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Mathematical Problems in Engineering
Volume 2008, Article ID 510406, 15 pages
http://dx.doi.org/10.1155/2008/510406
Research Article

Tool Wear Detection Based on Duffing-Holmes Oscillator

1College of Mechanical Engineering, Donghua University, Shanghai 201620, China
2Shanghai University of Science, 333#, Longteng Road, Songjiang district, Shanghai 201620, China

Received 28 May 2008; Accepted 27 July 2008

Academic Editor: Carlo Cattani

Copyright © 2008 Wanqing Song et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Linked References

  1. S. Damodarasamy and S. Raman, “An inexpensive system for classifying tool wear states using pattern recognition,” Wear, vol. 170, no. 2, pp. 149–160, 1993. View at Publisher · View at Google Scholar
  2. S. Wanqing, Y. Jianguo, and Q. Chen, “Tool condition monitoring based on fractal and wavelet analysis by acoustic emission,” in Proceedings of the International Conference on Computational Science and Its Applications (ICCSA '07), vol. 4705 of Lecture Notes in Computer Science, pp. 469–479, Kuala Lumpur, Malaysia, August 2007. View at Publisher · View at Google Scholar
  3. Y. Yao, X. Li, and Z. Yuan, “Tool wear detection with fuzzy classification and wavelet fuzzy neural network,” International Journal of Machine Tools and Manufacture, vol. 39, no. 10, pp. 1525–1538, 1999. View at Publisher · View at Google Scholar
  4. S.-S. Cho and K. Komvopoulos, “Correlation between acoustic emission and wear of multi-layer ceramic coated carbide tools,” Journal of Manufacturing Science and Engineering, vol. 119, no. 2, pp. 238–246, 1997. View at Publisher · View at Google Scholar
  5. N. Hu, X. Wen, and M. Chen, “Application of the Duffing chaotic oscillator model for early fault diagnosis-I. Basic theory,” International Journal of Plant Engineering and Management, vol. 7, no. 2, pp. 67–75, 2006. View at Google Scholar
  6. Y. Li and B. Yang, “Chaotic system for the detection of periodic signals under the background of strong noise,” Chinese Science Bulletin, vol. 48, no. 5, pp. 508–510, 2003. View at Publisher · View at Google Scholar
  7. D. Liu, H. Ren, L. Song, and H. Li, “Weak signal detection based on chaotic oscillator,” in Proceedings of the 40th IAS Annual Meeting on Industry Applications Conference, vol. 3, pp. 2054–2058, Hong Kong, October 2005. View at Publisher · View at Google Scholar
  8. B. Le, Z. Liu, and T. Gu, “Chaotic oscillator and other techniques for detection of weak signals,” IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences, vol. E88-A, no. 10, pp. 2699–2701, 2005. View at Publisher · View at Google Scholar
  9. S. Zheng, H. Guo, Y. Li, B. Wang, and P. Zhang, “A new method for detecting line spectrum of ship-radiated noise using duffing oscillator,” Chinese Science Bulletin, vol. 52, no. 14, pp. 1906–1912, 2007. View at Publisher · View at Google Scholar
  10. J. C. Sprott, Chaos and Time-Series Analysis, Oxford University Press, New York, NY, USA, 2003. View at Zentralblatt MATH · View at MathSciNet
  11. F. Grond and H. H. Diebner, “Local Lyapunov exponents for dissipative continuous systems,” Chaos, Solitons & Fractals, vol. 23, no. 5, pp. 1809–1817, 2005. View at Publisher · View at Google Scholar · View at Zentralblatt MATH
  12. G. Wang, D. Chen, J. Lin, and X. Chen, “The application of chaotic oscillators to weak signal detection,” IEEE Transactions on Industrial Electronics, vol. 46, no. 2, pp. 440–444, 1999. View at Publisher · View at Google Scholar
  13. F. C. Moon, Chaotic and Fractal Dynamics: An Introduction for Applied Scientists and Engineers, A Wiley-Interscience Publication, John Wiley & Sons, New York, NY, USA, 1992. View at MathSciNet
  14. T. A. Bartler, Lyapunov exponents and chaos investigation, Doctoral dissertation, University of Cincinnati, Cincinnati, Ohio, USA, 1999.
  15. F. E. Udwadia and H. F. von Bremen, “An efficient and stable approach for computation of Lyapunov characteristic exponents of continuous dynamical systems,” Applied Mathematics and Computation, vol. 121, no. 2-3, pp. 219–259, 2001. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet
  16. F. E. Udwadia and H. F. von Bremen, “Computation of Lyapunov characteristic exponents for continuous dynamical systems,” Zeitschrift für Angewandte Mathematik und Physik, vol. 53, no. 1, pp. 123–146, 2002. View at Publisher · View at Google Scholar · View at Zentralblatt MATH · View at MathSciNet