Transverse Vibration of a Simply Supported Beam Under a High Speed Moving Mass

Transverse vibration of gun tube or missile launcher is one of important factors causing its firing accuracy. At present, many analyses have introduced extreme approximation in modeling the physical problem of moving loads or masses. It isn't appropriate for modem mechanical equipment dynamic computational. As a consequence, more precise mode which reflects the actual structure vibration is required for the simulation of physical systems. This research aims at a simply supported beam under a high speed moving mass. By using modal theory and iterative computational method, a closed-form solution for the dynamic response of simply supported under a moving mass is successfully derived. Based the derived solution, a numerical example is given in this paper and a variety of numerical results are analyzed and discussed in detail. The individual and coupling effect of velocity and mass on the dynamic response of simply supported beam is investigated in detail. Numerical results show that the velocity of moving mass has a great effect on the mode of vibration. And centrifugal inertia force has also a great effect on its amplitude of the dynamic displacement response of the simply supported beam's transverse vibration when the moving mass excites it with a certain speed range.