AXIALLY SYMMETRIC PERIODICAL WAVE PROCESSES IN A ROTATING ELASTIC HOLLOW CIRCULAR CYLINDER SURROUNDED BY AN ACOUSTIC MEDIUM

In this paper the spectral characteristics of a strain-stress state of an infinitely long elas-tic hollow circular cylinder with arbitrary thickness rotating about its axis of symmetry with time-dependent angular velocity is investigated. It is assumed that a cylinder is empty inside and surrounded by ideal (non-viscous) compressible fluid or gas. The exact solution of this problem is obtained using the Fourier transform with respect to time. Calculations are carried out for a case of the Armco iron tube immersed in water. The detailed analysis of temporal and spatial spectral characteristics of the elastic displacements and stresses, the material den-sity and the power flow density averaged in the period of vibrations in elastic cylinder, are presented