基于非对称双稳系统的随机共振及应用  

Stochastic resonance based on asymmetric bistable systems andits applications

作　　者：陈杨 张建刚[1] CHEN Yang;ZHANG Jian-Gang(School of Mathematics and Physics,Lanzhou Jiaotong University,Lanzhou 730070,China)

机构地区：[1]兰州交通大学数理学院,兰州730070

出　　处：《四川大学学报（自然科学版）》2022年第4期97-107,共11页Journal of Sichuan University(Natural Science Edition)

基　　金：国家自然科学基金(61863022,11962012)。

摘　　要：本文研究了高斯色噪声驱动下非对称双稳随机共振(Asymmetric Bistable Stochastic Resonance,ABSR)系统的信噪比以及平均首次通过时间的问题.我们运用统一色噪近似和两态模型理论,推导出平均首次通过时间和信噪比的公式;讨论了各参数对信噪比和平均首次通过时间的影响,并对参数进行了优化.研究发现,随机共振是噪声强度和势阱非对称性的非单调函数,在两个不同方向上,同一参数对平均首次通过时间的影响不同.通过仿真与实验证明了ABSR系统在轴承故障诊断中具有明显优势.The signal-to-noise ratio and mean first passage time of asymmetric bistable stochastic resonance(ABSR) system driven by Gaussian colored noise are studied. Based on the unified color noise approximation and two-state model theory, the formulas ofmean first passage time and signal-to-noise ratio are derived. The influence of various parameters on signal-to-noise ratio and mean first passage time are discussed, and the parameters are optimized. It is found that stochastic resonance is a non-monotonic function of noise intensity and potential well asymmetry, and the same parameter has different effects on the mean first passage time in two different directions. Simulation and experiment prove that ABSR system has obvious advantages in bearing fault diagnosis.

关 键 词：非对称双稳系统 信噪比 平均首次通过时间 随机共振 轴承故障诊断 

分 类 号：O324[理学—一般力学与力学基础]