Time Frequency Analysis of Dispersive Waves by Means of Wavelet Transform

Author:

Kishimoto Kikuo1,Inoue Hirotsugu1,Hamada Makoto1,Shibuya Toshikazu1

Affiliation:

1. Department of Mechanical and Intelligent Systems Engineering, Tokyo Institute of Technology, 2-12-1, O-okayama, Meguro-ku, Tokyo 152, Japan

Abstract

A new approach is presented for investigating the dispersive character of structural waves. The wavelet transform is applied to the time-frequency analysis of dispersive waves. The flexural wave induced in a beam by lateral impact is considered. It is shown that the wavelet transform using the Gabor wavelet effectively decomposes the strain response into its time-frequency components. In addition, the peaks of the time-frequency distribution indicate the arrival times of waves. By utilizing this fact, the dispersion relation of the group velocity can be accurately identified for a wide range of frequencies.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference21 articles.

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2. Daubechies, I., 1992, Ten Lectures on Wavelets, SIAM, Philadelphia, PA.

3. Flandrin, P., Vidalie, B., and Rioul, O., 1991, “Fourier and Wavelet Spectrograms Seen as Smoothed Wigner-Ville Distributions,” Wavelets and Applications, Y. Mayer, ed., Masson/Springer-Verlag, Paris/Berlin, pp. 93–103.

4. Goupillaud P. , GrossmannA., and MorletJ., 1994, “Cycle-Octave and Re-lated Transforms in Seismic Signal Analysis,” Geoexploration, Vol. 23, pp. 85–102.

5. Graft, K. F., 1975, Wave Motion in Elastic Solids, Dover, New York.

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