The Gradual Reliability and Sensitivity Analysis of Gear Transmission System Considering Strength Degradation

Zhang, Jinrui; Nan, Shujun; Wang, Yanyan; Niu, Nanpo

doi:10.1109/phm-jinan48558.2020.00033

Cited by 1 publication

(2 citation statements)

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“…Where 𝑣(𝑡) is a nonlinear function that describes the shape parameter of the gamma process. 29 Based on general experience, assuming that the expected value of the degradation amount is proportional to the power of time, 30 then the shape parameter of the degradation trajectory is…”

Section: Establishment Of the Stochastic Strength Degradation Modelmentioning

confidence: 99%

“…It is decided to use the nonlinear Gamma degradation process. Where

v( t )

is a nonlinear function that describes the shape parameter of the gamma process 29 . Based on general experience, assuming that the expected value of the degradation amount is proportional to the power of time, 30 then the shape parameter of the degradation trajectory is

\begin{equation}v\left( t \right) = \alpha {t}^b\end{equation}

where α and b are the constants.…”

Section: Description Of the Dependent Competing Failure Modelmentioning

confidence: 99%

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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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Section: Establishment Of the Stochastic Strength Degradation Modelmentioning

confidence: 99%

“…It is decided to use the nonlinear Gamma degradation process. Where