S.V.Novotny Modes of the Lamb's type in the generalized Pochhammer-Chree problem |
Acoustic bulletin, Vol. 4 ¹ 1, (2001) |
| Propagation of the garmonic axisymmetrical waves in an infinite elastic cylinder is considered. Properties of the waves are studied for a specific case of the inertial boundary conditions on the cylinder surface, when the mechanical stresses on the surface are proportional to the accelerations. The dispersion properties of the propagating and the evanescent waves, which correspond to real and pure imaginary roots of the dispersion equations, are studied. The special attention is given to determination of those frequencies, for which the phase velocity does not depend on the Poisson's number (the Lamb's modes). It is proved that there is only finite number of such modes for the case of inertially supported boundary, when comparing with the classical case of the free cylinder surface where the infinite number of the Lamb's modes exist. The behaviour of the boundary problem solutions at change of the Poisson's number is studied. |
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KEY WORDS: the Lamb's mode, an isotropic elastic cylinder, Poisson's ratio, the mass loading of the surface |
| TEXT LANGUAGE: Russian |