A Novel Two-Dimensional Quad-Stable Stochastic Resonance System for Bearing Fault Detection

Abstract

A novel two-dimensional Quad-stable stochastic resonance (NTDQSR) system is proposed in this paper to address the poor signal detection capability of the original one-dimensional Quad-stable stochastic resonance (ODQSR) system. Firstly, expressions for the equivalent potential function and the steady-state probability density (SPD) function of the system are derived to study the impact of parameters on it. Secondly, the system is simulated numerically, and the performance of NTDQSR system is evaluated under trichotomous noise in this paper, because trichotomous noise exists widely in practical applications. Finally, the genetic algorithm (GA) is used to optimize the system parameters, and NTDQSR system is applied to bearing fault detection. In LDK UER204 ring fault detection, MSNRG in NTDQSR system is 0.9927 dB and 0.4805 dB higher than ODQSR and under-damped Quad-stable stochastic resonance (UQSR) system. In the outer ring experiment on the experimental bench at CWRU, MSNRG in NTDQSR system is 0.7255dB and 0.0734dB higher than the other two systems, while in the inner ring experiment, MSNRG is 0.6535dB and 0.1943dB higher than the other two systems, respectively. NTDQSR system is compared with ODQSR and UQSR systems to verify the good application value of NTDQSR system in practical engineering.