Abstract:The dynamic responses of axiallyloaded beams with elastic supports subject to transversal impact was investigated. The equilibrium condition at the impact point, the compression stiffness and rotational stiffness of supports were taken into account. Based on the theory of Timoshenko, the dynamic differential equation of the collision system was deduced. Sorts of dynamic responses in time domain were solved by applying integral transformation. The impact force, transversal displacement and moment of the beam with different supports were compared, which proves the influence of the elastic supports on dynamic responses. Finally, the effect of axiallyloaded with elastic supports on dynamic responses of beam was researched, and several useful conclusions were obtained.