Stochastic resonance of coupled time-delayed system with fluctuation of mass and frequency and its application in bearing fault diagnosis

Abstract

The stochastic resonance behavior of coupled stochastic resonance (SR) system with time-delay under mass and frequency fluctuations was studied. Firstly, the approximate system model of the time-delay system was obtained by the theory of small time-delay approximation. Then, the random average method and Shapiro-Loginov algorithm were used to calculate the output amplitude ratio of the two subsystems. The simulation analysis shows that increasing the time-delay and the input signal amplitude appropriately can improve the output response of the system. Finally, the system is applied to bearing fault diagnosis and compared with the stochastic resonance system with random mass and random frequency. The experimental results show that the coupled SR system taking into account the actual effect of time-delay and couple can more effectively extract the frequency of the fault signal, and thus realizing the diagnosis of the fault signal, which has important engineering application value.

Keywords

stochastic resonance / bearing fault diagnosis / the fluctuation of mass and frequency / coupled time-delayed system

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