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Vibrations of a Circular Cylinder in Oblique Incidence Revisited

  • J. Servant
  • S. Guenneau
  • A. B. Movchan
  • C. Poulton
Conference paper
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 113)

Abstract

In this paper, we analyse the propagation of elastodynamic waves in a circular cylinder in the case of oblique incidence. We use a scattering matrix approach and derive an algebraic linear system which allows us to get a complete picture of the dispersion curves. This derivation is of the foremost importance, since it provides the right form for the algebraic system associated to a singular cylinder, basis of its generalisation to a doubly periodic array of circular cylinders.

Keywords

Spectral analysis elastic scattering acoustic waveguides 

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References

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Copyright information

© Kluwer Academic Publishers 2003

Authors and Affiliations

  • J. Servant
    • 1
  • S. Guenneau
    • 2
    • 4
  • A. B. Movchan
    • 2
  • C. Poulton
    • 3
  1. 1.Ecole Supéerieure de Méecanique de MarseilleIMTMarseille Cedex 20France
  2. 2.Department of Mathematical SciencesUniversity of LiverpoolLiverpoolUK
  3. 3.High Frequency and Quantum Electronics LaboratoryUniversity of KalrsruheKarlsruheGermany
  4. 4.Condensed Matter Theory Group, Blackett LaboratoryImperial CollegeLondonUK

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