Mathematical Modeling of Direct and Inverse Problems of Dynamics of Thick Elastic Layer.Part Ⅰ. Mathematical Modeling of the Field of Transverse Dynamic Displacements of Layer

摘要

There was solved the problem of constructing three-dimensional field of transverse dynamic displacements of a thick elastic layer loaded surface with normal and tangent dynamic efforts under discretely and continuously determined observations of its initial state. The number of such observations as well as the regions in which they are given are not regulated. The uniqueness conditions of the obtained solution and its mean square consistency with observations of a layer are determined.