2004
DOI: 10.1016/j.jsv.2003.08.049
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Continuous wavelet transform for modal identification using free decay response

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Cited by 152 publications
(123 citation statements)
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“…Also, considering the first-order approximation restricted to T 0 -scale solution (CD frequencies), the comparison with direct numerical integration solution shows that they are very different too, even in lower frequencies considering that the lower extreme values The numerical responses in fourth case, for both lateral bending motions, have been further analysed using wavelet transform (with Morlet motherwavelet) with a MATLAB tool developed in University of Liege [32,33]. In Fig.…”
Section: Comparison Of Multiple Scales Solution With Direct Numericalmentioning
confidence: 99%
“…Also, considering the first-order approximation restricted to T 0 -scale solution (CD frequencies), the comparison with direct numerical integration solution shows that they are very different too, even in lower frequencies considering that the lower extreme values The numerical responses in fourth case, for both lateral bending motions, have been further analysed using wavelet transform (with Morlet motherwavelet) with a MATLAB tool developed in University of Liege [32,33]. In Fig.…”
Section: Comparison Of Multiple Scales Solution With Direct Numericalmentioning
confidence: 99%
“…For all functions y(t) satisfying the condition ∫ þ∞ À∞ jyðtÞj 2 dt < ∞, which implies that y(t) decays to zero at ±∞, the wavelet transform of y(t) is defined as [10][11][12][13][14][15]:…”
Section: The Continuous Wavelet Transform 41 Definition and Propertiesmentioning
confidence: 99%
“…This is due to the fact that the two modes are very close and only 151 time samples are used in the analysis. It is shown in [14] that it is necessary to have a long recording time and an important number of time samples to identify correctly closely spaced modes. Furthermore, the vibrating system is very quickly attenuated: the time response decreases rapidly and, it is shown in [14], the continuous wavelet transform gives good results if the time response is not attenuated abruptly.…”
Section: Simulated Datamentioning
confidence: 99%
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“…Such plots enable one to deduce the temporal evolutions of the dominant frequency components of the signals analyzed. In recent works by Argoul and co-workers [4][5][6], the Continuous Cauchy WT was applied to system identification of linear dynamical systems.…”
Section: A New Way For Multi-frequency Nonlinear Energy Transfermentioning
confidence: 99%