Application of Wavelet Theory for Crack Identification in Structures
Publication: Journal of Engineering Mechanics
Volume 124, Issue 2
Abstract
This paper presents the first attempt of an application of the wavelet theory for the crack identification of structures. As a case study, we consider the crack identification using the wavelet theory for a simply supported beam with a transverse on-edge nonpropagating open crack. A mathematical model of the cracked beam is derived and the wavelet expressions in the space domain are proposed for solution. For comparison purposes, the simply supported cracked beam is solved using both the eigentheory and the wavelet method of analysis. The results show that crack identification via wavelet analysis is accomplished easily whereas it can hardly be detected by the traditional eigenvalue analysis.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Cawley, P., and Adams, R. D.(1979). “A vibration technique for non-destructive testing of fiber composite structures.”J. Composite Mat., 13(2), 161–175.
2.
Flandrin, P., and Goncalves, P. (1993). “From wavelets to time-scale energy distributions.”Recent advances in wavelet analysis, L. L. Schumaker and G. Webb., eds., Harcourt Brace and Company, New York, N.Y.
3.
Irwin, G. R.(1956). “Analysis of stresses and strains near the end of a crack transversing a plate.”Trans. ASME J. Appl. Mech., 24(1), 361–364.
4.
Krawczuk, M., and Ostachowicz, W. M.(1995). “Modeling and vibration analysis of a cantilever composite beam with a transverse open crack.”J. Sound and Vibration, 183(1), 69–89.
5.
Wang, Q., Wang, D. J., and Leung, A. Y. T. (1995). “Method of successive decrease and concept of harmonic wave filter in structural wave control.”Proc. 15th ASME Biennial Conf. on Mech. Vibration and Noise, ASME, New York, N.Y.
6.
Wauer, J.(1991). “Dynamics of cracked rotors: a literature survey.”Trans. ASME Appl. Mech. Rev., 17(1), 1–7.
Information & Authors
Information
Published In
Copyright
Copyright © 1998 American Society of Civil Engineers.
History
Published online: Feb 1, 1998
Published in print: Feb 1998
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.