Skip to main content
Log in

Rolling Bearing Degradation State Identification Based on LCD Relative Spectral Entropy

  • Technical Article---Peer-Reviewed
  • Published:
Journal of Failure Analysis and Prevention Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  1. 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)

    Article  Google Scholar 

  2. 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)

    Article  Google Scholar 

  3. P.K. Kankar, Fault diagnosis of rolling element bearing using cyclic autocorrelation and wavelet transform. Neurocomputing 110, 9–17 (2013)

    Article  Google Scholar 

  4. 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)

    Article  Google Scholar 

  5. 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)

    Article  Google Scholar 

  6. Cong Wang, Meng Gan, Chang’an Zhu. Non-negative EMD manifold for feature extraction in machinery fault diagnosis. Measurement 70, 188–202 (2015)

    Article  Google Scholar 

  7. 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)

    Article  Google Scholar 

  8. Li Lin, Ji Hongbing, Signal feature extraction based on an improved EMD method. Measurement 42, 796–803 (2009)

    Article  Google Scholar 

  9. J.S. Smith, The local mean decomposition and its application to EEG perception data. J R Soc Interface 2(5), 443–454 (2005)

    Article  Google Scholar 

  10. 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)

    Google Scholar 

  11. 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)

    Google Scholar 

  12. 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)

    Google Scholar 

  13. 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)

    Google Scholar 

  14. 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)

    Article  Google Scholar 

  15. 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)

    Article  Google Scholar 

  16. 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)

    Google Scholar 

  17. 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)

    Google Scholar 

  18. Yingjie Liang, Wen Chen, A relative entropy method to measure non-exponential random data. Phys. Lett. A 379, 95–99 (2015)

    Article  Google Scholar 

  19. 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

  20. 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)

    Google Scholar 

  21. 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)

    Google Scholar 

  22. Loparo K. A. Case Western Reserve University Bearing Data Center [EB/OL]. http://www.eecs.cwru.edu/laboratory/bearing.

  23. 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)

    Google Scholar 

  24. 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)

    Article  Google Scholar 

Download references

Acknowledgments

This project is supported by National Natural Science Foundation of China (Grant No. 51541506).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to He Yu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

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

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11668-016-0133-y

Keywords

Navigation