### ASA 126th Meeting Denver 1993 October 4-8

## 4pSA8. Response and radiated pressure Green's functions from a
fluid-loaded cylindrical shell.

**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 Res. Ctr., Bethesda, MD 20084
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The solution for the response and radiated pressure from a fluid-loaded,
infinite, cylindrical shell with a circumferential line load, is a classical
problem in structural acoustics. Although this represents a rather fundamental
problem, the solution for the Green's function typically involve a contour
integration for each spatial point of interest. An alternative approach has
been developed which solves for the Green's functions without the need to use a
contour integral, for every spatial location, and without the need to introduce
structural damping. The approach is a hybrid numerical/analytical solution,
where the numerical part is based on an inverse discrete Fourier transform
(IDFT) and the analytical part is the contribution of some of the poles in the
solution which have to be removed to eliminate the singularities from the
integrand of the IDFT. The singularities in the integrand are attributed to the
real and near real poles of the fluid-loaded cylindrical shell response in the
wave number domain. The location of the singularities is obtained using a
numerical search algorithm and therefore the developed solution can be used to
more complex geometries involving the fluid-loaded cylindrical shell. Results
will be presented which match well with results found in the literature. [Work
sponsored by ONR.]