### ASA 124th Meeting New Orleans 1992 October

## 3pSA5. Elastohydrodynamic waves associated with a thick elastic cylinder
immersed in fluid.

**Martin G. Manley
**

**
**
*Graduate Program in Acoust., Penn State Univ., P.O. Box 30, University
Park, PA 16804
*

*
*
The behavior of guided flexural waves of an infinite, elastic,
thick-walled circular cylinder immersed in fluid is considered in the
low-frequency limit. The fluid is of lower density than the solid. The
dependence of field quantities on (phi), t, and x is of the form e[sup
in(phi)]e[sup -i(omega)t]e[sup ikx], where n is the circumferential wave
number, (omega) is the frequency of vibration, k is the wave number in the
axial direction, (phi) is the circumferential coordinate, t is time, and x is
the coordinate in the direction of the cylinder axis. Solutions for the exact
dispersion relation based on the full elastodynamic equations will be
presented. Appropriate approximations will be shown for a simplified
representation of the dispersion relation of the lowest-order flexural wave. It
will be shown that standard shell theory results correspond to different limits
of the exact result. [Work supported by the PSU Applied Research Laboratory
Exploratory and Foundational Research Program. The author acknowledges the
advice of A. D. Pierce.]