English

Wave turbulence in vibrating plates : the effect of damping

Chaotic Dynamics 2017-09-28 v1 Fluid Dynamics

Abstract

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.

Keywords

Cite

@article{arxiv.1709.09438,
  title  = {Wave turbulence in vibrating plates : the effect of damping},
  author = {Thomas Humbert and Olivier Cadot and Gustavo Düring and Christophe Josserand and Sergio Rica and Cyril Touzé},
  journal= {arXiv preprint arXiv:1709.09438},
  year   = {2017}
}

Comments

6 pages, 6 figures