Dispersion-Based Continuous Wavelet Transform for the Analysis of Elastic Waves

The continuous wavelet transform (CWT) has a frequency-adaptive time-frequency tiling property, which makes it popular for the analysis of dispersive elastic wave signals. However, because the time-frequency tiling of CWT is not signal-dependent, it still has some limitations in the analysis of elas...

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Bibliographic Details
Published in:Journal of mechanical science and technology 2006, 20(12), , pp.2147-2158
Main Authors: KYUNG HO SUN, HONG, Jin-Chul, YOON YOUNG KIM
Format: Article
Language:English
Subjects:
Continuous wavelet transform
Dispersions
Elastic waves
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Mathematical models
Physics
Ridges
Solid mechanics
Spectra
Static elasticity (thermoelasticity...)
Structural and continuum mechanics
Tiling
Vibration, mechanical wave, dynamic stability (aeroelasticity, vibration control...)
Wave dispersion
기계공학
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Summary:The continuous wavelet transform (CWT) has a frequency-adaptive time-frequency tiling property, which makes it popular for the analysis of dispersive elastic wave signals. However, because the time-frequency tiling of CWT is not signal-dependent, it still has some limitations in the analysis of elastic waves with spectral components that are dispersed rapidly in time. The objective of this paper is to introduce an advanced time-frequency analysis method, called the dispersion-based continuous wavelet transform (D-CWT) whose time-frequency tiling is adaptively varied according to the dispersion relation of the waves to be analyzed. In the D-CWT method, time-frequency tiling can have frequency-adaptive characteristics like CWT and adaptively rotate in the time-frequency plane depending on the local wave dispersion. Therefore, D-CWT provides higher time-frequency localization than the conventional CWT. In this work, D-CWT method is applied to the analysis of dispersive elastic waves measured in waveguide experiments and an efficient procedure to extract information on the dispersion relation hidden in a wave signal is presented. In addition, the ridge property of the present transform is investigated theoretically to show its effectiveness in analyzing highly time-varying signals. Numerical simulations and experimental results are presented to show the effectiveness of the present method.[PUBLICATION ABSTRACT]
ISSN:1738-494X
1976-3824
DOI:10.1007/BF02916331