The HARMONIC RESPONSE OF EULER-BERNOULLI BEAM SUBJECTED TO MOVING FORCE

Abstract

This paper investigates the dynamic response of Euler-Bernoulli Beam subjected to Harmonic moving force. The governing partial differential equation of order four was reduced to a second order ordinary differential equation by normalizing the governing equation. The reduced second order equation was solved using finite difference method. The deflection for various parameters of the beam was considered for both damped and undamped beam. It was observed that there was an increase in the response amplitude of the beam as the constant speed of the beam, amplitude of the harmonic force increases but decreases as circular frequency of
the harmonic force increases. It was also found that the response amplitude of the undamped beam is greater than the response amplitude of the damped beam. Hence, the damping effect is of significant importance when considering the deflection of the beam subjected to harmonic moving force