Reliability assessment of high‐quality and long‐life products based on zero‐failure data

Li, Haiyang; Xie, Liyang; Li, Ming; Ren, Jungang; Zhang, Shijian

doi:10.1002/qre.2398

Cited by 20 publications

(8 citation statements)

References 27 publications

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“…The parameters β and θ have different influence on the density function curves [25]. The larger of the shape parameter β, the steeper of the pdf curve.…”

Section: Reliability Assessment Of Cutting Tools 21 Tool Life Distrimentioning

confidence: 99%

Reliability assessment of cutting tools based on zero-failure data

Yang¹,

Guo²,

Feng³

et al. 2020

Preprint

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Titanium alloys are widely utilized in aeronautical monolithic components due to their excellent mechanical properties. However, the low machinability of titanium alloys results in an uncertain lifetime of cutting tools. Reliability assessment on cutting tools has become more and more significant to the effectiveness and stability of machining systems. Considering that cutting tools are often replaced well before the end of their useful lifetime to avoid failures and thus few tools failure data can be obtained during the machining process of titanium alloys, a reliability assessment model based on zero-failure data is developed to evaluate the reliability of cutting tools. A Weibull distribution model is chosen to describe the life distribution of cutting tools for reliability evaluation. Matching distribution curve method and weighted least squares method are used to estimate the distribution parameters. A novel approach using hierarchical Bayesian method for estimating the prior distribution of failure probability with zero-failure data is proposed by combining the characteristics of Weibull distribution and Incomplete Beta distribution. Reliability analysis for cutting tools with zero-failure data is performed using the proposed method. By comparing with the experience of experts and adopting stochastic simulation, the results of point estimation show plausibility of the proposed approach.

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“…The parameters β and θ have different influence on the density function curves [25]. The larger of the shape parameter β, the steeper of the pdf curve.…”

Section: Reliability Assessment Of Cutting Tools 21 Tool Life Distrimentioning

confidence: 99%

Reliability assessment of cutting tools based on zero-failure data

Yang¹,

Guo²,

Feng³

et al. 2020

Preprint

View full text Add to dashboard Cite

show abstract

“…where p i ∈ [l i , u i ] is the value obtained from (11). Under the square loss assumption, the poster distribution expected value of Bayesian poster point estimation p i is…”

Section: Prior Distribution Form and Distribution Parametersmentioning

confidence: 99%

“…With regard to the confidence interval problem of reliability parameters under the condition of no failure data, the optimal confidence limit method was proposed [10] and the point estimation of reliability parameters and the oneside confidence lower limit of parameters were obtained. Li et al [11] proposed a new model to solve the consistency problem, which improved the accuracy of reliability interval estimation based on the reliability evaluation. e product reliability problem under unequal time censored failure data was studied [12].…”

Section: Introductionmentioning

confidence: 99%

Reliability Assessment for Very Few Failure Data and Weibull Distribution

Zhang

Jin

You

2019

Mathematical Problems in Engineering

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Only very few failure data can be obtained for the time censored test of high-reliability and long-life products. For very few failure data, the current methods fail to obtain both the point estimation and confidence interval of reliability parameters. If the point estimation and confidence interval of reliability parameters are obtained based on different methods, the results tend to be unreliable. In this study, based on the existing research, a Bayesian reliability evaluation method for very few failure data under the Weibull distribution was proposed. First, the range of failure probability was limited based on the convexity and self-features of the Weibull distribution function. Second, based on the background of the sample with very few failure data, the pretest distribution function and parameters were set and solved. The point estimation and confidence interval model of failure probability based on the Bayesian formula was established. The improved match distribution curve method was used to compute both the point estimation and confidence interval of reliability parameters. Furthermore, by comparing the results of numerical examples, the calculation results obtained by the proposed method were verified as being very reasonable. Finally, taking wet friction plates as an example, the results showed the effectiveness of this method in engineering practice.

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“…Because of the characteristics of these products' long life and high reliability, there are very few traumatic failures in their whole life cycle. Therefore, many references have conducted research on product reliability modeling and life assessment methods with zero traumatic failure information [1][2][3][4]. Fu, H.M. and Zhang, Y.B.…”

Section: Introductionmentioning

confidence: 99%

Life Assessment for Motorized Spindle with Zero Traumatic Failure Data Based on Subdistribution Competing Risk Model

et al. 2023

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Considering the influence of performance degradation on a product’s traumatic failure, under the condition that only degradation data are observed and no traumatic failure data are observed, this paper proposes a subdistribution competing risk model to achieve a motorized spindle life assessment. This paper assumes that the failure rate ratio of the tested products does not change with time under different stress levels. Basic reliability with zero traumatic failure data is modeled by a unilateral confidence limit method under a two-parameter Weibull distribution. Performance degradation data are taken as covariates. The regression coefficients of the covariates are calculated by SPSS software. Then, a subdistribution competing risk model is constructed, which reflects the dependency relationship between reliability and performance degradation, and the product’s reliability life can be evaluated accordingly. The correctness and advantages of the model built in this paper are verified by a case analysis combined with the performance degradation information of a motorized spindle.

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Reliability assessment of high‐quality and long‐life products based on zero‐failure data

Cited by 20 publications

References 27 publications

Reliability assessment of cutting tools based on zero-failure data

Reliability assessment of cutting tools based on zero-failure data

Reliability Assessment for Very Few Failure Data and Weibull Distribution

Life Assessment for Motorized Spindle with Zero Traumatic Failure Data Based on Subdistribution Competing Risk Model

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