VIBRATION THEORY OF CONTINUOUS BEAM UNDER THE ACTION OF MOVING LOAD

This paper uses the small paramter method to investigate the dynamic calculation ofthe whole vibration process of trains passing through a continuous beam,considering theeffects of the mass and the damping as well as the masses of the moving loads.By solving aset of integral equation,we find out the general solution of continuous beam under theaction of arbitrary moving load PF(t) and calculate,the case of single moving load beingQ+Psin(αt+ε). By concluding our results,We establish the dynamic theory ofvibration of continuous beam acted by the moving load.Finally, as an example, we calculate the vibration question of two-span continuousbeam.The deflections of two midspan are shown in Fig.2 and Fig.3.