ANALYTICAL ESTIMATION OF FLOW INDUCED VIBRATION IN PIN-PIN SUPPORTED PIPLELINE AND ITS ASSESSMENT AS BASE EXCITATION SIGNAL FOR A POWER HARVESTER

This work estimates analytically, the vibration induced in a simply supported pipeline with fluid flow,and assesses the vibration for its adequacy as base excitation signal for power harvestingtransducer. The work is based on the model of the fourth order Partial and Ordinary DifferentialEquations without its Coriolis component. The Algorithms for the analytical solution of the FIVmodels are developed using the variable separation method, and lateral acceleration then simulatedusing MATLAB. The Fast Fourier Transforms of the obtained vibrations (acceleration) at differentpositions along the pipeline indicates that frequency and amplitude vary for different positions. Fora set of adopted pipeline parameters and at a fluid flow velocity of 2 m/s, the maximum frequency isobtained at the centre of the pipe with amplitude of 10.64 m/s2 at frequency of 41Hz. The values fallwithin the acceptable range of vibration that can be used for power harvesting applications.