To the study of the vibration in an acoustic medium with coating excited by a concentrated harmonic source

Abstract

Abstract When monitoring dangerous geodynamic processes, it is topical to study wave fields on the surface of geological structures and, since on the scale of the Earth’s structure, lithospheric plates can be considered as coatings of small thickness, a plate is accepted as the simplest model of an extended lithospheric one. The paper considers the problem of the plate oscillations on the surface of an acoustic layer, excited by the effect of a concentrated harmonic source located in an acoustic medium. The solution is built using an integral approach well developed for similar problems arising in geophysics, seismoacoustics and ecology. Integral representations of the amplitude values for the stress on the lower boundary of the coating and the surface displacements of the structure under consideration are obtained.