Vibrations of an Infinite Piece-homogeneous Two-layer Plate under the Influence of Normal Load

This article examines the effect of normal load on an infinite piecewise homogeneous two-layer plate when the materials of the upper and lower layers of the plate are elastic. The transverse displacement of the points of the contact plane of a two-layer plate is determined, satisfying the approximate equation obtained in [1], in the case of replacing viscoelastic operators with elastic Lyame coefficients, respectively. For a rectangular infinite two-layer piecewise homogeneous plate under non-zero initial conditions, the frequencies of natural oscillations are calculated and an analytical solution to this problem is constructed. The obtained theoretical results for solving dynamic problems of transverse oscillation of piecewise homogeneous two-layer plates of constant thickness, taking into account the elastic properties of their material, allow us to more accurately calculate the transverse displacement of the points of the contact plane of the plates under normal external loads.

fluctuation equations, two-layer plate, displacement, elastic, viscoelastic, edge conditions, initial conditions, operator, factors of Ljame, differential equation, integral of Fure, complex frequency