation method. Quality and Reliability Engineering International 2021; 37:632–47. https://doi.org/10.1002/qre.27....
14.
Cheng Q, Wang C, Sun D, Chu H, Chang W. A new reliability allocation method for machine tools using the intuitionistic trapezoidal fuzzy numbers and TOPSIS. The International Journal of Advanced Manufacturing Technology 2023; 124:3689–700. https://doi.org/10.1007/s00170....
15.
Du Y, Wu G, Tang Y, Liu S. A two-stage reliability allocation method for remanufactured machine tools integrating neural networks and remanufacturing coefficient. Computers & Industrial Engineering 2022; 163:107834. https://doi.org/10.1016/j.cie.....
16.
Cheng Q, Kang Y, Yang C, Zhang C, Chen C. A new reliability allocation method for machine tools based on ITrFNs and AHP-GRA. The International Journal of Advanced Manufacturing Technology 2023; 124:4019–32. https://doi.org/10.1007/s00170....
17.
Gu D, Xu Z, Zhong Y, Li Q, Long Z. Reliability allocation method of comprehensive weight computer numerical control machine tool based on failure correlation and factor correlation. Quality and Reliability Engineering International 2023; 39:3285–302. https://doi.org/10.1002/qre.31....
18.
Li Y, Zhang G, Wang Y, Zhang X, Ran Y. Research on reliability allocation technology for NC machine tool meta-action. Quality and Reliability Engineering International 2019; 35:2016–44. https://doi.org/10.1002/qre.24....
19.
Li Y, Zhang X, Ran Y, Zhang G, Wang Y. Research on meta‐action decomposition and meta‐action unit modeling technology for electromechanical product. Quality and Reliability Engineering International 2020;36:268–84. https://doi.org/10.1002/qre.25....
20.
Yu H, Zhang G, Ran Y, Li M, Jiang D, Chen Y. A Reliability Allocation Method for Mechanical Product Based on Meta-Action. IEEE Transactions on Reliability 2020; 69:373–81. https://doi.org/10.1109/TR.201....
21.
Chen Y, Ran Y, Wang Z, Li X, Yang X, Zhang G. Meta-action reliability-based mechanical product optimization design under uncertainty environment. Engineering Applications of Artificial Intelligence 2021; 100:104174. https://doi.org/10.1016/j.enga....
22.
Li J, Wang H, Ran Y. Research on Reliability Allocation Method for Mechanical Systems Considering Performance Stability. China Mechanical Engineering 2024; 35:821-828,850.
23.
Chen Y. A reliability allocation method for mechanical products considering meta-action performance factors and failure correlation. Quality and Reliability Engineering International 2025; 41:732–46. https://doi.org/10.1002/qre.36....
24.
Zhang W, Du Y, Zhu Q. A hybrid approach for reliability allocation of NC machine tool based on meta-action. The International Journal of Advanced Manufacturing Technology 2023; 127:4067–79. https://doi.org/10.1007/s00170....
25.
Li J, Wang H, Mu Z, Li Y, Du Y. A new reliability allocation method for mechanical systems considering parts recycling and performance stability. Computers & Industrial Engineering 2025; 200:110792. https://doi.org/10.1016/j.cie.....
26.
Ai Y, Cui P, Li Y, Zhang W. Research on reliability allocation strategy for gear transmission systemof high-speed train. Eksploatacja i Niezawodność-Maintenance and Reliability 2022; 24:574–82. https://doi.org/10.17531/ein.2....
27.
Jian L, Yan R, Hongwei W, Zongyi M, Genbao Z. A tolerance analysis method for complex mechanical products based on meta-action unit. The International Journal of Advanced Manufacturing Technology 2021; 117:1377–93. https://doi.org/10.1007/s00170....
28.
Jin C, Ran Y, Zhang G. Reliability coupling mechanism analyses of T-translation-type contemporaneous meta-action in CNC machine tools. The International Journal of Advanced Manufacturing Technology 2023; 124:4523–49. https://doi.org/10.1007/s00170....
29.
Xiao L, Huang G, Zhang G, Zhu X, Jin C. A failure tracing method with hierarchical digraph and meta action for complex electromechanical systems. Quality and Reliability Engineering International 2022; 38:2622–48. https://doi.org/10.1002/qre.30....
30.
Li Y, Wu C, Zhang X, Ran Y, Zhang G. Early failure mechanism research of electromechanical product based on meta-action. Engineering Failure Analysis 2021; 122:105217. https://doi.org/10.1016/j.engf....
31.
Li J, Li Y, Wen S, Zhang G. A novel method of key meta-action unit integrated identification for CNC machine tool reliability. Computers & Industrial Engineering 2023; 177:109073. https://doi.org/10.1016/j.cie.....
32.
Li Y, Li J, Zhang X, Wen S, Zhang Z, Zhang G. Nonlinear prediction and analysis of the precision remaining useful life of the key meta-action unit of CNC machine tools with incomplete maintenance. Computers & Industrial Engineering 2023; 183:109460. https://doi.org/10.1016/j.cie.....
33.
Falcone D, Silvestri A, Di Bona G, Forcina A. Mathematical Models for Reliability Allocation and Optimization for Complex Systems. In: De Felice F, Petrillo A, editors. Human Factors and Reliability Engineering for Safety and Security in Critical Infrastructures, Cham: Springer International Publishing; 2018, p. 43–76. https://doi.org/10.1007/978-3-....
34.
Si S, Liu M, Jiang Z, Jin T, Cai Z. System Reliability Allocation and Optimization Based on Generalized Birnbaum Importance Measure. IEEE Transactions on Reliability 2019; 68:831–43. https://doi.org/10.1109/TR.201....
35.
ElMaraghy WH, Urbanic RJ. Modelling of Manufacturing Systems Complexity. CIRP Annals 2003; 52:363–6. https://doi.org/10.1016/S0007-....
36.
Samy SN, ElMaraghy H. A model for measuring products assembly complexity. International Journal of Computer Integrated Manufacturing 2010; 23:1015–27. https://doi.org/10.1080/095119....
| eISSN: | 2956-3860 |
| ISSN: | 1507-2711 |
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