Guided Circumferential Waves in a Circular Annulus

[+] Author and Article Information
Guoli Liu, Jianmin Qu

The George W. Woodruff School of Mechanical Engineering, Georgia Institute of Technology, Atlanta, GA 30332-0405

J. Appl. Mech 65(2), 424-430 (Jun 01, 1998) (7 pages) doi:10.1115/1.2789071 History: Received November 19, 1996; Revised September 12, 1997; Online October 25, 2007


A two-dimensional circular annulus is considered in this paper as a waveguide. The guided steady-state time-harmonic waves propagating in the circumferential direction are studied. It is found that the guided circumferential waves are dispersive. The dispersion equation is derived analytically and numerical examples are presented for the frequency dispersion curves. The displacement profiles across the wall thickness of the annulus are also obtained for the first five propagating modes. In addition, the analogy between a flat plate and an annulus in the asymptotic limit of infinite radius of curvature is discussed to reveal some interesting wave phenomena intrinsic to curved waveguides.

Copyright © 1998 by The American Society of Mechanical Engineers
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