基于新耦合Duffing振子系统的微弱信号检测

Weak signal detection based on a new coupled Duffing oscillators system

为解决传统Duffing振子随机共振微弱信号检测效果较差的问题,提出新耦合Duffing振子随机共振微弱信号检测方法,通过构造一个新颖的非线性耦合形式将两个传统Duffing振子耦合在一起,并且以输出信噪比作为随机共振检测效果的评价指标,研究了各参数对输出信噪比的影响。在输出信噪比最大时确定了参数选取的范围,然后把相关参数代入该随机共振模型中进行微弱信号检测。同时将轴承外圈故障信号分别输入到传统Duffing振子随机共振和耦合Duffing振子随机共振模型中,通过对比发现,新耦合Duffing振子随机共振模型对轴承外圈故障信号的检测效果更优,为新耦合Duffing振子随机共振模型在实际工程中的应用提供了参考和依据。

In order to solve the problem of poor weak signal detection effect of traditional Duffing oscillator stochastic resonance,a new coupled Duffing oscillators stochastic resonance weak signal detection method is proposed.By constructing a novel nonlinear coupling form,the two traditional Duffing oscillators are coupled together.The output signal-to-noise ratio is used as the evaluation index of stochastic resonance detection effect,and the influence of each parameter on the output signal-to-noise ratio is studied.The range of parameters is determined when the output signal-to-noise ratio is maximum,and then the relevant parameters are substituted into the stochastic resonance model for weak signal detection.At the same time,the bearing outer ring fault signal is input into the traditional Duffing oscillator stochastic resonance model and the coupled Duffing oscillator stochastic resonance model respectively.Through comparison,it is found that the new coupled Duffing oscillator stochastic resonance model has better detection effect for the bearing outer ring fault signal,which provides reference and basis for the application of the new coupled Duffing oscillator stochastic resonance model in engineering practice.