VIBRATIONS OF STEEL PIPES AND FLEXIBLE HOSES INDUCED BY PERIODICALLY VARIABLE FLUID FLOW

Abstract

This paper is concerned with the analysis of a model describing thevibrations of simply supported straight pipes conveying periodicallypulsating fluid. The vibrations of the hydraulic system are describedby a fourth-order partial differential equation, with the inclusionof geometrical non-linearities. Through the application of the Galerkinmethod, the non-linear problem is reduced to the solution of fourordinary differential equations. The influence of several significantparameters of the model on the rms value of velocity is investigated.The possibility of exciting sub-harmonic and chaotic excitationsat certain intervals of excitation frequency and flow velocity ispresented.