The dynamic contact problem for a prestressed cylindrical tube filled with a fluid

The radial harmonic oscillations of a rigid bandage on the thin-walled elastic cylindrical tube filled with an ideal compressible fluid under a high static pressure are investigated. The problem is reduced to an integral equation, the kernel symbol of which is constructed in numerical form. The properties of the integral equation are investigated, a method of solving it is proposed, and the effect of the presence of the fluid and the initial stresses of the pipeline on the stress state in the contact area for dynamic actions are investigated. It is shown that when monitoring the initial stresses at high frequencies it is essential to take into account the presence of the fluid.