Transition from wave turbulence to dynamical crumpling in vibrated elastic plates
arXiv:1306.0313 · doi:10.1103/PhysRevLett.111.054302
Abstract
We study the dynamical regime of wave turbulence of a vibrated thin elastic plate based on experimental and numerical observations. We focus our study to the strongly non linear regime described in a previous letter by N. Yokoyama & M. Takaoka. At small forcing, a weakly non linear regime is compatible with the Weak Turbulence Theory when the dissipation is localized at high wavenumber. When the forcing intensity is increased, a strongly non linear regime emerges: singular structures dominate the dynamics at large scale whereas at small scales the weak turbulence is still present. A turbulence of singular structures, with folds and D-cones, develops that alters significantly the energy spectra and causes the emergence of intermittency.
accepted for publication in Physical Review Letters
References in corpus (8)
- Observation of wave turbulence in vibrating plates
- Are there waves in elastic wave turbulence ?
- Wave turbulence in vibrating plates : the effect of damping
- Observation of nonlinear dispersion relation and spatial statistics of wave turbulence on the surface of a fluid
- Fourier analysis of wave turbulence in a thin elastic plate
- Space-Time Resolved Capillary Wave Turbulence
- Weak and strong wave turbulence spectra for elastic thin plate
- Nonlinear dynamics of flexural wave turbulence
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