### ASA 128th Meeting - Austin, Texas - 1994 Nov 28 .. Dec 02

## 2aSA4. Acoustic scattering from a fluid-loaded elastic plate with a
distributed mass inhomogeneity.

**J. M. Cuschieri
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*Ctr. for Acoust. and Vib., Dept. of Ocean Eng., Florida Atlantic Univ.,
Boca Raton, FL 33431
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**D. Feit
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*David Taylor Research Center, Bethesda, MD 20084
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The scattering of a plane acoustic wave by a fluid-loaded, thin, elastic
plate, of infinite extent, with a distributed inhomogeneity is investigated by
solving the equation of motion in the wave-number domain using the hybrid
numerical analytical approach [J. Acoust. Soc. Am. 95, 1998--2005 (1994)]. The
presence of the distributed inhomogeneity in the equation of motion, when
expressed in the wave-number domain, results in a Fredholm integral equation of
the third kind. By substituting for the product of the response and the plate
characteristic equation, the Fredholm integral of the third kind is reduced to
a Fredholm integral of the second kind. The plate response in the wave-number
domain is obtained from the solution of the Fredholm integral. Inverse Fourier
transforming the wave-number domain response function gives the spatial domain
solution for the response. The hybrid approach is used to perform the inverse
Fourier transform. The scattered pressure is obtained in a similar manner.
Response and scattered pressure results for distributed mass inhomogeneities,
with different distribution functions, are presented and compared to the
results for a line inhomogeneity. [Work sponsored by ONR.]