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研究生:徐培譽
論文名稱:移動負載下軌道動態反應的研究
論文名稱(外文):Dynamic Response of Rail to Moving Load
指導教授:孔慶華孔慶華引用關係洪振發洪振發引用關係
學位類別:碩士
校院名稱:國立臺灣大學
系所名稱:造船及海洋工程學研究所
學門:工程學門
學類:機械工程學類
論文種類:學術論文
論文出版年:1997
畢業學年度:85
語文別:中文
論文頁數:58
中文關鍵詞:軌道動態反應
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本文旨在探討高速鐵路直線路段的軌道結構中,當列車以等速度通過時軌道的動態反應。內容大致分成兩個部份;即分別假設鋼軌為黏彈性基礎上的無限長梁和有限長梁,承受等速移動集中荷重,藉以模擬列車行駛於軌道上時所遭遇的情形。
當鋼軌被假設成無窮長梁的時候,引入隨荷重移動的參考座標系統,把荷重作用的位置當作座標的原點,如此一來就可以略去隨時間而變化的項次,簡化計算的內容。我們考慮的力量有兩種形式,第一種大小固定,以模擬列車輪軸的重量,另一種力的大小會隨著時間有週期性的改變,代表軌道會隨著地形而高低起伏,以及軌道面粗糙度和軌距不一定相同等等因素造成的影響,分別計算這兩種荷重對軌道所造成的影響,再將得到的結果作線性疊加,以得到假設鋼軌為無窮長梁時完整的動態反應。
高速鐵路在特殊目的下,會採用不連續軌道。有的時候地面路段和高架路段或橋樑的交接處,左右兩邊軌道結構並不一致,因此不能假設鋼軌為無窮長梁,因此本文的第二部份是在固定座標系統下,計算等速移動集中荷重對有限長梁之端點造成的衝擊效應。首先藉由Laplace轉換求控制方程式的解析解,而後再用Rayleigh-Ritz法重做一次以驗證和比較結果的正確性。
本文中計算得到的反應方程式,最後引用法國高鐵系統的資料為計算例,以確定其適用的範圍,並可以提供給交通部高速鐵路籌備處作為未來規畫和施工的參考。

The main focus of this article is to discuss the reaction of the straight section of the structure of the highspeed railway tracks as the trains pass by with the same speed. The contents roughly split into two categories to model the situations where the trains run on the tracks. One section we have a model with an infinite beam, and another section we have a finite beam. We hypothesize that the tracks are either infinite or finite beams of the viscous elastic foundation. The tracks bear the concentrated load of the same speed movements to model the reaction of the tracks as the train passes by.
When we hypothesize the tracks as an infinite beam, we can use coordinator system moving according to the load as its origin to eliminate the time variable and simplify the calculation. In this part, the boundary condition is as below:
We consider two types of ferce: the first type is constant, used to model the weight of the axle of the train; the second type is variable, varies periodically. The second type represents the movement of tracks on the changing height of the ground surface being effected by roughness, difference of the distance between the tracks, etc. We calculate the effect of the two types of ferce acting on the tracks, and plot the results on the graph as two curves together. Thus, we can see the complete picture of the reaction the hypothesized tracks as an infinite beam.
The traditional method of making tracks is leaving a small gape between the tracks. Highspeed track sometimes utilizes this traditional method that causes the condition of the ground or bridge of the connecting section to not be exactly equal on both sides. Thus, we cannot always hypothesize the tracks to be an infinite beam, instead of a finite one. Therefore, the second section of our discussion will be under the condition of a fixed coordinator system and calculate the fixed speed movement's effect on the finite beam. Firsts, I used Laplace transform to calculate the analysis of the control function, then use Rayleigh-Ritz method to prove the correctness of the result.
Lastly, we use the information of the French Highspeed Train System to calculate, compare, and finalize the calculation of my discussion to make sure the range of its suitability. Also these response equations may provide sample data to the Division of Planning of the National Transportation Department as a reference of the future construction and planning.

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