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

## 3aSA7. A spectral description for the effects of multiple point masses in
fluid-loaded plates.

**Kenneth A. Cunefare
Jerry H. Ginsberg
John Babish
**

**
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*The George W. Woodruff School of Mech. Eng., Georgia Inst. of Technol.,
Atlanta, GA 30332-0405
*

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The wave-number-based formulation of the surface variational principle
describes the surface pressure and displacement as a comparatively small set of
interacting waves. It enables one to pose questions of parametric sensitivity
from a global perspective. A two-dimensional problem of an elastic plate in an
infinite baffle with pinned boundary conditions is considered. A series of line
masses attached to the plate, at regular and irregular spacings is considered.
The specific mass distribution is replaced in the SVP formulation by an
arbitrary continuous distribution along the length of the plate. The functional
form of this distribution is described using a spectral Fourier series, whose
ascending orders represent successive stages in refinement of the scale to
which a model describes inertial effects. The excitation applied to the plate
is taken as a concentrated harmonic force. With the excitation held fixed, the
influence of each spectral component of inertial distribution on the surface
response and radiated power are assessed. Evaluations carried out for a range
of frequencies shed light on how small scale inertial heterogeneities can
influence macroscopic radiation features.