Forced bending vibrations of a polymer pipe conveying an ideal fluid

The paper considers forced bending vibrations of a polymer pipe conveying an ideal fluid. The influence of the fluid flow on the forced vibrations of the polymer pipe under an external driving force is studied theoretically. Using the method of small perturbations, analytical dependences of the displacement field on the frequency, the fluid flow velocity, the point of force application, and the parameters of the pipe and the fluid are obtained. It is shown that the fluid flow has the greatest effect on the vibrations in the vicinity of the resonance of a higher vibration mode of the pipeline with fluid.