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Title:Elastic waves in cylindrical waveguides of arbitrary cross section
Author(s):Damljanovic, Vesna; Weaver, Richard L.
Subject(s):acoustics
chaos
experimental solid mechanics
nonlinear waves
Abstract:We consider wave propagation in slender elastic waveguides. With aim at finding all vibration modes of such bodies, we develop a theoretical framework for application of energy principles and subsequent discretization of the problem using the finite-element method. We obtain a discrete set of solutions for propagating and evanescent branches and we examine the solution behavior in some detail. Finally, we compare the results with the analytic solutions of Pochhammer-Chree equations and conduct an accuracy and convergence study, determining the combination of mesh parameters and frequency regimes for which our code yields accurate results.
Issue Date:2001-05
Publisher:Department of Theoretical and Applied Mechanics (UIUC)
Series/Report:TAM Reports 969
Genre:Technical Report
Article
Type:Text
Language:English
URI:http://hdl.handle.net/2142/253
ISSN:0073-5264
Publication Status:published or submitted for publication
Peer Reviewed:is peer reviewed
Date Available in IDEALS:2007-03-08
Is Version Of:Published as: Vesna Damljanovic and Richard L. Weaver. Propagating and evanescent elastic waves in cylindrical waveguides of arbitrary cross section. Journal of the Acoustical Society of America, v 115, n 4, April, 2004, p 1572-1581. DOI: 10.1121/1.1687424. Copyright 2004 Acoustical Society of America


This item appears in the following Collection(s)

  • Technical Reports - Theoretical and Applied Mechanics (TAM)
    TAM technical reports include manuscripts intended for publication, theses judged to have general interest, notes prepared for short courses, symposia compiled from outstanding undergraduate projects, and reports prepared for research-sponsoring agencies.

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