A new Technique for Investigating the Dynamic Response of a Beam Subjected to a Load-Moaving System

The dynamic response of a homogeneous elastic simply-supported beam subjected to a load system moving with a uniform velocity is studied in detail in this paper. Analytical expressions for the dynamic responses of the beam and the load-moving system are obtained by means of a new technique using decomposition method whereby the generalized displacement of the beam is written as an infinite series. The method is versatile and simple so that its application to other related problems is possible. Comparisons between different cases of load-moving systems are made clear. Interaction, load, mass, velocity effects on the beam as well as on the load-moving system are investigated. It is concluded that the inertia effect of the load-moving system cannot be neglected when the traveling velocity and its mass ratio to that of the beam are large.