Abstract
The free and forced vibrations of elastic three-layer beam on an elastic foundation under the dynamic action of the loads are considered. Reaction of foundation was described on the foundation of Pasternak’s model. To describe the kinematics of a package asymmetric in thickness, the hypotheses of a broken line are accepted: the Bernoulli hypotheses are valid in thin bearing layers; in a compressible in the thickness of the filler, Tymoshenko's hypothesis is fulfilled. The work of the filler in the tangential direction is taken into account. In a rigid compressible filler, the exact relations of the theory of elasticity with a linear approximation of the displacements of its points from the transverse coordinate are valid.Conditions for the continuity of displacements are used on the boundaries of the layers. Deformations are small. Analytical deciding a problem are received and their numeric analysis are conducted.
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