System Reliability with Multiple Failure Modes and Time Scales

Noorossana, Rassoul; Sabri-Laghaie, Kamyar

doi:10.1002/qre.1819

Cited by 10 publications

(6 citation statements)

References 45 publications

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“…Working condition information is carried into Equation (11). θ i , which is the proportional coefficient of the i-th WCF, is obtained by using the Newton-Raphson algorithm.…”

Section: Parameter Estimationmentioning

confidence: 99%

“…The TBF of NC machine tool is non‐independent and identically distributed. The model to evaluate the reliability of NC machine tool mainly includes Poisson process, non‐homogeneous Poisson process, trend renewal process, and power law distribution . Among them, Rigdon proved that the PLM can better evaluate the reliability of complex repairable systems based on empirical statistical inference methods .…”

Section: Introductionmentioning

confidence: 99%

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Application of power law model in reliability evaluation of machine tools by considering working condition difference

Zhu

et al. 2018

Quality & Reliability Eng

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The influence of working condition difference has not been considered in the traditional reliability modeling of numerical control (NC) machine tools. To solve the problem, a reliability evaluation method based on mixture variable parameter power law model (MVPPLM) is proposed in this study. First, the scale parameter of the PLM is obtained by multi‐dimensional exponential distribution. Second, a proportional relation of failure rate function between each working condition and reference working condition is established. The proportion coefficient is solved using the partial likelihood function. Working condition factors with a significant influence on reliability levels are selected through the chi‐squared test. Third, reliability evaluation models under different working condition levels are established through mixture distributions. The mixture weight coefficient is calculated by the standard deviation of working condition covariates. The maximum likelihood estimation method is used to estimate parameters. Finally, results of a case analysis based on the data of NC machine tools in the user field tracing test show that the MVPPLM has higher precision than the traditional method. Therefore, reliability evaluation that considers working condition difference is valuable for engineering application.

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“…Working condition information is carried into Equation (11). θ i , which is the proportional coefficient of the i-th WCF, is obtained by using the Newton-Raphson algorithm.…”

Section: Parameter Estimationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Application of power law model in reliability evaluation of machine tools by considering working condition difference

Zhu

et al. 2018

Quality & Reliability Eng

View full text Add to dashboard Cite

show abstract

“…The specific methods of failure analysis are various, including finite element simulation analysis of structural strength, microstructure and morphology analysis of materials, confirmation analysis of external load boundary borne by the structure and so on. [8][9][10] If analyzed macroscopically, fault tree analysis is a very useful failure analysis method. Fault tree analysis, referred to as FTA, is a method to analyze the hardware, software, environment, human and other factors causing product failure, and draw a fault tree diagram, so as to determine various combination modes of product failure causes and their occurrence probability.…”

Section: Introductionmentioning

confidence: 99%

Analysis of multiple failure behaviors of steering knuckle ball hinge of multi-axle heavy vehicle

Wang

Wei

Bao³

et al. 2021

Advances in Mechanical Engineering

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The ball hinge is a key component of the vehicle chassis that connects the steering knuckle and the control arm. The study analyzed the multiple failure behaviors of the chassis ball hinge. Firstly, according to the macroscopic failure characteristics of the ball hinge, the fault tree analysis method was adopted to identify the possible cause of the failure. Then, the axial load and radial load on the ball joint were obtained by simulating the force of the vehicle under the typical extreme conditions. The stress distribution of the ball pin was obtained by finite element analysis of the ball joint. The calculation results are consistent with the fatigue crack position of the ball hinge. Finally, the macro morphology and microstructure of the ball joint seat, ball bowl, dust cover and other parts matched with the ball hinge were analyzed to further verify the failure mode of the ball hinge. The results showed that the dust cover of the ball hinge was firstly aged and cracked, and the external dust and particles enter into the friction contact area of the ball hinge, which caused the ball pin and ball bowl to be stuck. During the operating of the vehicle, the ball pin undergoes unidirectional bending fatigue fracture in the stress concentration area at the root of the conical surface.

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“…However, the assumption of constant failure and repair rates is an approximation that does not hold for many real world systems . For this reason, the interest is increasing for the analysis of system performance metrics, such as reliability and availability, considering time‐varying parameters . On the other hand, importance measures (IMs) play a significant role in risk‐informed decision‐making applications because they can be used for identifying the most important components with respect to system performance metrics such as safety, availability, maintainability, and reliability …”

Section: Introductionmentioning

confidence: 99%

Importance analysis considering time‐varying parameters and different perturbation occurrence times

Noroozian

Kazemzadeh

Zio

et al. 2019

Quality & Reliability Eng

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Importance measures are integral parts of risk assessment for risk‐informed decision making. Because the parameters of a risk model, such as the component failure rates, are functions of time and a perturbation (change) in their values can occur during the mission time, time dependence must be considered in the evaluation of the importance measures. In this paper, it is shown that the change in system performance at time t, and consequently the importance of the parameters at time t, depends on the parameters perturbation time and their value functions during the system mission time. We consider a nonhomogeneous continuous time Markov model of a series‐parallel system to propose the mathematical proofs and simulations, while the ideas are also shown to be consistent with general models having nonexponential failure rates. Two new measures of importance and a simulation scheme for their computation are introduced to account for the effect of perturbation time and time‐varying parameters.

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System Reliability with Multiple Failure Modes and Time Scales

Cited by 10 publications

References 45 publications

Application of power law model in reliability evaluation of machine tools by considering working condition difference

Application of power law model in reliability evaluation of machine tools by considering working condition difference

Analysis of multiple failure behaviors of steering knuckle ball hinge of multi-axle heavy vehicle

Importance analysis considering time‐varying parameters and different perturbation occurrence times

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