A fast search method for optimal parameters of stochastic resonance based on stochastic bifurcation and its application in fault diagnosis of rolling bearings

Stochastic resonance (SR) is a fascinating nonlinear phenomenon that uses appropriate external noise to enhance the specified weak signal. Therefore, it has been widely studied in weak signal detection. Because of this, This paper puts forward a model of considering the time-delay stochastic resonance from the perspective of engineering applications, Colored noise as external ambient noise. At the same time, the classical bistable symmetric potential is changed into a double-well variable potential well which can directly control the barrier height through parameters. In addition, this paper finds a more effective search interval by studying the random bifurcation of the system, which can improve the search efficiency by about 50%. Finally, the new model is compared with the Duffing model without time-delay from the experiment and engineering application perspective. The new model increases the amplitude of the target signal more effectively under the condition of restraining low-frequency and high-frequency interference and then verifies the effectiveness and superiority of the method proposed in this paper in engineering practice.