English

Transition from wave turbulence to dynamical crumpling in vibrated elastic plates

Chaotic Dynamics 2015-06-16 v2 Fluid Dynamics

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.

Keywords

Cite

@article{arxiv.1306.0313,
  title  = {Transition from wave turbulence to dynamical crumpling in vibrated elastic plates},
  author = {Benjamin Miquel and Alexandros Alexakis and Christophe Josserand and Nicolas Mordant},
  journal= {arXiv preprint arXiv:1306.0313},
  year   = {2015}
}

Comments

accepted for publication in Physical Review Letters