Abstract
In the interest of obtaining an effective bearing degradation feature from complex, nonlinear, and nonstationary vibration signals, a new analytical methodology based on local characteristic-scale decomposition (LCD) and relative entropy theory is proposed. On the one hand, LCD is a new and relatively excellent time-frequency analysis method to analyze practical vibration signals polluted by noise. On the other hand, relative entropy theory is a good way to characterize different degradation states by calculating the probability distribution difference between the degradation signals and the normal signal. Combining the above two theories, two new degradation features named LRNE and LRQE are extracted to indicate the bearing degradation trend from normal state to even failure state. The noise resistance ability and extensive applicability of both the features are verified by simulation signal. For further analysis of experimental vibration signals, the two features have a satisfying performance to characterize different bearing degradation states. With the help of gray relational analysis and fuzzy C-means clustering, the proposed two characteristics can identify different bearing degradation states of inner ring fault mode with high accuracy. In the end, the two features are applied to doing bearing failure analysis with the full-life bearing data. The results show that the LRNE and LRQE are sensitive to bearing degradation trend in the whole life of bearing.
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References
Shuai Zhang, Yongxiang Zhang, Lei Li et al., Rolling elements bearings degradation indicator based on continuous hidden markov model. J Fail. Anal. Preven. 15, 691–696 (2015)
Aiwina Heng, Sheng Zhang, Andy C.C. Tan et al., Rotating machinery prognostics: state of the art, challenges and opportunities. Mech. Syst. Signal Process. 23, 724–739 (2009)
P.K. Kankar, Fault diagnosis of rolling element bearing using cyclic autocorrelation and wavelet transform. Neurocomputing 110, 9–17 (2013)
Fu Kai, Qu Jiangfeng, Yi Chai et al., Hilbert marginal spectrum analysis for automatic seizure detection in EEG signals. Biom. Signal Process. Control. 18, 179–185 (2015)
Xiaomin Zhao, Tejas H. Patel, Ming J. Zuo, Multivariate EMD and full spectrum based condition monitoring for rotating machinery. Mech. Syst. Signal Process. 27, 712–728 (2012)
Cong Wang, Meng Gan, Chang’an Zhu. Non-negative EMD manifold for feature extraction in machinery fault diagnosis. Measurement 70, 188–202 (2015)
Bingbo Cui, Xiyuan Chen, Improved hybrid filter for fiber optic gyroscope signal denoising based on EMD and forward linear prediction. Sens Actuators A 230, 150–155 (2015)
Li Lin, Ji Hongbing, Signal feature extraction based on an improved EMD method. Measurement 42, 796–803 (2009)
J.S. Smith, The local mean decomposition and its application to EEG perception data. J R Soc Interface 2(5), 443–454 (2005)
Y.X. Wang, Z.J. He, Y.Y. Zi, A comparative study on the local mean decomposition and empirical mode decomposition and their applications to rotating machinery health diagnosis. J. Vib. Acoust. 132(2), 613–624 (2010)
Y.X. Wang, Z.J. He, Y.Y. Zi, A demodulation method based on improved local mean decomposition and its application in rub- impact fault diagnosis. Meas. Sci. Technol. 20(2), 1–10 (2009)
J. Cheng, J. Zheng, Y. Yang, A nonstationary signal analysis approach—the local characteristic-scale decomposition method. J. Vibr. Eng. (P.R.China) 25(2), 215–220 (2012)
Y. Yang, M. Zeng, J. Cheng, Research on local characteristic-scale decomposition and its capacities. J. Vibr. Eng. (P.R.China) 25(5), 602–608 (2012)
J.-S. Cheng, Y. Yang, Y. Yang, Local characteristic-scale decomposition method and its application to gear fault diagnosis. J. Mech. Eng. (P.R.China) 48(9), 64–71 (2012)
Jinde Zheng, Junsheng Cheng, Yu. Yang, A rolling bearing fault diagnosis approach based on LCD and fuzzy entropy. Mech. Mach. Theory 70(6), 441–453 (2013)
J. Cheng, J.-D. Zheng, Yanshan Yang. Fault diagnosis model for rolling bearing based on partly ensemble local characteristic-scale decomposition and Laplacian score. J. Vibr. Eng. 27(6), 942–950 (2014)
Yukui Wang, Hongru Li, Bing Wang et al., Spatial Information Entropy and Its Application in the Degradation State Identification of Hydraulic Pump. Math. Probl. Eng. 2015(7), 1–11 (2015)
Yingjie Liang, Wen Chen, A relative entropy method to measure non-exponential random data. Phys. Lett. A 379, 95–99 (2015)
H.L. Schmitt, L.R.B. Silva, P.R. Scalassara, et al. Bearing fault detection using relative entropy of wavelet components and artificial neural networks. in IEEE International Symposium on Diagnostics for Electric Machines, Power Electronics & Drives. 2013, pp. 538–543
Y. Yang, M. Zeng, J. Cheng, A new time-frequency analysis method—the local characteristic-scale decomposition. Hunan Univ. (P.R.China) 39(6), 35–39 (2012)
D. Xu, Y. Xu, X. Chen et al., Residual fatigue life prediction based on grey model and EMD. J. Vibr. Eng. (P.R.China) 24(1), 104–110 (2011)
Loparo K. A. Case Western Reserve University Bearing Data Center [EB/OL]. http://www.eecs.cwru.edu/laboratory/bearing.
X.I.N.G. HongJie, H.U.A. Baogang, An adaptive fuzzy C-mean clustering-based mixture of experts model for unlabeled data classification. Nero Comput. 71, 1008–1021 (2008)
Yong-huang Lin, Pin-Chan Lee, Ta-Peng Chang, Practical expert diagnosis model based on the grey relational analysis technique. Expert Syst. Appl. 36(2), 1523–1528 (2009)
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This project is supported by National Natural Science Foundation of China (Grant No. 51541506).
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Yu, H., Li, H. & Xu, B. Rolling Bearing Degradation State Identification Based on LCD Relative Spectral Entropy. J Fail. Anal. and Preven. 16, 655–666 (2016). https://doi.org/10.1007/s11668-016-0133-y
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DOI: https://doi.org/10.1007/s11668-016-0133-y