Abstract

Bearing vibration response studies are crucial for the condition monitoring of bearings and the quality inspection of rotating machinery systems. However, it is still very difficult to diagnose bearing faults, especially rolling element faults, due to the complex, high-dimensional and nonlinear characteristics of vibration signals as well as the strong background noise. A novel nonlinear analysis method—the symplectic entropy (SymEn) measure—is proposed to analyze the measured signals for fault monitoring of rolling bearings. The core technique of the SymEn approach is the entropy analysis based on the symplectic principal components. The dynamical characteristics of the rolling bearing data are analyzed using the SymEn method. Unlike other techniques consisting of high-dimensional features in the time-domain, frequency-domain and the empirical mode decomposition (EMD)/wavelet-domain, the SymEn approach constructs low-dimensional (i.e., two-dimensional) features based on the SymEn estimate. The vibration signals from our experiments and the Case Western Reserve University Bearing Data Center are applied to verify the effectiveness of the proposed method. Meanwhile, it is found that faulty bearings have a great influence on the other normal bearings. To sum up, the results indicate that the proposed method can be used to detect rolling bearing faults.

Highlights

  • Rolling bearings are basic and key components in rotary machine systems

  • The symplectic entropy (SymEn) algorithm is different from the algorithms of the approximate entropy (ApEn), sample entropy (SampEn) and fuzzy entropy (FuzzyEn) their first steps are all to reconstruct an attractor from a time series

  • The results indicate that the SymEn measure could reflect the dynamical characteristics of rolling bearings

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Summary

Introduction

Rolling bearings are basic and key components in rotary machine systems. Any slight fault will lead to abnormal working states of the rotary machine structures, and even affect the normal running of other components. Diagnosis analyses cover the exploration and development of approaches for the feature extraction and identification for rolling bearing faults from the viewpoint of signal processing or information theory, such as statistical processing, fractal dimension, linear discriminant analysis, cepstrum analysis, time-frequency analysis, supervised learned processing and so on [8–20]. This paper introduces the SymEn method to research the dimensionality and nonlinearity of the vibration signals by reconstructing a Hamilton matrix of the rolling bearing system in symplectic space. It has been applied to deal with the time series from complex systems in the reconstructed phase space, such as dimension estimation, nonlinear analysis, symplectic principal component analysis, reduction noise, data prediction and feature extraction [40–43].

Methodology
Case 1
Case 2:ToStandard
Dimension Analysis of Vibration Signals for the Rolling Bearing
SymEn Analysis of Vibration Signals for the Rolling Bearing
Conclusions
Full Text
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