广义瞬时速度同步化分步解调变换及其对旋转机械振动信号分析

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摘要针对当前基于广义解调（generalized demodulation，GD）的方法对旋转机械振动信号处理的不足，提出了广义瞬时速度同步化分步解调变换。首先对信号进行短时截取，引入倾斜角对瞬时频率(instantaneous frequency，IF)进行描述，并采用峭度实现对倾斜角的自适应选取，从而获取该段信号的瞬时频率；而后推导前、后向解调因子对信号进行解调，避免了对瞬时频率进行预估计的同时提升了信号的时频可读性；进一步，针对多分量信号，通过对解调因子进行扩展，获取新的线性变换基函数，使所提方法在无需迭代下可同步增强多分量信号的时频表示；最后，对所提变换的信号重构进行了理论推导，证明了重构的可行性。通过仿真和旋转机械振动信号验证了所提方法在增强时频表示和提高特征提取准确性方面的有效性，与其他时频分析(time-frequency analysis，TFA)方法的对比也进一步体现了所提方法的优越性。

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	石娟娟1
	花泽晖1
	沈长青1
	2
	江星星1
	冯毅雄2
	朱忠奎1

关键词 ：故障诊断, 广义解调, 时频分析, 故障特征提取, 变转速

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

收稿日期: 2020-08-18 出版日期: 2021-12-28

引用本文:

石娟娟1，花泽晖1，沈长青1,2，江星星1，冯毅雄2，朱忠奎1. 广义瞬时速度同步化分步解调变换及其对旋转机械振动信号分析[J]. 振动与冲击, 2021, 40(24): 1-11.
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. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(24): 1-11.

链接本文:

http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I24/1

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