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.]