Archives of Acoustics, 36, 1, pp. 121–139, 2011

Acoustic Pressure Radiated by a Circular Membrane Into the Quarter-Space

Wojciech P. RDZANEK
University of Rzeszów Department of Acoustics, Institute of Physics

Krzysztof SZEMELA
University of Rzeszów Department of Acoustics, Institute of Physics

Dawid PIECZONKA
Stylem

The Neumann boundary value problem for the Helmholtz equation within the
quarter-space has been considered in this paper. The Green function has been used
to find the acoustic pressure amplitude as the approximation valid within the Fraunhoffer’s
zone for some time-harmonic steady state processes. The low fluid loading
has been assumed and the acoustic attenuation has been neglected. It has also been
assumed that the vibration velocity of the acoustic particles is small as compared
with the sound velocity in the gaseous medium.
Keywords: acoustic pressure; Fraunhoffer’s zone; Green function; circular membrane
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