The effective boundary conditions for a perforated elastic sandwich panel in a compressible fluid

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Abstract

The transmission of sound through a sandwich panel, consisting of a honeycomb cellular structure bounded by two thin elastic plates, is considerably reduced at a certain frequency if one (or both) of the plates is perforated so as to link a significant number of the cells to the exterior fluid. This effect occurs at or near the Helmholtz resonance frequency for the cells, with the acoustic wavelength large compared with the cell dimensions. An analysis is given for the problem of plane waves incident upon a plane sandwich plate of infinite extent, using matched expansions, for the cases of acoustically hard or acoustically transparent cell walls. The compound panel is shown to be acoustically equivalent to that of a hypothetical surface with different normal velocities on either side and effective boundary conditions are derived, with generalizations to deal with more complicated structures, finite plates and more general incident fields.

Publisher

The Royal Society

Subject

Pharmacology (medical)

Reference7 articles.

1. Dowling A. P. & Ffowcs Williams J. E. 1983 Sound and sources of sound. Chichester: Ellis Horwood.

2. Fahy F. 1987 Sound and structural vibration. London: Academic Press.

3. The acoustics of turbulence near sound-absorbent liners

4. Reflexion and transmission at a plane screen with periodically arranged circular or elliptical apertures

5. Rayleigh Lord 1894 The theory of sound. London: Macmillan. (Reprinted by Dover Publications New York 1945.)

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