高架橋樑系統成為高速鐵路土建結構的主要選擇，因此，近年來探討列車行經橋樑時造成動力的行為是個相當重要的題材。一般來說，地震力作用之下適當阻尼比的支承墊可以明顯的減少橋樑的振動，然而，在微震的情況之下是否也會一樣。另外，對於使用樑元素分析橋樑振動，並探討樑元素與三維元素結果比較的差異性。
本文的主要目的是以有限元素法探討以上所提到的兩個問題。首先，探討當高速列車經過時不同的支承墊阻尼比下的振動位移，結果指出在不同支承墊阻尼比的情況下並不會非常明顯。接著，探討三維樑元素與支承墊情況下的差異，比較結果指出軌道的勁度與支承墊上的摩擦力應該大致上與樑元素模型相同。假使忽略了這兩個影響，兩
者的差異就會非常的大。因此，對於樑元素來說，兩簡支樑之間的勁度假設與支承墊是非常重要的。

The viaduct system has become the main choice for high-speed railways. Thus, investigating the dynamic behavior of bridges caused by the passing vehicles or trains has been an important subject of research recently. Usually, bearing plates with a suitable damping ratio can considerably reduce bridge vibration due to seismic loading. However, it should be a question that the above condition is still valid for micro vibration. To analyze bridge vibration, people usually use beam element to model the bridge for simplification. This, therefore, causes another question what is the analysis difference between the simplified beam model and the precise three-dimensional solid model.
The main purpose of this thesis is to investigate the above two questions using the finite element method. First, the vibration displacement of the bridge for different damping ratios in the bearing plates is investigated during the high-speed train loading. The results indicate that the change of the damping ratio of the bearing plate is not obvious. Second, the bridge was analyzed using the beam model that simulates the bridge using three-dimensional beam elements. The analysis difference between the beam models and three-dimensional solid models was discussed. The comparison indicates that the stiffness of the rail and the friction on the bearing plate should be appropriately modeled for the beam model. If one ignores the two effects that mean the model without rail stiffness and bearing plate friction, the difference can be considerably large for the two models. At this condition, the shear forceof the pier increases significantly in the bridge direction using the beam model. Thus, suitable assumptions between two simply supported beams and bearing plates are very important for the beam model.

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