Transition radiation in two-dimensional elastic systems

The present article deals with the transition radiation of elastic waves in a semiinfinite plate lying on an elastic base. It is assumed that a point mass in a gravity field, moving uniformly and lienarly along the plate, is the source of excitation. The spectral-angular density of radiation energy has been found. It is shown that the radiation reaction, whose value and direction nonmonotonically depend on time, acts on a mass. The transverse acceleration of the mass in the process of radiation has been analyzed. The range of parameters of a system at which the body departs off the plate is determined