指数型随机共振微弱振动信号检测方法

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摘要在实际工程故障诊断中特征频率信号经常淹没在噪声中，信息提取非常困难。为了提取强噪声背景中的微弱信号，本文将简谐势阱与Gaussian Potential模型相结合，提出一种作用在Duffing方程下的新型指数型双稳随机共振系统。首先，推导逃逸率并研究系统参数对输出信噪比影响；其次，基于指数型双稳随机共振系统对冲击衰减信号以及谐波振动信号进行检测；最后为检测大噪声下多频信号提出指数型双稳随机共振和经验模态分解的微弱信号联合检测方法并应用于轴承故障信号检测中。实验分析及仿真结果表明，指数型双稳随机共振模型在信号检测中是可行的，并且对于多频谐波信号通过随机共振后进行经验模态分解可使检测更加准确，联合检测不仅能识别故障信号，还能识别故障倍频信号。

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	张刚1
	2
	曹莉2
	贺利芳2
	易甜2

关键词 ：指数型双稳随机共振, 经验模态分解, 故障信号检测

Abstract：The fault signal is difficult to detect and extract in practical engineering because of its characteristic frequency signals submerged in noise. In order to extract the weak signal in strong background noise, a new bistable stochastic resonance system functions called exponential Duffing bistable combining harmonic Potential model and Gaussian Potential model put forward in this paper. Firstly, the escape rate is derived and the effect on the output signal-to-noise ratio by system parameters are studied. Then, simulation harmonic vibration signal and attenuation impulse signal have demonstrated the feasibility detection performance of exponential bistable stochastic resonance system. Finally, the exponential bistable stochastic resonance with empirical mode decomposition method has taken to detect weak multi-frequency signal under heavy noise and this method also useful for the bearing fault signal detection. The experimental analysis and the simulation results show that exponential bistable stochastic resonance model in signal detection is reliable, and multi-frequency harmonic signal through empirical mode decomposition after the stochastic resonance can get accurate detection, the propose united detection method is effective and reliable in the fault signal detection.

Key words： exponential bistable stochastic resonance empirical mode decomposition the fault signal detection

收稿日期: 2017-07-18 出版日期: 2019-04-28

引用本文:

张刚1,2,曹莉2,贺利芳2,易甜2. 指数型随机共振微弱振动信号检测方法[J]. 振动与冲击, 2019, 38(9): 53-61.
ZHANG Gang1,2, CAO Li1, HE Lifang2, YI Tian2. Weak vibration signal detection method for exponential stochastic resonance systems. JOURNAL OF VIBRATION AND SHOCK, 2019, 38(9): 53-61.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2019/V38/I9/53

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