Analysis of forced bending vibrations of straight pipe with flowing fluid

Abstract

The authors made a computational study of forced oscillations of a straight pipe with a flowing fluid under an external driving force using beam model. The phase shift of the oscillations of two points of the tube was obtained considering the noncentral application of the driving force and the asymmetry of the location of the sensors. The approach proposed was aimed at solving the problem of forced oscillations of a beam with a flowing fluid. It enables to use the beam modal shapes with a standing fluid found by the finite element method. The equation of transverse vibrations of a beam with a flowing fluid with an allowance for internal friction on the tube material was proposed. The allowance for friction on the tube material made it possible to solve the problem of forced resonance oscillations of a beam with a flowing fluid in a nonstationary formulation. The results obtained on the beam model were verified using a three-dimensional finite element model of a straight pipe with the flowing fluid. The results obtained can be used in prototyping Coriolis flowmeters.