时延反馈EVG系统随机共振特性研究及轴承故障诊断
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TN911.7

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国家自然科学基金(61771085)、重庆市教育委员会科研项目(KJQN201900601)资助


Stochastic resonance characteristic study and bearing fault diagnosis of timedelayed feedback EVG system
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    摘要:

    随机共振是应用在微弱信号检测中的一种重要的技术,以微弱周期信号和加性高斯白噪声驱动的时延反馈生态植被生长(EVG)系统为模型,对其展开了详细的随机共振现象分析,并将其应用到微弱信号检测和轴承故障诊断中。首先,利用福柯普朗克方程推算出等效势函数以进一步得到系统信噪比的表达式,然后通过曲线图具体分析不同的系统参数对势函数和信噪比的影响。研究结果表明,通过调节系统参数、信号幅值、噪声强度均可诱导时延反馈EVG系统产生随机共振现象。最后,通过调节参数利用时延反馈EVG系统随机共振方法成功检测到微弱信号目标频率f=001 Hz幅值为2 978,且在轴承内、外圈故障特征频率处检测出明显的峰值。

    Abstract:

    Stochastic resonance is an important technique applied in weak signal detection. The timedelayed feedback ecological vegetation growth (EVG) system driven by weak periodic signals and additive white Gaussian noise is used as a model to carry out detailed stochastic resonance phenomenon analysis, and is applied to weak signal detection and bearing fault diagnosis in this paper. Firstly, the FokkerPlanck equation is used to deduce the equivalent potential function and further obtain the expression of the system signaltonoise ratio. Then the correlation curve diagrams are used to concretely analyze the influence of different system parameters on potential function and signaltonoise ratio. The study results show that adjusting the system parameters, signal amplitude and noise intensity all can induce the timedelayed EVG system to generate the stochastic resonance phenomenon. Finally, through adjusting the parameters and using the stochastic resonance method of timedelayed feedback EVG system, it is successfully detected that the target frequency of the weak signal is 001 Hz and its amplitude is 2 978; and the obvious peak values are detected at the fault characteristic frequencies of the inner and outer rings of the bearing.

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贺利芳,杨玉蕾,张天骐.时延反馈EVG系统随机共振特性研究及轴承故障诊断[J].仪器仪表学报,2019,40(8):47-57

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  • 在线发布日期: 2022-02-22
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