Feature Extraction Method for Rolling Bear Fault Signal Based on time-Delayed Feedback Asymmetric tristable Stochastic Resonance

A new feature extraction method for rolling bear fault signal is proposed based on the time-delayed feedback asymmetric tristable stochastic resonance (TFATSR). The generalized potential function and probability density function (PDF) of TFATSR system have been derived by using a short delay time. The generalized potentials with different parameters including feedback intensity, time-delay length, asymmetric term, system parameters have been discussed. The variation of the signal-to-noise ratio (SNR) curve of the TFATSR with different feedback intensities is obtained through the signal processing of fault signal. The comparison between three SR systems including symmetrical tristable stochastic resonance (STSR), time-delayed feedback symmetrical tristable stochastic resonance (TFSTSR) and TFATSR has been made to prove the superiorities of weak signal detection. Experimental data shows that the proposed method can realize the feature extraction for rolling bear fault signal.