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.]