Cite this article as:

Ardazishvili R. V., Wilde M. V., Kossovich L. Y. Edge Waves in Plates with Fixed Faces and Various Boundary Conditions on the Front Edge. Izv. Saratov Univ. (N. S.), Ser. Math. Mech. Inform., 2015, vol. 15, iss. 2, pp. 187-192. DOI: https://doi.org/10.18500/1816-9791-2015-15-2-187-193

Language: 
Russian
Heading: 
Mechanics
UDC: 
539.3

Edge Waves in Plates with Fixed Faces and Various Boundary Conditions on the Front Edge

Authors: 
Ardazishvili Roman Vyacheslavovich, Saratov State University, Russia, Saratov, Astrakhanskaya 83 , ardazishvili.roman@yandex.ru
Wilde Maria Vladimirovna, Saratov State University 1, Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83 , mv_wilde@mail.ru
Kossovich Leonid Yurevich, Saratov State University 1, Saratov State University, Russia, 410012, Saratov, Astrahanskaya st., 83 , president@sgu.ru, nano-bio@sgu.ru
Abstract: 

This paper is concerned with the propagation of surface waves in plates subject to free or mixed boundary conditions on the front edge. Symmetric and antisymmetric waves in plates with fixed faces are considered. Asymptotic analysis is performed, which shows that there is an infinite spectrum of higher order edge waves in plates. Asymptotics of phase velocity are obtained for large values of wave number. It is demonstrated that in the short-wave limit the phase velocity of all higher order edge waves tends to the velocity of Rayleigh wave or shear wave, depending on the boundary conditions on the front edge.

Key words: 
surface waves, edge waves, Rayleigh wave, shear wave, asymptotic methods
DOI: 
https://doi.org/10.18500/1816-9791-2015-15-2-187-193
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