Abstract
A solution is presented for the dynamic axisymmetric problem of elasticity theory for a hollow elastic circular cylinder which permits determination of both the displacements and the stresses at any point of the cylinder during symmetric loading of its side surface. The problem of the natural vibrations of a hollow elastic thickwalled cylinder has been considered in [1, 2]. A transcendental equation has been derived in [1] to obtain the natural frequencies in the case of the axisymmetric vibrations of the cylinder, and the propagation of elastic waves in a hollow circular cylinder has been investigated in [2] on the basis of the general elasticity equations. A numerical method for solving problems of such a class has been elucidated in [3].
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