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Resonances of the Rayleigh waves in an elastic semi-infinite strip
Authors:M V Wilde  Yu D Kaplunov
Institution:(1) Chernyshevsky State University, ul. Astrakhanskaya 83, Saratov, 410026, Russia;(2) Institute of Problems of Mechanics, Russian Academy of Sciences, pr. Vernadskogo 101-1, Moscow, 117526, Russia
Abstract:Kirchhoff’s theory of plates is used to study forced harmonic vibrations of a semi-infinite strip when the latter is in the generalized stressed state or experiences flexural deformation. The forced vibrations are excited by a load applied to the strip end. Cross-boundary conditions are imposed on the strip’s sides, which allows one to obtain a closed solution. The presence of an infinite real frequency spectrum corresponding to the edge resonances is revealed. The relation of these resonances to the Rayleigh planar and flexural waves is established.
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