Аннотация:The paper is devoted to the solution of the problem of vibrations of an infinite elastic plate lying on an elastic isotropic half-space using the analytical method based on the Maple software package. Unsteady oscillations are generated by the action of instantaneous loads on the plate, resulting in the appearance of two plane wave surfaces of strong discontinuity in the elastic half-space, behind the fronts of which, up to the contact boundary, the solution is constructed using ray series. The unknown functions entering in the coefficients of the ray series and in the equation of plate motion are determined from the boundary conditions of the contact interaction between the plate and the half-space. Previously, the approximate solution of this problem was obtained analytically without using mathematical packages, and the dynamic deflection of the plate involving only first three terms of the ray series was written down. It has been shown that the utilization of mathematical packages for the analytical solution of the problem under consideration makes it possible to obtain more accurate solution due to the increase of the number of the ray series terms.
