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

Aerosp. and Mech. Eng. Dept., Boston Univ., 110 Cummington St., Boston, MA 02215

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.]