Abstract

Vibration signal of gearbox systems carries the important dynamic information for fault diagnosis. However, vibration signals always show non stationary behavior and overwhelmed by a large amount of noise make this task challenging in many cases. Thus, a new fault diagnosis method combining the Hilbert empirical wavelet transform (HEWT), the singular value decomposition (SVD) and Elman neural network is proposed in this paper. Vibration signals of normal gear, gear with tooth root crack, gear with chipped tooth in width, gear with chipped tooth in length, gear with missing tooth and gear with general surface wear are collected in different speed and load conditions. HEWT, a new self-adaptive time-frequency analysis, was applied to the vibration signals to obtain the instantaneous amplitude matrices. Singular value vectors, as the fault feature vectors were then acquired by applying the SVD. Last, the Elman neural network was used for automatic gearbox fault identification and classification. Through experimental results, it was concluded that the proposed method can accurately extract and classify the gear fault features under variable conditions. Moreover, the performance of the proposed HEWT-SVD method has an advantage over that of Hilbert-Huang transform (HHT)-SVD, local mean decomposition (LMD)-SVD or wavelet packet transform (WPT)-PCA for feature extraction.

Highlights

  • Gears, an important and most frequently encountered components in rotating machinery, whose operation condition directly affects the whole performance of the entire system

  • The Hilbert empirical wavelet transform (HEWT) is a merger of the empirical wavelet transform and Hilbert transform [26]

  • Known from the above analysis, using HEWT with singular value decomposition (SVD) for fault feature extraction under different operating modes is much better than Hilbert-Huang transform (HHT)-SVD, local mean decomposition (LMD)-SVD and wavelet packet transform (WPT) in tandem with principal component analysis (PCA)

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Summary

Introduction

An important and most frequently encountered components in rotating machinery, whose operation condition directly affects the whole performance of the entire system. GEAR FAULT FEATURE EXTRACTION AND CLASSIFICATION OF SINGULAR VALUE DECOMPOSITION BASED ON HILBERT EMPIRICAL WAVELET TRANSFORM. Daubechies et al [21] proposed a wavelet based time-frequency reallocation method called Synchrosqueezed wavelet transform This method was successfully applied in gear fault diagnosis [22]. Gilles, [23] developed the empirical wavelet transform (EWT) [24, 25] The uniqueness of this method is in building an adaptive wavelet filter bank capable of extracting amplitude modulated-frequency modulated (AM-FM) components of a signal. The technique has shown a good results in gear tooth crack, tooth pitting and rolling bearing diagnosis [26,27,28] This combination leads to self-organizing TF plane which is very beneficial for fault feature extraction.

Time-frequency signal decomposition based on HEWT
Empirical wavelet transform
Hilbert transform
Singular value decomposition on the HEWT
Elman neural network
Experimental result and discussion
Experimental system description
State classification based on Elman neural network
Findings
Conclusions
Full Text
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