A copula-based function model in fuzzy reliability analysis on the planetary steering gear

Mou, Pengbo; Tao, Fenghe; Jia, Chen; Ma, Wanli

doi:10.1109/qr2mse.2013.6625605

Cited by 2 publications

(4 citation statements)

References 1 publication

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“…Then, failure rates of the other N − 1 subsystems can be obtained according to Eq. (12). Reliability results of each subsystem after allocation when t = 1 are R 1 = e − * 1 , R 2 = e − * 2 , .…”

Section: A Reliability Allocation Methods Of Cnc Lathes Considering Famentioning

confidence: 99%

“…Huang et al [11] established avionics reliability assessment model based on Copula theory considering two kinds of failure modes. Mou et al [12] researched reliability model of planetary steering gear using fault tree analysis and fuzzy theory. Zhang et al [13] discussed failure correlation of CNC equipment taking CNC machine as an illustrative example, and compared the results with that of traditional series model.…”

Section: Introductionmentioning

confidence: 99%

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A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model

Wang

Zhang

Yang

2018

Chin. J. Mech. Eng.

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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.

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Section: A Reliability Allocation Methods Of Cnc Lathes Considering Famentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model

Wang

Zhang

Yang

2018

Chin. J. Mech. Eng.

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“…The parameters ln N and ln N of each stress level calculated by using (7) and (8) are listed in Table 4.…”

Section: = +mentioning

confidence: 99%

“…Based on the linear damage theory, a long-term fatigue damage analysis method for the gear bending fatigue of the wind turbine is developed [6,7]. By the introduction of correlation coefficient, the reliability models of the gear system considering failure-dependence are developed [8][9][10]. Recently, Xie [11] considered the gear system as multiconfiguration system and built the reliability models considering the tooth-pair meshing sequence based on the stress-strength interference theory.…”

Section: Introductionmentioning

confidence: 99%

Reliability Modeling and Estimation of the Gear System

Bai

Xie

et al. 2018

Mathematical Problems in Engineering

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Traditional reliability models of the gear system either simplify the gear system unreasonably or are too complicated to be applicable for some gear systems. Therefore, a reliability model of the gear system considering statistically dependent failure based on the theory of the order statistics is developed in this paper. Firstly, the gear bending fatigue test of small sample is implemented to obtain the P-S-N curves that are fitted by using the least square method and the linear regression method of the statistical parameters under the test stress levels. Then, according to stress-strength interference theory and the theory of the order statistics, the reliability models considering the number of load cycles from a gear to gear system are built, which indicates clear modeling process of the gear system. Finally, the proposed reliability model of gear system is validated by using the Monte Carlo Simulation (MCS) and the system reliability under special load history is analyzed qualitatively.

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A copula-based function model in fuzzy reliability analysis on the planetary steering gear

Cited by 2 publications

References 1 publication

A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model

A Reliability Allocation Method of CNC Lathes Based on Copula Failure Correlation Model

Reliability Modeling and Estimation of the Gear System

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