高速列車行經連續橋之車橋反應分析

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陳明聖(Ming-Shen Chen ) 查詢紙本館藏

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土木工程研究所

論文名稱

高速列車行經連續橋之車橋反應分析

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摘要(中)

本文主要是以模態疊加法(mode superposition method)來分析車橋互制(vehicle—bridge interaction)的現象，在文中主要針對單跨橋和二、三跨連續橋來做分析;並建立列車模型，進而推導整理車橋互制方程式(vehicle-bridge interaction eq.)，其次引入一正弦函數;模擬橋樑軌道面凹凸，最後透過Runge-Kutta Method做數值分析，探討車橋之振動反應。
本文之優點:相較於有限元素法，本文所採之方法較具彈性與準確性;本文之缺點:只能分析定速問題。

摘要(英)

In this paper using mode superposition method to analyize the phenomena of vehicle-bridge interaction. Now that we discuss the vehicle-bridge interaction. At first we should make a dicision on the models of bridge and vehicle. There,we aim at single-span bridge , 2 and 3 multi-span bridge. Besides we induct a sine function in order to model the roughness of the orbits which are on the bridge. After reorganizing we will get vehicle-bridge eq. At last we can discuss the vibration between the vehicle and bridge through Runge-Kutta Method ;One of the neumerical methods.
Comparing to FEM the method chosen here is more flexibility and reliability. However，my program can analyze const velocity problem only.

關鍵字(中)

★ 凹凸模擬
★ 振動
★ 衝擊係數
★ 車橋互制

關鍵字(英)

★ vehicle-bridge interaction
★ vibration

論文目次

中文摘要……………………………………………………………………I
英文摘要……………………………………………………………………II　
誌　　謝……………………………………………………………………III　　
目　　錄……………………………………………………………………V　　
圖目錄………………………………………………………………………VII　　
表目錄………………………………………………………………………IX　　　　
中文摘要……………………………………………………………………I
英文摘要……………………………………………………………………II　
誌　　謝……………………………………………………………………III　　
目　　錄……………………………………………………………………V　　
圖目錄………………………………………………………………………VII　　
表目錄………………………………………………………………………IX　　　　
符號說明……………………………………………………………………XI　　
第一章序論
1-1 研究動機與目的…………………………………………………1
1-2 文獻回顧…………………………………………………………2
1-3 研究方法…………………………………………………………5
第二章理論介紹
2-1 簡介 ……………………………………………………………6
2-2 樑彎曲振動之運動方程式 ……………………………………6
2-3 振態函數之正交性 ……………………………………………8
2-4 振態疊加法 ………………………………………………… 10
2-5 均勻樑自由振動方程式之通解……………………………… 13
2-6 軌道面之數值模擬…………………………………………… 16
2-7 車輛載重型式………………………………………………… 17
2-8 Runge-Kutta法 …………………………………………… 18
第三章車橋方程式之建立
3-1 簡介…………………………………………………………… 19
3-2 建立車橋模型………………………………………………… 19
3-3 推導車橋互制運動方程式…………………………………… 20
3-4 推導橋樑-軌道面凹凸-車子三者間的互
制運動方程式……………………………………………………23
3-5 程式印證…………………………………………………………24
第四章實例分析
4-1 簡介………………………………………………………………26
4-2 同大小不同型式之活載重對橋樑之影響……………………26
4.2.1 移動載重對橋樑之影響……………………………27
4.2.2 懸浮載重對橋樑之影響………………27
4.2.3 比較 ………………………………… 274-3 旅客舒適度之探討
4.3.1 車速的影響 ………………………………………… 28
4.3.2 跨長的影響………………………………………… 29
4-4 連續跨橋中點之探討
4.4.1 車速的影響……………………………30
4.4.2 軌道面凹凸之影響……………………31　 4-5 衝擊係數之探討………………………………………… 31
第五章結論與展望
　 5-1 結論 …………………………………………………… 335-2 展望 ………………………………………………… 34
參考文獻……………………………………………………………………102

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指導教授

周健捷(Jain-Jay Jou)

審核日期

2001-7-11

推文