Abstract
In this paper, the use of wavelet analysis is examined for the processing of transient signals in civil engineering. These signals generally decay with time; they are frequency modulated and they can be considered asymptotic. After an introduction about the use of wavelet analysis in the processing of transient signals, the procedure for the treatment of asymptotic signals with wavelet transform is shortly presented and the local time and frequency resolutions are given when the mother wavelet is the Cauchy wavelet. The procedure is then applied to two sets of signals obtained from civil engineering experiments. The applications concern the improvement of the impact-echo method and the processing of free oscillations of buildings after non-destructive shock tests.
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References
Grossmann A., Monet J. (1984) Decomposition of Hardy functions into square integrable wavelets of constant shape. SIAM J. Math Anal. 15, 723–736
Williams, J. R., Amaratunga, K. (1994) Introduction to wavelets in engineering. Int. J. Num. Methods. in Eng. 37, 2365–2388
Ghanem, R., Romeo, F. (2000) A wavelet-based approach for the identification of linear time-varying dynamical systems. J. Sound and Vib. 234(4), 555–576
Torrésani B. (1995) Analyse Continue Par Ondelettes. InterEditions & CNRS Editions, Paris
Carmona R., Hwang W-L., Torrésani B. (1998) Practical Time-Frequency Analysis. Academic Press, San Diego, London
Tang S.K. (2000) On the time-frequency analysis of signals that decay exponentially with time. J. Sound and Vib. 324(2), 241–258
Gram-Hansen K., Dorize C. (1992) On the choice of parameters for timefrequency analysis. Proc. “Wavelets and Applications”, Marseille, 86–92
Sansalone M and Streett W.B. (1997) Impact-echo: Nondestructive Evaluation of Concrete and Masonry. Bullbrier Press, USA
Abraham O., Leonard C., Cote and Piwakowski B. (2000) Time frequency analysis of impact-echo signals : numerical modeling and experimental validation. ACT Materials J. 97(6), 645–657
Argoul P., Hans S., Conti F., Boutin C. (2000) Time-frequency analysis of free oscillations of mechanical structures. Application to the identification of the mechanical behavior of buildings under shocks. Proc. COST F3 Conf. “System Identification and Structural Health Monitoring”, Madrid, Spain, 283–292
Trifunac M.D. (1972) Comparisons between ambient and force vibrations ex-periments. Earthquake Engin. and Struct. Dyn. 1, 133–150
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© 2004 Springer-Verlag Berlin Heidelberg
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Argoul, P., Le, T.P. (2004). Wavelet Analysis of Transient Signals in Civil Engineering. In: Frémond, M., Maceri, F. (eds) Novel Approaches in Civil Engineering. Lecture Notes in Applied and Computational Mechanics, vol 14. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45287-4_26
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DOI: https://doi.org/10.1007/978-3-540-45287-4_26
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07529-2
Online ISBN: 978-3-540-45287-4
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