二维双阱势系统随机共振机理研究及应用  

A study and application of stochastic resonance mechanism in a two-dimensional bistable potential system

作　　者：张刚[1] 徐浩[1] 张天骐[1] ZHANG Gang;XU Hao;ZHANG Tianqi(School of Communication and Information Engineering,Chongqing University of Posts and Telecommunications,Chongqing 400065,China)

机构地区：[1]重庆邮电大学通信与信息工程学院,重庆400065

出　　处：《振动与冲击》2021年第12期15-22,共8页Journal of Vibration and Shock

基　　金：国家自然科学基金(61771085,61371164);重庆市教委科研(KJQN201900601)。

摘　　要：将经典随机共振的一维设定拓展到二维势场中,研究在噪声中受周期驱动的二维双阱势系统的随机共振机理及应用。基于绝热近似理论推导系统输出信噪比的解析式,发现系统发生显著的随机共振现象,且通过增大驱动力、耦合系数、关联系数或降低驱动频率能够进一步地提高输出信噪比。使用四阶龙格库塔法和遗传算法进行数值模拟实验,发现输出信噪比的理论曲线和实际数值曲线基本吻合,证明了理论推导的正确性,微弱信号检测实验结果表明系统能够有效地检测微弱周期信号。将系统运用于实际工业轴承故障诊断中,实验表明系统能够有效地诊断出轴承的内外圈故障,且通过比较峰值大小和峰值辨识度,证明了该系统的故障检测效果优于新型一维非饱和双稳系统。The one-dimensional setting of the classical stochastic resonance problem was extended to the two-dimensional potential field,the mechanism and application of the stochastic resonance of a two-dimensional bistable potential system under the synergy of noise and weak external driving force were studied.Based on the adiabatic approximation theory,the analytical formula of the output signal-to-noise ratio was derived,and it is found that the significant stochastic resonance phenomena occur in the system.The output signal-to-noise ratio can be further improved by increasing the amplitude of the driving force,the coupling coefficient,the correlation coefficient,or reducing the driving frequency.The fourth-order Runge-Kutta method and the genetic algorithm were used for numerical simulation.It is noted that the theoretical curves of the output signal-to-noise ratio basically coincide with the actual numerical curves.The weak signal detection experiment results show that the system can effectively detect weak periodic signals.The system was applied to the practical application of industrial bearing fault diagnosis.The results show that the system can effectively diagnose the faults of the bearing inner and outer rings.By comparing the peak value and the recognition of the peak value,it is proved that the fault diagnosis effect of the system is better than that of the novel one-dimensional unsaturated bistable system.

关 键 词：随机共振 二维双势阱系统 绝热近似理论 微弱信号检测 轴承故障诊断 

分 类 号：TH133.33[机械工程—机械制造及自动化]