SPATIAL PROBLEM OF INTERACTION P (LONGITUDINAL) - WAVES ON A CYLINDRICAL CAVITY IN AN ELASTIC MEDIUM

The spatial problem of diffraction of elastic waves, the angle of incidence relative to the longitudinal axis of the cavity, is considered. The aim of the study is the diffraction of elastic harmonic waves in a cavity depending on the angle of incidence. An analytical solution of the problem of diffraction of elastic waves in a cavity is obtained, which makes it possible to determine the force factors of the stress-strain state of the cavity from the angle of incidence. The environment is described by the Helmholtz equation and the solution of which is described by the Bessel and Neumann functions with complex arguments. The stress and permeability of the cavity point take on a maximum value in the region of long waves. A technique and algorithm for solving the spatial problem of diffraction of hormone waves in a cavity has been developed