Time-domain simulation of damped impacted plates. I. Theory and experiments

The Journal of the Acoustical Society of America
Antoine Chaigne, C Lambourg

Abstract

A time-domain formulation for the flexural vibrations in damped rectangular isotropic and orthotropic plates is developed, in order to investigate transient excitation of plates by means of sound synthesis. The model includes three basic mechanisms of damping (thermoelasticity, viscoelasticity and radiation) using a general differential operator. The four rigidity factors of the plate are modified by perturbation terms, each term corresponding to one specific damping mechanism. The first damping term is derived from the coupling between the thermoelastic stress-strain relations and the heat diffusion equation. The second term is obtained from the general differential formulation of viscoelasticity. The third term is obtained through a Pade approximation of the damping factor which governs the coupling of the plate with the surrounding air. The decay factors predicted by the model reproduce adequately the dependence on both dimensions and frequency of the decay factors measured on rectangular plates of various sizes and thicknesses made of four different materials (aluminum, glass, carbon fiber, and wood). The numerical resolution of the complete problem, including initial and boundary conditions, and the comparison between real...Continue Reading

References

Apr 28, 2001·The Journal of the Acoustical Society of America·C LambourgD Matignon

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Citations

Sep 1, 2011·The Journal of the Acoustical Society of America·Christophe N J Stoelinga, Robert A Lutfi
Jan 13, 2004·The Journal of the Acoustical Society of America·Grégoire DerveauxEliane Bécache
Apr 3, 2004·The Journal of the Acoustical Society of America·Stephen McAdamsVincent Roussarie
Apr 28, 2001·The Journal of the Acoustical Society of America·C LambourgD Matignon
Sep 8, 2010·The Journal of the Acoustical Society of America·Stephen McAdamsBruno L Giordano
Nov 10, 2009·The Journal of the Acoustical Society of America·Vincent GrulierJean-Christophe Le Roux
Dec 1, 2013·The Journal of the Acoustical Society of America·Lei DingAmir Khan
May 12, 2009·The Journal of the Acoustical Society of America·T G Leighton
Jul 23, 2008·Physical Review Letters·Arezki BoudaoudCyril Touzé
May 16, 2018·Physical Review. E·Gustavo Castillo, Claudio Falcón

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