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A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model
Alternative TitleA Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model
Wang Hao1; Zhang YiMin2; Yang Zhou1
2018
Source PublicationChinese Journal of Mechanical Engineering
ISSN1000-9345
Volume31Issue:1Pages:1-9
AbstractAbstract The current research of reliability allocation of CNC lathes always treat CNC lathes as independent series systems. However, CNC lathes are complex systems in the actual situation. Failure correlation is rarely considered when reliability allocation is conducted. In this paper, drawbacks of reliability model based on failure independence assumption are illustrated, after which, reliability model of CNC lathes considering failure correlation of subsystems is established based on Copula theory, which is an improvement of traditional reliability model of series systems. As the failure time of CNC lathes often obeys Weibull or exponential distribution, Gumbel Copula is selected to build correlation model. After that, a reliability allocation method considering failure correlation is analyzed based on the model established before. Reliability goal is set first and then failure rates are allocated to subsystems according to the allocation vector through solving the correlation model. Reliability allocation is conducted for t?=?1. A real case of a CNC lathe and a numerical case are presented together to illustrate the advantages of the reliability model established considering failure correlation and the corresponding allocation method. It shows that the model accords to facts and real working condition more, and failure rates allocated to all the subsystems are increased to some extent. This research proposes a reliability allocation method which takes failure correlation among subsystems of CNC lathes into consideration, and costs for design and manufacture could be decreased.
Other AbstractThe current research of reliability allocation of CNC lathes always treat CNC lathes as independent series systems. However, CNC lathes are complex systems in the actual situation. Failure correlation is rarely considered when reliability allocation is conducted. In this paper, drawbacks of reliability model based on failure independence assumption are illustrated, after which, reliability model of CNC lathes considering failure correlation of subsystems is established based on Copula theory, which is an improvement of traditional reliability model of series systems. As the failure time of CNC lathes often obeys Weibull or exponential distribution, Gumbel Copula is selected to build correlation model. After that, a reliability allocation method considering failure correlation is analyzed based on the model established before. Reliability goal is set first and then failure rates are allocated to subsystems according to the allocation vector through solving the correlation model. Reliability allocation is conducted for t = 1. A real case of a CNC lathe and a numerical case are presented together to illustrate the advantages of the reliability model established considering failure correlation and the corresponding allocation method. It shows that the model accords to facts and real working condition more, and failure rates allocated to all the subsystems are increased to some extent. This research proposes a reliability allocation method which takes failure correlation among subsystems of CNC lathes into consideration, and costs for design and manufacture could be decreased.
KeywordCNC lathe Copula Failure correlation Reliability model Reliability allocation Ocean engineering TC1501-1800 Mechanical engineering and machinery TJ1-1570
Indexed ByCSCD
Language英语
Funding Project[National Natural Science Foundation of China] ; [National Basic Research Program of China (973 Program)] ; [High-class CNC Machine Tools and Basic Manufacturing Equipment of Important National Science and Technology Specific Projects] ; [National Key Laboratory of Mechanical System and Vibration Project] ; [Scientific Research Business Fund of Central Colleges and Universities] ; [Excellent Talents Support Program for Colleges and Universities in Liaoning Province of China]
CSCD IDCSCD:6423465
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Document Type期刊论文
Identifierhttp://ir.imr.ac.cn/handle/321006/157082
Collection中国科学院金属研究所
Affiliation1.东北大学
2.中国科学院金属研究所
Recommended Citation
GB/T 7714
Wang Hao,Zhang YiMin,Yang Zhou. A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model[J]. Chinese Journal of Mechanical Engineering,2018,31(1):1-9.
APA Wang Hao,Zhang YiMin,&Yang Zhou.(2018).A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model.Chinese Journal of Mechanical Engineering,31(1),1-9.
MLA Wang Hao,et al."A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model".Chinese Journal of Mechanical Engineering 31.1(2018):1-9.
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