11.8 Concluding Remarks

Back

Concepts of wavelets-based continuous and discrete representations have been reviewed. Further, an

overview of vibration-related applications for evolutionary spectrum estimation, random field

simulation, system identification, damage detection, and material characterization has been

included. The list of references is not exhaustive. However, these references can serve as

readily available resources for canvassing the multitude of concepts and applications of this

remarkable tool for capturing and representing localization features of many physical phenomena.

Wavelets-based algorithms and commercial codes are an indispensable family of tools of vibration

analysis and offer, in many cases, a potent improvement over the classical Fourier-transform-based

approaches.

Acknowledgments

The support of this work through a grant from the U.S. Department of Energy is gratefully

acknowledged.

Wavelets — Concepts and Applications 11-19

© 2005 by Taylor & Francis Group, LLC

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