Abstract

Because roller element bearings (REBs) failures cause unexpected machinery breakdowns, their fault diagnosis has attracted considerable research attention. Established fault feature extraction methods focus on statistical characteristics of the vibration signal, which is an approach that loses sight of the continuous waveform features. Considering this weakness, this article proposes a novel feature extraction method for frequency bands, named Window Marginal Spectrum Clustering (WMSC) to select salient features from the marginal spectrum of vibration signals by Hilbert–Huang Transform (HHT). In WMSC, a sliding window is used to divide an entire HHT marginal spectrum (HMS) into window spectrums, following which Rand Index (RI) criterion of clustering method is used to evaluate each window. The windows returning higher RI values are selected to construct characteristic frequency bands (CFBs). Next, a hybrid REBs fault diagnosis is constructed, termed by its elements, HHT-WMSC-SVM (support vector machines). The effectiveness of HHT-WMSC-SVM is validated by running series of experiments on REBs defect datasets from the Bearing Data Center of Case Western Reserve University (CWRU). The said test results evidence three major advantages of the novel method. First, the fault classification accuracy of the HHT-WMSC-SVM model is higher than that of HHT-SVM and ST-SVM, which is a method that combines statistical characteristics with SVM. Second, with Gauss white noise added to the original REBs defect dataset, the HHT-WMSC-SVM model maintains high classification accuracy, while the classification accuracy of ST-SVM and HHT-SVM models are significantly reduced. Third, fault classification accuracy by HHT-WMSC-SVM can exceed 95% under a Pmin range of 500–800 and a m range of 50–300 for REBs defect dataset, adding Gauss white noise at Signal Noise Ratio (SNR) = 5. Experimental results indicate that the proposed WMSC method yields a high REBs fault classification accuracy and a good performance in Gauss white noise reduction.

Highlights

  • Because roller element bearings (REBs) are a key part of mechanical equipment, their fault diagnosis is essential for safe operation of equipment [1]

  • M, Pmin, C and g are set as four parameters for the Hilbert–Huang Transform (HHT)-Window Marginal Spectrum Clustering (WMSC)-Support Vector Machine (SVM) model, while the PSO method combined with cross-validation is applied for obtaining the optimal parameters

  • In order to analyze the effects of the parameters m and Pmin in WMSC method on fault classification capability, we test the HHT-WMSC-SVM model under different m and Pmin parameters on dataset B, adding Gaussian white noise at SNR = 5, while C and g parameters are fixed

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Summary

Introduction

Because roller element bearings (REBs) are a key part of mechanical equipment, their fault diagnosis is essential for safe operation of equipment [1]. In [24], ten time–domain statistical characteristics and the energy entropies of Intrinsic Mode Functions (IMFs) were chosen as fault features to train an ANN for the bearing defects diagnosis. Statistical features in optimal scales (17–40) were extracted as inputs for ANN fault diagnosis classifier based on the Energy to Shannon Entropy Ratio. HMS, a supervised feature extraction method named Window Marginal Spectrum Clustering (WMSC) is proposed for selection of characteristic frequency bands (CFBs), sliding window is used to divide the entire HMS into spectral bands, where upon the Rand Index (RI) criteria of clustering method is adopted to evaluate band These bands with higher RI are selected to construct CFBs. The marginal spectrum components under CFBs (HMS-CFBs) are more fault patterns sensitive since the redundant and noise components can be filtered. Experimental results and discussions are presented, including description of the experimental test bench, comparison of methods with statistical characteristics and effects of different parameters used in the model

Theoretical Background
The Hilbert Spectrum
Problem Description
Feature Extraction Method WMSC
Proposed REBs Fault Detection Model
Experimental Result and Analysis
Experiment Setup
Experimental Validation of the Proposed Method
Parameters Analysis of the Proposed Model
Comparison with Some Previous Works
C3: Wavelet-SVM with Morlet kernel
Conclusions and Future Work
Full Text
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