### ASA 127th Meeting M.I.T. 1994 June 6-10

## 5aSA5. Selection of a shell model for a cylindrical shell immersed in
fluid.

**Martin G. Manley
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*Aerosp. and Mech. Eng. Dept., Boston Univ., 110 Cummington St., Boston, MA
02215
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There are many thin shell models available to the investigator studying
the vibrations of thin-walled, circular, cylindrical shells. A rational method
for selecting a model for any given problem is needed. An asymptotically exact
dispersion relation for waves on fluid-loaded, elastic, hollow cylinders
derived from the exact equations of elasticity previously [M. Manley, J.
Acoust. Soc. Am. 93, 2335(A) (1993)] is applied to determine dominant terms for
dispersion of axial waves. This is compared with dispersion relations obtained
from shell models. The simplest shell model retaining the dominant terms in the
dispersion relation is recommended. Some examples are presented. [The author
acknowledges the advice of A. D. Pierce.]