Fourier analysis of wave turbulence in a thin elastic plate |
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Authors: | N Mordant |
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Institution: | (1) Department of Applied Mathmatical Analysis, Faculty of Electrical Engineering, Mathematics and Computer Science, TU Delft, Mekelweg 4, 2628 CD Delft, The Netherlands |
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Abstract: | The spatio-temporal dynamics of the deformation of a vibrated plate is measured by a high speed Fourier transform profilometry
technique. The space-time Fourier spectrum is analyzed. It displays a behavior consistent with the premises of the Weak Turbulence
theory. A isotropic continuous spectrum of waves is excited with a non linear dispersion relation slightly shifted from the
linear dispersion relation. The spectral width of the dispersion relation is also measured. The non linearity of this system
is weak as expected from the theory. Finite size effects are discussed. Despite a qualitative agreement with the theory, a
quantitative mismatch is observed which origin may be due to the dissipation that ultimately absorbs the energy flux of the
Kolmogorov-Zakharov casade. |
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Keywords: | |
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