University of Illinois Urbana-Champaign

Elastic waves in cylindrical waveguides of arbitrary cross section

Damljanovic, Vesna; Weaver, Richard L.

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https://hdl.handle.net/2142/253

Description

Title
Elastic waves in cylindrical waveguides of arbitrary cross section
Author(s)
  • Damljanovic, Vesna
  • Weaver, Richard L.
Issue Date
2001-05
Keyword(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.
Publisher
Department of Theoretical and Applied Mechanics (UIUC)
Series/Report Name or Number
TAM Reports 969
ISSN
0073-5264
Type of Resource
text
Language
en
Permalink
http://hdl.handle.net/2142/253

Owning Collections

Technical Reports - Theoretical and Applied Mechanics (TAM) PRIMARY
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.