Normal Waves in Anisotropic Cylinders of Sector Cross-Section

  • Storozhev Valeriy
  • Troyan Renata
  • Puzyrev Vladimir
Conference paper
Part of the IUTAM Bookseries book series (IUTAMBOOK, volume 26)

Abstract

The work is devoted to theoretical research of normal elastic and electroelastic waves in anisotropic cylindrical waveguides class C6v hexagonal systems of not typical geometry cross-section from piezoactive and nonpiezoactive materials. Waveguides of the circular sections with sector cuts of any sizes and waveguides of the concentric ring sections with sector cuts are considered. Possibilities of using section geometry for changing structure and properties of spectrum of traveling and edge stationary normal waves are investigated. The approach is based on exact analytical integration of the wave dynamics equations for linear elastic and electroelastic medium of hexagonal system with the generalized wave potentials introduction and reducing the considered problem to a spectrum boundary problem in the section of a waveguide. The potentials expressed through special cylindrical functions of different types with fractional indexes are used for satisfaction the edge conditions on boundary parts of section.

Keywords

Critical Frequency Normal Wave Circular Waveguide Cylindrical Waveguide Surface Rayleigh Wave 
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Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Storozhev Valeriy
    • 1
  • Troyan Renata
    • 1
  • Puzyrev Vladimir
    • 1
  1. 1.Mathematical DepartmentDonetsk National UniversityDonetskUkraine

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