Condition-based scheduled maintenance optimization of structures based on reliability requirements under continuous degradation and random shocks

Zhang, Xiao-sheng; Chen, Jian-qiao; Wei, Junhong

doi:10.1631/jzus.a1800578

Cited by 11 publications

(7 citation statements)

References 32 publications

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“…A failure of deteriorating structure will occur when the total damage D(t) exceeds the damage threshold H. Therefore, the time-dependent reliability of the deteriorating structure within a time period [0, t] can be formulated as It should be noted that taking the fatal threshold L max into consideration, which means a hard failure will occur if the load value W i or U j exceeds the threshold L max , together with the soft failure that D(t) greater than H, leads to MDCFPs. [9][10][11][12][13] When the two types of failure are all taken into account, a much more complex reliability expression may be deduced using the total probability formula, making the solution procedure much more complicated. Focusing on the new degradation model and to make the problem more tractable, only the soft failure is taken into account.…”

Section: Time-dependent Reliability Modelingmentioning

confidence: 99%

“…Empirical studies 4,8,11,24 show that the expected deterioration at time t often follows a power law, namely…”

Section: Modeling Of Damagementioning

confidence: 99%

“…To simplify the analysis, many researches assume a linear damage rule and consider only two parts of damage sources, 4,8,9,11 that is, D ( t ) = X ( t ) + S ( t ). Adopting the same assumption that the damage processes are considered to be independent, the total damage in this article becomes…”

Section: Time-dependent Reliability Modelingmentioning

confidence: 99%

“…Once the hard failure that a single shock exceeds the load threshold is also considered, the structure will experience multiple dependent competing failure processes (MDCFPs). 9–13 These two failure processes are dependent and competing, making reliability modeling and analysis a challenge. An and Sun 9 modeled the continuous degradation as a linear degradation path with parameters being normal distributed variables and the shock process as a PP.…”

Section: Introductionmentioning

confidence: 99%

“…PP is one of the most appropriate stochastic processes to describe the number of occurrences of random events. 4,8,9,11,24–29 Therefore, the PP has been widely used to model the random shocks. Mercer 25 proposed a stochastic model which regards the deterioration as an accumulating process.…”

Section: Introductionmentioning

confidence: 99%

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A new cumulative damage model for time-dependent reliability analysis of deteriorating structures

Chen

2019

Proceedings of the Institution of Mechanical Engineers, Part O:

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Performance and reliability of structures will deteriorate with the effects of loads, environment, and interior factors of materials. In this article, a novel cumulative damage model is developed for time-dependent reliability analysis of deteriorating structures. The deterioration is a combination of three stochastic processes: the gradual deterioration posed by aging effects, the sudden deterioration caused by transient loads, and the additional deterioration introduced by sustained loads. The aging effect is modeled as a gamma process, while the transient load is described by a Poisson process. The sustained load is modeled by a stationary binomial process and a Poisson square wave process, respectively. The load threshold for three different scenarios are all considered and applied to not only the transient loads but also the sustained loads. The time-dependent reliability of deteriorating structures is then evaluated based on this model via semi-analytical methods or numerical simulation methods. Three numerical examples and an example involving a natural gas pipeline are used to validate the effectiveness of the proposed model for computing the time-dependent reliability.

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Section: Time-dependent Reliability Modelingmentioning

confidence: 99%

“…Empirical studies 4,8,11,24 show that the expected deterioration at time t often follows a power law, namely…”

Section: Modeling Of Damagementioning

confidence: 99%

Section: Time-dependent Reliability Modelingmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A new cumulative damage model for time-dependent reliability analysis of deteriorating structures

Chen

2019

Proceedings of the Institution of Mechanical Engineers, Part O:

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Wind turbine gear reliability analysis considering dependent competing failure

Liu,

Gao,

Yuan

et al. 2023

Quality & Reliability Eng

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To more precisely assess the reliability of wind turbine gears, a competing failure model is established with consideration given to the degradation of internal fatigue strength and external random shocks. Firstly, the nonlinear Gamma process is adopted to depict the degradation of fatigue strength, and the strength‐stress interference theory is used to establish the threshold of degradation failure that changes over time. Also, the non‐homogeneous Poisson process is employed to depict the arrival of the shock, and classification of the shocks. Secondly, the correlation between degradation and shock is described, while the effect of shocks on degradation is demonstrated as a sudden increase in the extent of degradation. Besides, the decline rate of residual strength curve is introduced to describe the change in intensity parameters of the Poisson process, and then the effect of degradation on shocks is described. Finally, the sun gear in the wind turbine gearbox is an example. Monte Carlo simulation is used to calculate the reliability of the dependent competing failure model. This is then compared with the conventional stress‐strength interference model. The results verify that when the relationship between degradation and the shock process is disregarded, the reliability of gears may be overestimated.

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Reliability analysis of gear rotation meta-action unit based on Weibull and inverse Gaussian competing failure process

Jin

Ran

Wang

et al. 2020

Engineering Failure Analysis

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Condition-based scheduled maintenance optimization of structures based on reliability requirements under continuous degradation and random shocks

Cited by 11 publications

References 32 publications

A new cumulative damage model for time-dependent reliability analysis of deteriorating structures

A new cumulative damage model for time-dependent reliability analysis of deteriorating structures

Wind turbine gear reliability analysis considering dependent competing failure

Reliability analysis of gear rotation meta-action unit based on Weibull and inverse Gaussian competing failure process

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