二次方分段双稳系统的随机共振特性及其应用

Stochastic resonance characteristic of a quadratic segmented bistable system and its application

提出一种二次方分段双稳势函数,建立了该势函数的参数与克莱默斯逃逸率和输出信噪比的解析关系。并从动力学的角度,分析了不同非线性势函数下布朗粒子所受的势场力对增强随机共振效应的影响。数值仿真与理论分析结论一致。经对轴承滚动体故障数据的分析表明,该势函数所产生的随机共振能更有效地实现微弱特征检测与早期故障诊断。

A quadratic segmented bistable potential function was proposed here,the analytic relations among Kramers escape rate,the output signal-to-noise ratio and parameters of the potential function were established. With the principle of dynamics,the influences of the potential field force exerted on Brownian particles under different nonlinear potential functions on enhancing the stochastic resonance produced by the potential functions were analyzed. The results of numerical simulation agree well with the theoretical analysis ones. The analysis of rolling element bearing fault data showed that the stochastic resonance caused by the proposed potential function effectively realizes the weak signal detection and early fault diagnosis.