鐵路吊橋於支承移位下之車橋互制非線性振動反應
學年 97
學期 1
出版(發表)日期 2009-01-01
作品名稱 鐵路吊橋於支承移位下之車橋互制非線性振動反應
作品名稱(其他語言) Nonlinear Vehicle-Bridge Interaction Dynamics of Rail Suspension Bridges under Support Movements
著者 姚忠達
單位 淡江大學建築學系
描述 計畫編號:NSC97-2221-E032-022-MY2 研究期間:200908~201007 研究經費:466,000
委託單位 行政院國家科學委員會
摘要 近年來,隨著陸路交通網路日趨活絡,具有高速度、高承載的高鐵系統已是 一個國家走向現代化的基本建設。與此同時,跨越大河,甚至穿越海峽的吊橋, 也不斷地被引進到鐵路系統內,如香港的青馬吊橋。由於一般吊橋的跨度(在 百米以上)均遠大於常見的簡支或連續型鐵路橋,且其低階振頻也大都位在低 頻範圍。因此,鐵路吊橋因列車行駛而被激起的共振反應,勢必也更容易發生。 加上台灣位處在太平洋強烈地震帶的特殊地理環境,而吊橋之橋塔量體極大, 橋塔基礎有可能在長期負荷下或地震過後,產生永久不均勻支承沈陷的問題。 故對於具有百米以上的大跨度鐵路吊橋受行車、沈陷、地震等外在因素的影響, 其所造成的車橋互制非線性振動反應,便是本研究所要探討的主題。其中尤以 當列車以不同車速通過吊橋時,恰逢地震來襲或是橋基已有顯著沈陷的情況, 那麼此時的前進列車應是快速通過吊橋、或保持原速甚至於降速,以減少車體 振動,均有待進一步探討;另一方面,藉由調整吊橋的懸垂度(cable sag)來達 到降低吊橋與列車之間的互制振動反應,也是值得深入研究的課題,惟其主控 參數如何決定,即需透過解析的手段來處理。 本計畫之執行期限設定為兩年,各年之研究計畫重點分別簡述為: 第一年:具沈陷之鐵路吊橋受車行的車橋非線性互制動力反應 吊橋於支承沈陷的豎向振動理論、架構「增量迭代」計算法的車橋互制非線 性動力流程。 第二年:車行下吊橋受地震作用之車橋非線性互制動力反應 時變邊界條件問題之解析、多支承運動對吊橋受車行之影響、吊索懸垂度的 減振成效。 Due to the rapid advances in construction materials and technologies, modern suspension bridges can provide span length that is long enough for crossing rivers, valleys, and straits for the transportation of vehicles. The suspended bridges are subjected to dead and moving loads, seismic motions of supports, non-uniform settlements and many other forces. Among many problems of suspended bridges, it has remained the vehicle-bridge interaction dynamics for suspended bridges together with the permanent support settlements or the support motions of bridge foundations due to earthquake has not yet been investigated in a sufficient way. This entire project is proposed to extend a period of two years. In the first year, the main efforts will be focused on the theoretical formulation of suspension bridge and the computation method for solving the nonlinear vehicle-bridge interaction dynamics of a suspended beam under support settlements. Based on the theoretical frame and computation methodology developed in the first year, the main research work in the second year is to investigate the effect of multiple support motions due to earthquakes will be taken into account on the vibration of the suspension bridge under the action of moving loads. Meanwhile, the quasi-static decomposition method for extracting the quasi-static response of the suspended beam subject to multiple support motions is employed in this study. Moreover, this research intends to study the amplification effect of phase difference of multiple support motions on the dynamic response of the suspended beam.
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