A generalized instantaneous-frequency-estimation-free stepwise demodulation transform and its application in vibration signal analysis of rotating machinery

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Journal of Vibration and Shock ›› 2021, Vol. 40 ›› Issue (24) : 1-11.

SHI Juanjuan1，HUA Zehui1，SHEN Changqing1,2，JIANG Xingxing1，FENG Yixiong2，ZHU Zhongkui1

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Abstract

The existing generalized demodulation based methods have inherent shortcomings for the vibration signal processing of rotating machinery. This paper, therefore, proposes the generalized instantaneous frequency synchronized stepwise demodulation transform to address such shortcomings. Firstly, the frequency of the truncated signal in a short time window can be seemed as a straight line with an inclination angle. The angle determination strategy is proposed, where the appropriate angle can be selected by the guidance of kurtosis index. Then, the novel forward and backward demodulators used in generalized demodulation (GD) can be calculated to demodulate the truncated signal. Sliding the window, the time-frequency representation (TFR) of the analyzed signal can be obtained with the boosted readability and independence of the instantaneous frequency (IF) pre-extraction. To effectively tackle with multicomponent signals, the original linear transforming kernel is improved to enable the proposed method to simultaneously enhance the multiple frequency components without iterations. The signal reconstruction of the proposed transform is theoretically derived and the results show that the proposed method allows for the reconstruction of the interested frequency components. The simulation and experimental vibration signal analyses verify the effectiveness of the proposed method in enhancing the TFR and increasing the accuracy of the feature extraction. The comparison with other time-frequency analysis (TFA) methods further indicates the advantages of the proposed method.

Key words

Fault diagnosis / Generalized demodulation / Time-frequency analysis / Fault feature extraction / Time-varying speed condition

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SHI Juanjuan1，HUA Zehui1，SHEN Changqing1,2，JIANG Xingxing1，FENG Yixiong2，ZHU Zhongkui1. A generalized instantaneous-frequency-estimation-free stepwise demodulation transform and its application in vibration signal analysis of rotating machinery[J]. Journal of Vibration and Shock, 2021, 40(24): 1-11

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