Abstract
It is shown that the displacement of the plate can be represented by a Green's formula, which involves the infinite fluid-loaded plate kernel. The boundary conditions lead to a system of two integral equations along the boundary of the plate: due to energy dissipation in the fluid, this system has always one and only one solution. A numerical approximation is obtained by a collocation method: the convergence is illustrated by a simple example.
This work has been supported by the "Direction des Recherches et Etudes Techniques (Délégation Générale de l'Armement)", convention no 82/302.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Bibliography
C.H. WILCOX, 1975, Scattering theory for the d'Alembert equation in exterior domains, Lecture Notes in Mathematics no 442, Springer-Verlag, Berlin-Heidelberg-New York.
L.M. BREKHOVSKIKH, 1960, Waves in layered media, New-York, Academic Press.
H. WEYL, 1919, Annales der Physic, Leipzig, 60, 481–500. Ausbreitung elektromagnetischer Weller über einen ebene Leiter.
P.J.T. FILIPPI, 1983, Journal of Sound and Vibration, (to appear). Sound radiation by baffled plates and related boundary integral equations.
N. BAKHVALOV, 1976, Méthodes numériques, Mir, Moscow.
W.L. WENDLAND, 1983, in Theoretical acoustics and numerical techniques, CISM courses and Lectures no 277, Springer-Verlag, Wien-New
P. GRISVARD, 1980, Boundary value problems in non-smooth domains, Lecture Note 19, University of Maryland, MD 20742.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1985 Springer-Verlag
About this paper
Cite this paper
Filippi, P.J.T. (1985). Boundary integral equations for sound radiation by a harmonically vibrating baffled plate. In: Grisvard, P., Wendland, W.L., Whiteman, J.R. (eds) Singularities and Constructive Methods for Their Treatment. Lecture Notes in Mathematics, vol 1121. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076266
Download citation
DOI: https://doi.org/10.1007/BFb0076266
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-15219-4
Online ISBN: 978-3-540-39377-1
eBook Packages: Springer Book Archive