Title: A new reliability analysis method for horizontal machining centre based on proportion intensity model and nonlinear mixed-effects model

Authors: Haiping Zhu; Fanmao Liu; Boxin Liu

Addresses: State Key Laboratory of Digital Manufacturing Equipment & Technology, Huazhong University of Science & Technology, Wuhan 430074, Hubei, China ' Hunan Provincial Key Laboratory of Mechanical Equipment Health Maintenance, Hunan University of Science & Technology, Xiangtan 411201, Hunan, China ' State Key Laboratory of Digital Manufacturing Equipment & Technology, Huazhong University of Science & Technology, Wuhan 430074, Hubei, China

Abstract: The reasonable reliability model is needed to best approximate the engineering reality and capture the physical intrinsic underlying mechanisms of the repairable systems. Traditional reliability models are inadequate in modelling the field failure data, as they ignore individual copy-specific random effects and correlation among repeated measurements. This paper presents an integrated method based on modified proportional intensity model and nonlinear mixed-effect model. This method can capture the intrinsic characteristic of engineering systems and evaluate quantitatively the effects of deterioration and repair on the reliability of equipment. Especially, the analytical solutions of reliability and the failure rate of equipment can be obtained by this method. Then, a case study is presented based on field failure data for 14 horizontal machining centres (HMC) over one year. The results demonstrate the effectiveness of this integrated method to analyse the reliability of multi-copy repairable systems.

Keywords: HMC; horizontal machining centres; proportion intensity model; nonlinear mixed-effects model; reliability analysis; machining centre reliability; modelling; equipment deterioration; equipment repair; equipment reliability; multi-copy repairable systems.

DOI: 10.1504/IJRS.2014.069525

International Journal of Reliability and Safety, 2014 Vol.8 No.2/3/4, pp.299 - 313

Received: 12 Apr 2014
Accepted: 09 Mar 2015
Published online: 20 May 2015 *

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