On wave excitation by a vibrating stamp in a medium with inhomogeneous initial stresses (Q795610)

One possible means for studying the features of excitation of an inhomogeneous medium with inhomogeneous initial stresses by an oscillating stamp is proposed. The approach being developed to study inhomogeneous prestresses media is realized in the solution of the problem of an oscillating stamp on a layer surface and the problem of the vibration of a stiff belt on the surface of an infinite circular cylinder. Integral equations are derived to whose study the solution of both problems reduces, and the properties of the kernels are investigated. The single-valued solvability of the integral equations in a certain class of functions is shown.