计及行动载荷质量及惯性力影响的列车过桥动力理论

本文研究了列车过桥的整个过程的动力计算,计及桥梁的阻尼效应和行动载荷质量。用小参数法求出了在任意单个行动载荷(=PF(t),其中P为常量,F(t)为时间的任意函数)作用下的铁路桥梁动力方程的一般解,建立了完整的列车过桥动力理论,并具体计算了单个行动载荷为PF(f)=Q+Psin(αt+ε)的情况下的解,其中α为折合回频率,Q为常量,ε为相角。最后文中计算了著名的Newark Dyke桥的实例,并讨论了所得结果。     

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_i P_isin(α_it ε_i). 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.     

行动载荷作用下的连续梁的横向振动问题

本文在考虑行动载荷质量、惯性力及阻尼影响的情况下,研究了机车通过连续梁时横向振动问题的整个过程,并得出了在任意行动载荷PF(t)作用下的连续梁的动力方程的一般解.我们具体计算了单个行动载荷为P_i+Q_isin(a_it+ε_i)时的情形并建立了行动载荷作用下的连续梁横向振动问题的动力理论.最后,做为例子,我们求解了两跨梁的横向振动问题,跨中点的挠度如图2和图3所示.