A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model
查看参考文献30篇
文摘
|
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. |
来源
|
Chinese Journal of Mechanical Engineering
,2018,31(6):111 【核心库】
|
DOI
|
10.1186/s10033-018-0303-9
|
关键词
|
CNC lathe
;
Copula
;
Failure correlation
;
Reliability model
;
Reliability allocation
|
地址
|
1.
School of Mechanical Engineering and Automation, Northeastern University, Shenyang, 110819
2.
Equipment Reliability Institute, Shenyang University of Chemical Technology, Shenyang, 110142
|
语种
|
英文 |
文献类型
|
研究性论文 |
ISSN
|
1000-9345 |
学科
|
金属学与金属工艺 |
基金
|
国家自然科学基金
;
国家973计划
;
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
|
文献收藏号
|
CSCD:6423465
|
参考文献 共
30
共2页
|
1.
Zhang Y M. Connotation and development of mechanical reliabilitybased design.
Journal of Mechanical Engineering. (in Chinese),2010,46(14):167-188
|
CSCD被引
3
次
|
|
|
|
2.
Zhang Y M. The reliability syllabus of mechanical products.
Journal of Mechanical Engineering. (in Chinese),2014,50(14):14-20
|
CSCD被引
2
次
|
|
|
|
3.
Wu J. A reliability assessment method based on support vector machines for CNC equipment.
Science in China Series E: Technological Sciences,2009,52(7):1849-1857
|
CSCD被引
12
次
|
|
|
|
4.
Li C Y. Reliability optimization design for stochastic static deformation of computer numerical control lathe spindle.
Proceedings of the Institution of Mechanical Engineers, Part B: Journal of Engineering Manufacture,2016,230(1):83-90
|
CSCD被引
1
次
|
|
|
|
5.
Yang Z. A comprehensive reliability allocation method for series systems based on failure mode and effects analysis transformed functions.
Proceedings of the Institution of mechanical Engineers, Part B: Journal of Engineering Manufacture,2016,230(12):2239-2248
|
CSCD被引
4
次
|
|
|
|
6.
Sun Y. An analytical model for interactive failures.
Reliability Engineering & System Safety,2006,91(5):495-504
|
CSCD被引
16
次
|
|
|
|
7.
Cheng Y. System reliability analysis with dependent component failures during early design stage-a feasibility study.
Journal of Mechanical Design,2016,138(5):051405
|
CSCD被引
4
次
|
|
|
|
8.
Chen Y. Failure mechanism dependence and reliability evaluation of non-repairable system.
Reliability Engineering & System Safety,2015,138:273-283
|
CSCD被引
9
次
|
|
|
|
9.
Shen G X. Determination of the average maintenance time of CNC machine tools based on type II failure correlation.
Maintenance and Reliability,2017,19(4):604-614
|
CSCD被引
1
次
|
|
|
|
10.
Wang C. Reliability assessment of aging structures subjected to gradual and shock deteriorations.
Reliability Engineering & System Safety,2017,161:78-86
|
CSCD被引
4
次
|
|
|
|
11.
Huang M S. An approach for improvement of avionics reliability assessment based on copula theory.
9th International Conference on Reliability, Maintainability and Safety,2011:179-183
|
CSCD被引
1
次
|
|
|
|
12.
Mou P B. A copula-based function model in fuzzy reliability analysis on the planetary steering gear.
International Conference on Quality, Reliability, Risk, Maintenance, and Safety Engineering,2013:375-378
|
CSCD被引
1
次
|
|
|
|
13.
Zhang Y Z. Failure dependency of CNC equipment based on copula theory.
Journal of Jilin University (Engineering and Technology Edition). (in Chinese),2011,41(6):1636-1640
|
CSCD被引
1
次
|
|
|
|
14.
Chen Z Z. A reliability allocation method considering failure dependence.
ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference,2013:V008T12A006
|
CSCD被引
2
次
|
|
|
|
15.
Liu Z. Reliability analysis of series system based on copula function.
China Measurement & Test. (in Chinese),2013,39(1):125-128
|
CSCD被引
1
次
|
|
|
|
16.
Nelsen R B.
An introduction to Copulas. 2nd ed,2006
|
CSCD被引
34
次
|
|
|
|
17.
Li X.
Methods and applications of COPULA,2014
|
CSCD被引
1
次
|
|
|
|
18.
Sklar A. Random variables, distribution functions, and copulas: a personal look backward and forward.
Lecture Notes-Monograph Series, 28,1996:1-14
|
CSCD被引
1
次
|
|
|
|
19.
You Y P. Allocating active redundancies to k-out-of-n reliability systems with permutation monotone component lifetimes.
Applied Stochastic Models in Business and Industry,2016,32(5):607-620
|
CSCD被引
1
次
|
|
|
|
20.
Tang J Y. Copula new theory for reliability calculation involving correlation in mechanical systems.
Mechanical Science and Technology for Aerospace Engineering. (in Chinese),2009,28(4):532-535,541
|
CSCD被引
2
次
|
|
|
|
|