Abstract

According to the dynamic characteristics of the rolling bearing vibration signal and the distribution characteristics of its noise, a fault identification method based on the adaptive filtering empirical wavelet transform (AFEWT) and kernel density estimation mutual information (KDEMI) classifier is proposed. First, we use AFEWT to extract the feature of the rolling bearing vibration signal. The hypothesis test of the Gaussian distribution is carried out for the sub-modes that are obtained by the twice decomposition of EWT, and Gaussian noise is filtered out according to the test results. In this way, we can overcome the noise interference and avoid the mode selection problem when we extract the feature of the signal. Then we combine the advantages of kernel density estimation (KDE) and mutual information (MI) and put forward a KDEMI classifier. The mutual information of the probability density combining the unknown signal feature vector and the probability density of the known type signal is calculated. The type of the unknown signal is determined via the value of the mutual information, so as to achieve the purpose of fault identification of the rolling bearing. In order to verify the effectiveness of AFEWT in feature extraction, we extract signal features using three methods, AFEWT, EWT, and EMD, and then use the same classifier to identify fault signals. Experimental results show that the fault signal has the highest recognition rate by using AFEWT for feature extraction. At the same time, in order to verify the performance of the AFEWT-KDEMI method, we compare two classical fault signal identification methods, SVM and BP neural network, with the AFEWT-KDEMI method. Through experimental analysis, we found that the AFEWT-KDEMI method is more stable and effective.

Highlights

  • Rolling bearing is a very important mechanical part in all kinds of rotating machinery

  • We found that the adaptive filtering empirical wavelet transform (AFEWT)-kernel density estimation mutual information (KDEMI)

  • The proposed method is to identify the Gaussian noise distributed over the entire frequency band based on the statistical properties of the sub-modes obtained by the secondary decomposition of Empirical wavelet transform (EWT)

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Summary

Introduction

Rolling bearing is a very important mechanical part in all kinds of rotating machinery. Empirical wavelet transform (EWT) [21] is a new method to deal with non-stationary signals in recent years It adaptively divides the spectrum of the signal into several frequency bands based on the spectral characteristics of the signal, and the corresponding time-domain signal of each frequency band is a mode of the original signal. The number of selected modes can only be determined based on experience To solve this problem, an adaptive filtering of EWT (AFEWT) is proposed. The proposed method is to identify the Gaussian noise distributed over the entire frequency band based on the statistical properties of the sub-modes obtained by the secondary decomposition of EWT. Conclusions are drawn in extraction and the accuracy and stability of AFEWT-KDEMI method in fault signal recognition are verified by experiments.

EWT Empirical
The Basic Steps of AFEWT
Simulation of AFEWT
Signal
Basic Principles of Kernel Density Estimation and Mutual Information
Basic Principle of Classifier
The probability density functionvector
Fault Diagnosis of Rolling Bearing Based on AFEWT-KEDMI
Experimental Results
Methods
Conclusions

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