Nonlinear coupled longitudinal–transverse vibration analysis of a beam subjected to a moving mass traveling with variable speed

Abstract

In this paper, transverse and coupled longitudinal–transverse vibration of a beam subjected to a moving mass traveling with variable speed is considered. The speed change can be due to either an external force (traction or braking force) or the sliding friction force created immediately after the braking. The equation of motions for both cases was extracted and discretized using Galerkin decomposition method. The dynamic response of the beam and the moving mass was calculated and compared for different loading scenario. Next, coupled longitudinal–transverse vibration of a beam under the friction force was studied and the effect of friction coefficient on the dynamic response of the system was evaluated. A comparison between transverse and coupled longitudinal–transverse vibration of the beam subjected to a moving mass was also made.