Fourier analysis of wave turbulence in a thin elastic plate
arXiv:1006.3668 · doi:10.1140/epjb/e2010-00197-y
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.
accepted for publication in European Physical Journal B see http://www.epj.org
References in corpus (5)
Cited by in corpus (6)
- Nonlocal resonances in weak turbulence of gravity-capillary waves
- The role of dissipation in flexural wave turbulence: from experimental spectrum to Kolmogorov-Zakharov spectrum
- On the Properties of Energy Flux in Wave Turbulence
- Intermittency and emergence of coherent structures in wave turbulence of a vibrating plate
- Single-wavenumber Representation of Nonlinear Energy Spectrum in Elastic-Wave Turbulence of {F}öppl-von {K}ármán Equation: Energy Decomposition Analysis and Energy Budget
- Path integral description and direct interaction approximation for elastic plate turbulence