Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)

For citation:

Kossovich E. L. Explicit Models for Flexural Edge Waves in Thin Orthotropic Plates. Izv. Sarat. Univ. Math. Mech. Inform., 2013, vol. 13, iss. 1, pp. 64-69. DOI: 10.18500/1816-9791-2013-13-1-1-64-69

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
Full text:
(downloads: 51)

Explicit Models for Flexural Edge Waves in Thin Orthotropic Plates

Kossovich Elena Leonidovna, Saratov State University

Analysis of flexural edge wave propagation in thin plates is presented. Several problems of semi-infinite plates vibrations are solved. These plates are assumed to be orthotropic. Some basic features of flexural edge wave propagation are found using the constructed explicit parabolic-ellipticmodels. They extract the localized wave contribution into the overall solution.

  1. Коненков Ю. К. Об изгибной волне «рэлеевского» типа // Акустический журнал. 1960. Т. 6, вып. 1. С. 124–126.[Konenkov Yu. K. A Rayleigh-Type Flexural Wave // Soviet Phys. Acoustics. 1960. Vol. 6, iss. 1. P. 122–123.]
  2. Norris A. N. Flexural edge waves // J. of Sound and Vibration. 1994. Vol. 171. P. 571–573.
  3. Thompson I., Abrahams I. D., Norris A. N. On the existence of flexural edge waves on thin orthotropic plates // J. Acoust. Soc. America. 2002. Vol. 112. P. 1756–1765.
  4. Zakharov D. D., Becker W. Rayleigh type bending waves in anisotropic media // J. Sound and Vibration. 2003. Vol. 261. P. 805–818.