Guided circumferential waves in a circular annulus

Guoli Liu, Jianmin Qu

Research output: Contribution to journalArticlepeer-review

180 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)424-430
Number of pages7
JournalJournal of Applied Mechanics, Transactions ASME
Volume65
Issue number2
DOIs
StatePublished - Jun 1998

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