-The effect of damping in the wave turbulence regime for thin vibrating plates is studied. An experimental method, allowing measurements of dissipation in the system at all scales, is first introduced. Practical experimental devices for increasing the dissipation are used. The main observable consequence of increasing the damping is a significant modification in the slope of the power spectral density, so that the observed power laws are not in a pure inertial regime. However, the system still displays a turbulent behavior with a cut-off frequency that is determined by the injected power which does not depend on damping. By using the measured damping power-law in numerical simulations, similar conclusions are drawn out.Introduction. -Wave (or weak) turbulence theory (WTT) aims at describing the long time behavior of weakly non linear systems with energy exchanges between scales. It predicts for long time broadband KolmogorovZakharov spectra, by analogy with hydrodynamic turbulence [1][2][3]. A large number of situations have been studied over the years starting from the initial context of water waves [4][5][6][7], to nonlinear optics [8] or Alfven Waves in plasmas [9] for instance.Wave turbulence for elastic vibrating plates has been investigated theoretically in 2006 [10], rapidly followed by two experimental works [11,12]. The theoretical analysis considers the dynamics in the framework of the von Kármán equations. For a thin plate of thickness h, Poisson ratio ν, density ρ and Young's modulus E, it yields [13]
International audienceWe experimentally study resonant interactions of oblique surface gravity waves in a large basin. Our results strongly extend previous experimental results performed mainly for perpendicular or collinear wave trains. We generate two oblique waves crossing at an acute angle, while we control their frequency ratio, steepnesses and directions. These mother waves mutually interact and give birth to a resonant wave whose properties (growth rate, resonant response curve and phase locking) are fully characterized. All our experimental results are found in good quantitative agreement with four-wave interaction theory with no fitting parameter. Off-resonance experiments are also reported and the relevant theoretical analysis is conducted and validated
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