Dynamic response of a beam supported with damper under moving load

Abstract

The response of a simply supported finite beam, which is subjected to viscous damping and carries a moving force by transforming singular moving force and singular damping force to distributed force field is investigated. This is done by transforming singular moving force and singular damping force to a continuously distributed force field by means of the property of Dirac delta distribution function. The uniform beam is simply supported,moving velocity V and moving load F are constants. The effect of moving loads on the damped beams was checked by Fourier sinus series approach. Some equations have been provided to satisfy the experiment. This method can be used in case of several damping and linear springs.