Abstract
A generalization of the Biot problem [1] of the propagation of elastic waves along a cylindrical cavity with a free boundary is considered. It is assumed that there is a layer on the boundary described by boundary conditions of two kinds: (1) a Winkler-type foundation, and (2) a layer with inertial resistance. It is found that in the limiting case of a cavity of infinitely large radius or a frequency that increases without limit, the frequency equation is of the same accuracy as that for a half-space obtained in [2].
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