Skip to main content

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5226))

Included in the following conference series:

  • 1277 Accesses

Abstract

Entropy changes with the variation of the system status. It has been widely used as a standard for the determination of system status, quantity of system complexity and system classification. Based on the singular spectrum entropy of traditional calculation method, a sliding singular spectrum entropy method is proposed to use for singularity detection and extraction of impaction signal. Each original signal point is intercepted a neighborhood points of the signal with a given length and the singular spectrum entropy for the intercepted signal is calculated. A surrogate signal with the same length as the original signal is acquired by point-to-point calculation. Numerical simulation and gear fault diagnosis experiment are studied to verify the proposed method, the results show that the method is valid for the reflection on the changing of system status, singularity detection and the extraction of the weak fault feature signal mixed in the strong background signal.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 189.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Kanty, H., Schreiber, T.: Nonlinear Time Series Analysis. Cambridge University Press, Cambridge (1997)

    Google Scholar 

  2. Metin, A.: Nonlinear Biomedical Signal Processing. In: Dynamic Analysis and Modeling, vol. II. IEEE Press, New York (2001)

    Google Scholar 

  3. Yang, W.X., Jiang, J.S.: Study on the Singular Entropy of Mechanical Signal. Chinese Journal of Mechanical Engineering 36(12), 10–13 (2000)

    Google Scholar 

  4. Lu, Z.M., Zhang, W.J., Xu, J.W.: Application of Noise Reduction Method Based on Singular Spectrum in Gear Fault Diagnosis. Chinese Journal Of Mechanical Engineering 35(3), 95–99 (2000)

    Google Scholar 

  5. Yu, B., Li, Y.H., Zhang, P.: Application of Correlation Dimension and Kolmogorov Entropy in Aeroengine Fault Diagnosis. Journal of Aerospace Power 21(1), 22–24 (2006)

    MathSciNet  Google Scholar 

  6. Shen, T., Huang, S.H., Han, S.M., Yang, S.Z.: Extracting Information Entropy Features for Rotating Machinery Vibration Signals. Chinese Journal of Mechanical Engineering 37(6), 94–98 (2001)

    Article  Google Scholar 

  7. Roberts, S.J., Penny, W., Rezek, I.: Temporal and Spatial Complexity Measures for EEG-based Brain-computer Interfacing. Medical and Biological Engineering and Computing 37(1), 93–99 (1998)

    Article  Google Scholar 

  8. Lu, Y., Li, Y.R., Wang, Z.G.: Research on a Extraction Method for Weak Fault Signal and Its application. Journal of Vibration Engineering 20(1), 24–28 (2007)

    Google Scholar 

  9. Liu, X.D., Yang, S.P., Shen, Y.J.: New Method of Detecting Abrupt Information Based on Singularity Value Decomposition and Its Application. Chinese Journal of Mechanical Engineering 38(6), 102–105 (2002)

    Google Scholar 

  10. Tenenbaum, J.B., Silva, V., Langford, J.C.: A Global Geometric Framework for Nonlinear Dimensionality Reduction. Science 22, 2319–2323 (2000)

    Article  Google Scholar 

  11. Schreiber, T., Schmitz, A.: On the Discrimination Power of Measures for Nonlinearity in a Time Series. Phys. Rev. E. 55, 5443–5447 (1997)

    Article  Google Scholar 

  12. Kim, K., Parlos, A.G.: Model-based Fault Diagnosis of Induction Motors Using Non-stationary Signal Segmentation. Mechanical Systems and Signal Processing 16(2-3), 223–253 (2002)

    Article  Google Scholar 

  13. Cheng, J., Yu, D., Yang, Y.: Application of an Impulse Response Wavelet to Fault Diagnosis of Roller Bearings. Mechanical Systems and Signal Processing 21(2), 920–929 (2007)

    Article  Google Scholar 

  14. Abbasion, S., Rafsanjani, A., Farshidianfar, A., et al.: Rolling Element Bearings Multi-fault Classification Based on the Wavelet De-noising and Support Vector Machine. Mechanical Systems and Signal Processing 21(7), 2933–2945 (2007)

    Article  Google Scholar 

  15. Lu, Y., Li, Y.R., Xu, J.W.: Weighted Phase Space Reconstruction Algorithm for Noise Reduction and its Application. Chinese Journal of Mechanical Engineering 43(8), 171–174 (2007)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2008 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Lu, Y., Li, Y., Xiao, H., Wang, Z. (2008). A Sliding Singular Spectrum Entropy Method and Its Application to Gear Fault Diagnosis. In: Huang, DS., Wunsch, D.C., Levine, D.S., Jo, KH. (eds) Advanced Intelligent Computing Theories and Applications. With Aspects of Theoretical and Methodological Issues. ICIC 2008. Lecture Notes in Computer Science, vol 5226. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-87442-3_83

Download citation

  • DOI: https://doi.org/10.1007/978-3-540-87442-3_83

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-87440-9

  • Online ISBN: 978-3-540-87442-3

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics