Linear Dynamical Identification: An Integral Transform seen as a Complex Wavelet Transform |
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Authors: | ARGOUL PIERRE |
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Institution: | (1) Laboratoire des Matériaux et des Structures de Génie Civil, UMR 113 - CNRS-LCPC, 2 Allée Kepler, 77 420 Camps-sur-Marne, France |
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Abstract: | This paper presents a technique that allows the direct linearidentification of frequency response functions from the computation ofa weighted integral transform. This transform allows toemphasize the influence of the poles and zeros of the frequencyresponse functions its formation is based on the Cauchy--Weierstrass theorem. It isthen shown that this transform is directly linked to a complex wavelettransform. This representation with a wavelet transform provides abetter understanding of the amplification effects of the weightedintegral transform and allows the singularities analysis. |
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Keywords: | Identification Modal analysis Wavelets Transform methods Solid mechanics |
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