基于级联双稳随机共振和多重分形的机械故障诊断方法研究

对级联双稳随机共振的滤波特性进行了对比和分析，利用这种特性，结合广义维数对信号非线性特征的度量能力，提出了基于级联双稳随机共振和多重分形的机械故障诊断方法。实验结果证明，该方法可以有效的消除高频噪声，增强低频段信号的能量，由此得到的分形维数比较准确，能够更加精确地度量机械振动信号的非线性特征，从而达到机械故障诊断的目的。

Mechanical fault diagnosis based on cascaded bistable stochastic resonance and multi-fractal

The filtering performance of cascaded bistable stochastic resonance(CBSR) was analyzed.Depending on the filtering feature of CBSR and the measurement capability of generalized dimension for non-linear characteristics of signals,a method of mechanical fault diagnosis based on CBSR and multi-fractal was presented.The experiment results showed that this method can not only remove high frequency noise efficiently but also enhance the energy of low frequency signals,the obtained fractal dimension is more correct;the fractal dimension can measure non-linear characteristics of mechanical vibration signals accurately in order to implement mechanical fault diagnosis.