Vildanova S. Dynamic problem of the theory of elasticity for the non-uniform foundations.

The method of functions of a pliability is generalised on stationary problems of the theory of elasticity about the established movement of loading on a surface of the multilayered basis with homogeneous and non-homogeneous layers on depth. The technique of definition of critical speeds of movement of loading at which excess the established process of deformation of the multilayered basis is not realized is developed. About distribution of own waves to the multilayered basis problems are solved with homogeneous and non-homogeneous layers, the technique of definition of speeds of own waves is developed. The resonant phenomena which arise at loading movement on a basis surface, speak the fact of coincidence of speeds of movement of loading from one of speeds of distribution of own waves. Influence of heterogeneity on values of critical speeds of movement of loading, speeds of distribution of own waves and the is intense-deformed condition of the multilayered basis is investigated.