Abstract

Wear is one of the most common failure forms of gear transmission system. In this paper, a dynamic wear reliability evaluation method for gear system, which subjects to stochastic external load, is proposed on the basis of Markov diffusive process. The stochastic load is considered as the combination of constant load and random noise. The failure is defined as the wear depth of the maximum wear point of gear under the constant load exceeds a specific threshold. The maximum wear point and relative sliding velocity are obtained by deterministic wear analysis. The stochastic noise is assumed as Gaussian white noise; hence the wear depth can be described as Markov diffusive process, and the transition probability is governed by Fokker-Planck-Kolmogorov (FPK) equation. With the transition probability function, the wear life and dynamic reliability of gear system with different noise spectral density are predicted. The results revel that the wear depth obeys normal distribution and becomes more and more scattered with noise spectral density increases. The wear life does not obey normal distribution, the effect of noise spectral density on mean life is neglectable while on standard deviation of life is considerable.

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