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Keywords = AM-correntropy

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Article
Fast EEMD Based AM-Correntropy Matrix and Its Application on Roller Bearing Fault Diagnosis
by Yunxiao Fu, Limin Jia, Yong Qin, Jie Yang and Ding Fu
Entropy 2016, 18(7), 242; https://doi.org/10.3390/e18070242 - 28 Jun 2016
Cited by 10 | Viewed by 5431
Abstract
Roller bearing plays a significant role in industrial sectors. To improve the ability of roller bearing fault diagnosis under multi-rotating situation, this paper proposes a novel roller bearing fault characteristic: the Amplitude Modulation (AM) based correntropy extracted from the Intrinsic Mode Functions (IMFs), [...] Read more.
Roller bearing plays a significant role in industrial sectors. To improve the ability of roller bearing fault diagnosis under multi-rotating situation, this paper proposes a novel roller bearing fault characteristic: the Amplitude Modulation (AM) based correntropy extracted from the Intrinsic Mode Functions (IMFs), which are decomposed by Fast Ensemble Empirical mode decomposition (FEEMD) and employ Least Square Support Vector Machine (LSSVM) to implement intelligent fault identification. Firstly, the roller bearing vibration acceleration signal is decomposed by FEEMD to extract IMFs. Secondly, IMF correntropy matrix (IMFCM) as the fault feature matrix is calculated from the AM-correntropy model of the primary vibration signal and IMFs. Furthermore, depending on LSSVM, the fault identification results of the roller bearing are obtained. Through the bearing identification experiments in stationary rotating conditions, it was verified that IMFCM generates more stable and higher diagnosis accuracy than conventional fault features such as energy moment, fuzzy entropy, and spectral kurtosis. Additionally, it proves that IMFCM has more diagnosis robustness than conventional fault features under cross-mixed roller bearing operating conditions. The diagnosis accuracy was more than 84% for the cross-mixed operating condition, which is much higher than the traditional features. In conclusion, it was proven that FEEMD-IMFCM-LSSVM is a reliable technology for roller bearing fault diagnosis under the constant or multi-positioned operating conditions, and as such, it possesses potential prospects for a broad application of uses. Full article
(This article belongs to the Section Complexity)
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Graphical abstract

Graphical abstract
Full article ">Figure 1
<p>Roller bearing fault diagnosis method based on FEEMD-IMFCM-LSSVM. FEEMD: Fast Ensemble Empirical mode decomposition; IMF: Intrinsic Mode Functions; IMFCM: IMF correntropy matrix; LSSVM: Least Square Support Vector Machine.</p>
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<p>The curve of log<sub>10</sub>(CTC) versus data length <span class="html-italic">m</span>. CTC: Computational Time Complexity; EMD: Empirical Mode Decomposition; EEMD: Ensemble Empirical Mode Decomposition.</p>
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<p>Roller bearing vibration test rig.</p>
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<p>The relationship curve of the data length, IMF number and computational time. (<b>a</b>) EMD algorithm; (<b>b</b>) EEMD algorithm; (<b>c</b>) fast EEMD algorithm.</p>
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<p>View of inner race fault bearing signal IMFs in A group of 0.007 inches fault diameter. (<b>a</b>) Inner race fault signal IMFs by EMD in A group; (<b>b</b>) Inner race fault signal IMFs by EEMD in A group; (<b>c</b>) Inner race fault signal IMFs by FEEMD in A group.</p>
Full article ">Figure 5 Cont.
<p>View of inner race fault bearing signal IMFs in A group of 0.007 inches fault diameter. (<b>a</b>) Inner race fault signal IMFs by EMD in A group; (<b>b</b>) Inner race fault signal IMFs by EEMD in A group; (<b>c</b>) Inner race fault signal IMFs by FEEMD in A group.</p>
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<p>FEEMD-IMFCM-LSSVM roller bearing fault identification experiment flow diagram.</p>
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<p>Chromatogram of the eight and four dimensional Feature Matrixes in A Group (0.007 inches fault diameter). (<b>a</b>) Eight-IMF feature matrix; (<b>b</b>) Eight-IMF feature matrix.</p>
Full article ">Figure 7 Cont.
<p>Chromatogram of the eight and four dimensional Feature Matrixes in A Group (0.007 inches fault diameter). (<b>a</b>) Eight-IMF feature matrix; (<b>b</b>) Eight-IMF feature matrix.</p>
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<p>Rotating speed and load distribution in training and testing sample sets of HG and BG.</p>
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<p>Dimension reduction superiority for feature matrixes reflected in classification results of A Group. (<b>a</b>) IMFCM classification result comparison between eight-IMF and four-IMF; (<b>b</b>) IMF energy moment matrix (IMFEMM) classification result comparison between eight-IMF and four-IMF; (<b>c</b>) IMF fuzzy entropy matrix (IMFFEM) classification result comparison between eight-IMF and four-IMF; (<b>d</b>) IMF spectral kurtosis matrix (IMFSKM) classification result comparison between eight-IMF and four-IMF.</p>
Full article ">Figure 10
<p>Fault identification result of Homogeneous Group (0.014 inches). (<b>a</b>) IMFCM; (<b>b</b>) IMFEMM; (<b>c</b>) IMFFEM; (<b>d</b>) IMFSKM.</p>
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<p>Fault identification result of Bias group (0.021 inches). (<b>a</b>) IMFCM; (<b>b</b>) IMFEMM; (<b>c</b>) IMFFEM; (<b>d</b>) IMFSKM.</p>
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