Dynamic Response of an Euler-Bernoulli Beam Coupled with a Tuned Mass Damper under Moving Load Excitation

Abstract

In this study, dynamic analysis of Euler-Bernoulli beam and Tuned Mass Damper (TMD) interaction problem under the effect of moving load was carried out by the mode superposition method. After the differential equations of TMD are derived by Lagrange method, beams and TMD motion equations are integrated and matrices belonging to the motion equation of the whole system are obtained. The motion equation of the system is solved in the time domain using the Newmark-β algorithm. The effect of TMD on damping vibrations has been examined in terms of parameters such as frequency, damping rate, mass ratio and moving load speed. In addition, the effect of TMD on Dynamic Amplification Factor (DAF) was examined. As a result, with the TMD application carried out in this study, approximately 14% to 24% improvement was achieved in beam deformations and accelerations.