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We studied vibrating elastic plate turbulence using numerical simulations. Increased forcing revealed intermittency and nonlinear structures, indicating a breakdown of weak turbulence theory at large scales.

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Area of Science:

  • Fluid Dynamics
  • Nonlinear Physics
  • Computational Physics

Background:

  • Turbulence in elastic plates is complex.
  • Weak wave turbulence theory provides a framework for understanding wave interactions.
  • Intermittency, or bursts of activity, is a key feature of many turbulent systems.

Purpose of the Study:

  • To investigate the onset of intermittency in vibrating elastic plate turbulence.
  • To compare numerical results with weak wave turbulence theory.
  • To analyze the statistical properties of fluctuations under varying forcing conditions.

Main Methods:

  • Numerical simulations of vibrating elastic plates.
  • Computation of displacement field spectra.
  • Calculation of fluctuation structure functions.
  • Analysis of nonlinear frequency and multifractal models.

Main Results:

  • At low forcing, results align with weak wave turbulence theory and Gaussian statistics.
  • Increased forcing leads to spectral variations at large scales due to nonlinear structures.
  • Small-scale intermittency emerges, fitting a multifractal model.
  • Intermittency is linked to the breakdown of weak turbulence at large scales.

Conclusions:

  • Vibrating elastic plate turbulence exhibits intermittency under increased forcing.
  • The observed intermittency deviates from standard weak wave turbulence predictions at large scales.
  • Nonlinear structures and multifractal statistics characterize the intermittent regime.