中文摘要：

采用简谐波形式的人工地震激励和瞬态波函数法,推导出了双跨连续梁桥在竖向地震激励下可能出现的多次弹性重撞击问题的理论解,采用组合体瞬态内力法,给出了多次重撞击力的求解方法。研究结果表明：该文方法可以合理模拟竖向地震作用下的桥面与桥墩间的多次重撞击现象,精确地求解复杂的多次重撞击力响应,模拟地震波和撞击瞬态波在结构内的传播过程,并可观察其中的＂次撞击过程＂。

英文摘要：

Using the artificial earthquake ground motion in the form of a sinusoidal excitation, the theoretical solution of multiple elastic poundings between girder and pier of a single-pier and two-span bridge model under vertical earthquakes is derived from the expansion of transient wave functions in a series of eigenfunctions. The calculation method of multiple pounding forces is presented based on the transient internal force of the contact surface of the combined impact body. The numerical results show that the presented method can simulate reasonably the multiple-pounding phenomenon between girder and pier under vertical earthquakes. The multiple pounding force responses can be calculated in high precise. The propagations of earthquake wave and the pounding-induced transient waves throughout girder and pier can be depicted. The sub-pounding process can be observed from the numerical simulations as well.