Transactions of the Korean Society of Mechanical Engineers A (대한기계학회논문집A)

The Korean Society of Mechanical Engineers (대한기계학회)
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Damage Detection in a Beam by the Wavelet Transform

웨이블렛을 이용한 보의 결함진단

  • Published : 2000.02.01
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Abstract

This paper presents a new wavelet-based structural diagnostic technique. A continuous Gabor wavelet transform is shown to a very effective method in detecting damage in a beam. The beam is excited by a broad-band excitation force. For satisfactory results, the selection of an optimal wavelet is very important though the wavelet transform outperforms existing techniques such as the Wigner-Ville distribution. A specific example is given in a solid circular cylinder with a small defect.

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References

  1. 한응교, 김성규, 박준서, 이범성, 박익근, 1992, '초음파 주파수 분석법에 의한 결함의 정량적 평가에 관한 연구,' 대한기계학회논문집, 제16권, 제5호, pp. 1004-1010
  2. Wigner, E. P., 1932, 'On the Quantum Correction for Thermodynamic Equilibrium,' Phys. Rev., Vol. 40, pp. 749-759 https://doi.org/10.1103/PhysRev.40.749
  3. Daubechies, I., 1990, 'The Wavelet Transform Time-Frequency Localization and Signal Analysis,' IEEE Trans. Info.Theory, Vol. 36, No. 5, pp. 961-1005 https://doi.org/10.1109/18.57199
  4. Choi, H. I. and Willanms, W. J., 1989, 'Improved Time-Frequency Representation of Multicomponent Signals using Exponential Kernels,' IEEE Trans. Acoust. Speech, and Signal Proc., Vol 37, No. 6, pp. 862-871 https://doi.org/10.1109/ASSP.1989.28057
  5. Grossmann, A. and Morlet, J., 1984, 'Decomposition of Hardy Functions into Square Integrable Wavelets of Constant Shape,' Siam J. of Math. Anal, Vol. 15, No. 4, pp. 723-736 https://doi.org/10.1137/0515056
  6. Kishimoto, K., Inoue, H., Hamada, M. and Shibuya, T., 1995, 'Time Frequency Analysis of Dispersive Waves by Means of Wavelet Transform,' ASME Trans. J. of Applied Mechanics, Vol 62, pp. 841-846
  7. Inoue, H., Kishimoto, K. and Shibuya, T., 1996, 'Experimental Wavelet Analysis of Flexural Waves in Beams,' Experimental Mechanics, Vol. 36, No. 3, pp. 212-217 https://doi.org/10.1007/BF02318009
  8. Mallat, S., 1998, A Wavelet Tour of Signal Processing, Academic Press, New York
  9. Newland, D. E., 1999, 'Harmonic Wavelets in Vibration and Acoustics,' Royal Society Discussion Meeting
  10. Zemanek, J., 1972, 'An Experimental and Theoretical Investigation of Elastic Wave Propagation in a Cylinder,' J. Acoust. Soc. Am., Vol. 51, pp. 265-283
  11. Miklowitz, J., 1978, The Theory of Elastic Waves and Waveguides, North-Holland, New York