A coupled problem of hydroelasticity of a pipe of the ring cross-section, consisting of dynamic equations of aviscous incompressible liquid and the dynamic equations of internal and external elastic cylindrical shells of final length based on the hypotheses of Kirchhoff-Love, is formulated and solved with the corresponding boundary conditions of the vibration of a foundation to which the pipe is fastened. From the solution of this problem, parameters of the flow and elastic displacements of shells are determined. Their amplitude and phase frequency characteristics and resonance frequencies are obtained. The cases of simply supported and rigidly clamped at the ends shells are analyzed, as well as the effects of the type of fixing and the properties of a fluid on the resonance frequencies and amplitude frequency characteristics of the shells.
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