Abstract
The coupling between a cavity and a vibrating plate is written as a strong coupling where both the continuity of stresses and particle velocities at the interface are taken into account. A FEM analysis reveals an important coupling between the first mode of the plate and the cavity. The pressure distribution in the cavity shows a strong quarter of a wave length pattern indicating the influence of the first Dirichlet mode in the cavity.
The vibrating plate is then excited by a turbulent flow modelled by its spectral density using the Corcos model. A comparison is made between the results obtained from a FEM and a BEM formulation. Good agreements are observed concerning the plate displacements. The comparison of the cavity sound pressure levels is less good.
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Dhainaut, M., Kristiansen, U.R. & Filippi, P.J. Sound Radiated in a Cavity by a Vibrating Plate: Comparison between the Results of a Finite Element Method (FEMAK) and a Boundary Element Method (NoVAlea2D). Flow, Turbulence and Combustion 61, 43–53 (1998). https://doi.org/10.1023/A:1026487315387
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DOI: https://doi.org/10.1023/A:1026487315387