Dynamics of the wave turbulence spectrum in vibrating plates: A numerical investigation using a conservative finite difference scheme

DOI10.1016/j.physd.2014.04.008zbMath1349.74236OpenAlexW1988528027MaRDI QIDQ2832914

Olivier Cadot, Michele Ducceschi, Stefan Bilbao, Cyril Touzé

Publication date: 15 November 2016

Published in: Physica D: Nonlinear Phenomena (Search for Journal in Brave)

Full work available at URL: https://hal-ensta-paris.archives-ouvertes.fr//hal-01135260/file/WT_hal.pdf

zbMATH Keywords

finite differenceelastic plateconservative schemeimperfectionsnon-stationary wave turbulencepointwise forcing

Mathematics Subject Classification ID

Plates (74K20) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) PDEs in connection with mechanics of deformable solids (35Q74)

Related Items (4)

Phenomenological model for predicting stationary and non-stationary spectra of wave turbulence in vibrating plates ⋮ Conservative numerical methods for the Full von Kármán plate equations ⋮ Non-intrusive reduced order modelling for the dynamics of geometrically nonlinear flat structures using three-dimensional finite elements ⋮ Explicit exactly energy-conserving methods for Hamiltonian systems

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