Time Frequency Analysis of Dispersive Waves by Means of Wavelet Transform

[+] Author and Article Information
Kikuo Kishimoto, Hirotsugu Inoue, Makoto Hamada, Toshikazu Shibuya

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

J. Appl. Mech 62(4), 841-846 (Dec 01, 1995) (6 pages) doi:10.1115/1.2896009 History: Received March 31, 1994; Revised March 10, 1995; Online October 30, 2007


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.

Copyright © 1995 by The American Society of Mechanical Engineers
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