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Wavelet Multifractal Approaches for Singularity Analysis of Vibration Signals

机译：小波多重分形方法在振动信号奇异性分析中的应用

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摘要

For rotating machinery, there may exist many kinds of malfunctions that will influence the normal operation, such as oil whirl, coupling misalignment, rub-impact etc, whose vibration signals often have different singularity properties. The multifractal spectrum, also called singularity spectrum, calculated by the wavelet transform modulus-maxima (WTMM) method is a comprehensive reflection of the distribution of the singularities of signals. In this paper, the WTMM method for multifractal spectrum is introduced, and the multifractal spectra are used to analyze the experimental data of rub-impact, oil whirl, coupling misalignment and imbalance faults. The results show that the vibration signals of the rub-impact have the strongest singularity; the signals of the coupling misalignment are the next and the signals of the imbalance have the weakest singularity. It means that some features can be extracted from the multifractal spectra for fault diagnosis.
机译：对于旋转机械而言，可能存在许多会影响正常运行的故障，例如油涡动，联轴器未对准，摩擦冲击等，其振动信号通常具有不同的奇异特性。通过小波变换模极大值（WTMM）方法计算的多重分形光谱，也称为奇异光谱，是信号奇异度分布的全面反映。本文介绍了WTMM方法的多重分形谱，并利用多重分形谱分析了摩擦冲击，油涡旋，耦合失准和失衡断层的实验数据。结果表明，摩擦冲击的振动信号具有最强的奇异性。接下来是耦合未对准的信号，不平衡信号的奇异性最弱。这意味着可以从多重分形谱中提取一些特征以进行故障诊断。

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