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The effective compliance of perforated screens

Published online by Cambridge University Press:  26 February 2010

F. G. Leppington
F. G. Leppington
Affiliation:
Department of Mathematics, Imperial College, London.
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Extract

An incident sound field is scattered by a semi-infinite rigid screen with periodically arranged slits or circular apertures and an approximate solution is sought when the slit (or aperture) width is small and the wavelength is large compared with the separation. An integral equation formulation is used to show that the scattering properties of the screens are equivalent to those of a homogeneous compliant plate. The effective compliance is estimated and is found to be essentially uniform over the plate, with corrections close to the edges.

Type
Research Article
Information
Mathematika , Volume 24 , Issue 2 , December 1977 , pp. 199 - 215
Copyright
Copyright © University College London 1977

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References

Williams, J. E. Ffowcs. 1972 “The acoustics of turbulence near sound-absorbent liners”, J. Fluid Mech., 51, 737.CrossRefGoogle Scholar
2.Lamb, H.. 1895 Hydrodynamics (Cambridge).CrossRefGoogle Scholar
3.Leppington, F. G. and Levine, H.. 1973 “Reflexion and transmission at a plane screen with periodically arranged circular or elliptical apertures”, J. Fluid Mech., 61, 109.CrossRefGoogle Scholar
4.Macdonald, H. M.. 1915. “A class of diffraction problems”, Proc. Lond. Math. Soc. (2), 14, 410.CrossRefGoogle Scholar
5.Sneddon, I. N.. 1966. Mixed boundary value problems in potential theory (Wiley).Google Scholar