Waves on Fluid-Loaded Inhomogeneous Elastic Shells of Arbitrary Shape

[+] Author and Article Information
A. D. Pierce

Department of Mechanical Engineering, 157 Hammond Building, Pennsylvania State University, University Park, PA 16802

J. Vib. Acoust 115(4), 384-390 (Oct 01, 1993) (7 pages) doi:10.1115/1.2930361 History: Received August 01, 1992; Online June 17, 2008


A generalization of the Donnell model for a thin shell of arbitrary shape, and with position-dependent elastic and geometric properties, is used to formulate a wave theory for quasi-straight-crested waves of constant frequency propagating over the shell’s surface. The principal restriction on the theory is that the wavenumber components must be large compared with the two principal curvatures. A simple method for including fluid loading in the model yields a finite local specific radiation impedance even when the waves on the surface are moving with the fluid’s sound speed. The overall model is then used to derive a general dispersion relation which connects frequency and wavenumber components for the fundamental waves of the fluid-shell system.

Copyright © 1993 by The American Society of Mechanical Engineers
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