Research and Application of a Novel Combined Asymmetric Tristable Stochastic Resonance System

Abstract

Aiming at the deficiency of weak signal amplification ability in traditional bistable system and combining with the advantages of tristable system and asymmetric system, three novel of combined asymmetric tristable stochastic resonance (SR) systems are proposed by combining the classical bistable potential model with the Gaussian potential model in this paper, namely, asymmetric well depth stochastic resonance (AWDSR), asymmetric well width stochastic resonance (AWWSR) and asymmetric well depth width stochastic resonance (AWDWSR). The stochastic resonance phenomena of the above three systems under [Formula: see text] noise with the influence of parameters are analyzed, respectively. Through empirical mode decomposition and adaptive genetic algorithm to optimize the parameters for weak signal extraction, it can be found that this method can achieve stronger SR performance. After the bearing fault diagnosis of the proposed systems, the detection results of the three asymmetric systems are obviously better than the classical tristable stochastic resonance (CTSR) and symmetric stochastic resonance (SSR), and the performance advantage of AWDWSR is the greatest. This can provide some reference value for practical engineering application.