本文旨在以解析的方式來研究水平曲橋受高速列車作用下之垂直衝擊反應分析,文中將以一序列等間距的移動荷重來模擬高速列車通過橋梁的作用力,而曲橋則設定為水平簡支橋,且直以歐拉(Euler)梁理論模擬之。基於上述考量,可對水平簡支曲梁受到等速列車載重下的衝擊反應做一理論探討。從解析結果顯示,曲橋於高速列車作用
下之衝擊反應將會發生「共振」與「相消」的現象。所謂「共振」是指曲橋於高速列車通過時,其衝擊反應將隨通過車輛數的增加而放大:至於「相消」則是指在某種車速狀況下,橋梁的衝擊反應將不會因通過車輛數的增加而有加成現象。本文之解析結果將可作為水平曲橋於高速列車作用下之衝擊反應的設計參考,文中將輔以實例計算
來說明本研究所得結果之合理性。 This paper is aimed at the investigation cif the vibration of horizontally curved bridges subjected to high speed trains. In this study, a curved bridge is modeled as a horizontal beam
with smiple ends, and a train is a sequence of moving loads with constant intervals. An analytical solution for the vertical dynamic response of the curved beam due to moving loads
has oeen presented in closed form. Based on this solution, the conditions of resonance and cancellation for the impact response of curved bridges due to high speed trains are identified.
Relation:
中華民國第四屆結構工程研討會論文集(二)=Proceedings of the 4th National Conference on Structural Engineering,頁801-808