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International Journal of Fluid Mechanics Research
ESCI SJR: 0.22 SNIP: 0.446 CiteScore™: 0.5

ISSN Imprimir: 2152-5102
ISSN En Línea: 2152-5110

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International Journal of Fluid Mechanics Research

DOI: 10.1615/InterJFluidMechRes.v29.i2.90
13 pages

Modes of the Lamb's Type in the Generalized Pochhammer-Chree Problem

S. V. Novotny
Institute of Mechanics of the Lomonosov Moscow State University, Russia

SINOPSIS

Propagation of harmonic axisymmetrical waves in an infinite elastic cylinder is considered. Properties of the waves are studied for specific case of the inertial boundary conditions on the cylinder's surface, when the mechanical stresses on the surface are proportional to the accelerations. The dispersion properties of propagating and evanescent waves, which correspond to real and pure imaginary roots of the dispersion equations, are studied. Special attention is given to determining those frequencies, for which the phase velocity does not depend on the Poisson's ratio (the Lamb's modes). It is proved that there is only finite number of such modes for the case of inertially supported boundary, while in classical case of free cylinder's surface the infinite number of the Lamb's modes exist. The behaviour of the boundary problem solutions at change of the Poisson's ratio is studied.


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