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研究生: 黃冠瑜
Huang, Kuan-Yu
論文名稱: 軌枕間距對軌道承載力之影響分析
Analysis of Sleeper Spacing on Railway Track Bearing Capacity
指導教授: 郭振銘
Kuo, Chen-Ming
學位類別: 碩士
Master
系所名稱: 工學院 - 土木工程學系
Department of Civil Engineering
論文出版年: 2024
畢業學年度: 112
語文別: 中文
論文頁數: 101
中文關鍵詞: 軌枕間距軌道模數彈性支承梁彈性解析解軌道力學分析
外文關鍵詞: Sleeper spacing, Track modulus, Beam on elastic foundation, Elastic analytical solution, Track mechanics analysis
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  • 在進行軌道設計時,時常為了達成特定的條件而去更動軌道構件的尺寸、勁度、間距等,其中軌枕間距的大小在設計時往往落在600mm左右,似乎沒有過多調整的空間也鮮少探討軌枕間距對軌道承載力的影響,參考我國規範中也並未發現對軌枕間距的適用性做詳細的說明,因此本研究鎖定使用60kg特甲級線直線段軌道配置,探討軌枕間距對軌道構件位移、應力的影響,並與各項檢核參數的容許值比對,試圖了解規範訂定的目的,並歸納出控制軌枕間距大小的關鍵檢核項目。
    本研究使用彈性支承梁模型、三維彈性解析解模型兩種模型進行分析,前者在取得支承勁度(軌道模數K)後可用於計算鋼軌位移、鋼軌底部彎曲應力、軌座處彎曲應力、軌枕中央彎曲應力、道碴正向應力、路基正向應力的大小,但由於模型過於簡化,無法反應軌枕間距對支承勁度的影響,因此導入三維彈性解析解模型,此模型考量真實軌道配置下各構件間的力學傳遞行為,並可藉由兩模型間的迭代求得不同軌枕間距下的軌道模數K值。
    研究結果顯示,使用較大的軌枕間距,會使軌道承載力下降,其中以鋼軌垂直位移、路基正向應力、軌道抗挫屈能力為控制軌枕間距大小的關鍵檢核項目,因此未來若欲檢核軌枕間距的影響,應優先考慮三者的影響。

    In rail design, dimensions, stiffness, and spacing of track components are often adjusted to meet specific conditions. Sleeper spacing is typically set around 600mm with limited flexibility and is rarely discussed for its impact on track load-bearing capacity. National standards also lack detailed guidelines on sleeper spacing applicability. This study focuses on 60kg/m heavy-duty straight tracks, examining the effects of sleeper spacing on track component displacement and stress, and comparing them with permissible values to identify key factors for controlling sleeper spacing.
    Two models are used for analysis: the beam of elastic foundation model (BOEF Model) and the three-dimensional elastic analytical model. The former calculates rail displacement, bending stresses, rail-seat bending stress, sleeper center bending stress, ballast vertical stress, and subgrade vertical stress after obtaining the track modulus (K). However, it oversimplifies and cannot reflect sleeper spacing impact on support stiffness-Track modulus (K). The three-dimensional model considers mechanical transmission between components and iterates with the BOEF model to determine K for various sleeper spacing.
    Results show that larger sleeper spacing reduces track load-bearing capacity, with key factors being rail vertical displacement, subgrade vertical stress, and the buckling resistance of the track. Future evaluations of sleeper spacing should prioritize these factors.

    摘要 I EXTENDED ABSTRACT II 誌謝 VII 目錄 VIII 表目錄 XI 圖目錄 XII 第1章 緒論 1 1.1 前言 1 1.2 動機與目的 2 1.3 文獻回顧 3 第2章 研究方法 6 2.1 研究流程 6 2.2 軌道基礎參數決定 8 2.2.1 傳統方法 8 2.2.2 經驗式 9 2.2.3 長期量測方法 11 2.3 列車衝擊載重因子 13 2.4 軌道設計的容許值 15 2.4.1 軌框垂直位移 15 2.4.2 鋼軌內部應力 16 2.4.3 軌枕相關參數 18 2.4.4 道碴與路基相關參數 21 第3章 現地軌道模數量測 23 3.1 相關理論及假設 23 3.1.1 相關理論 23 3.1.2 針對現地狀況提出的假設 25 3.2 實驗介紹 28 3.2.1 量測儀器選擇與使用 28 3.2.2 實驗地點及現地參數 31 3.2.3 實驗流程 33 3.3 分析結果 37 第4章 軌枕間距對軌道模數的影響 39 4.1 軌道力學解析模型 39 4.1.1 模型與相關假設 39 4.1.2 求解流程 42 4.1.3 相關公式說明及推導 43 4.1.4 求解現地軌枕下方支承強度 46 4.2 廣義求解軌道模數 48 第5章 案例分析 51 5.1 分析案例說明 51 5.1.1 車輛及載重選擇 51 5.2 軌枕間距對鋼軌的位移及應力的影響 53 5.2.1 鋼軌垂向位移 53 5.2.2 鋼軌內部應力 56 5.3 軌枕間距對軌枕應力的影響 60 5.3.1 軌枕裂化行為說明 60 5.3.2 軌座處彎曲應力 61 5.3.3 軌枕中央彎曲應力 64 5.4 軌枕間距對道碴與路基的接觸應力的影響 67 5.4.1 道碴承載力 67 5.4.2 路基承載力 70 5.5 軌枕間距對於軌道抗挫屈能力的影響 73 5.5.1 軌道的軸向力介紹 73 5.5.2 軌道臨界挫屈載重計算 74 5.5.3 計算成果 77 5.6 討論 78 5.6.1 在現地參數下使用不同軌枕間距對軌道承載力的影響 78 5.6.2 使用不同軌枕下方支承強度對軌道承載力的影響 79 5.6.3 使用不同軌枕尺寸對軌道承載力的影響 80 第6章 結論與建議 81 6.1 結論 81 6.2 建議 82 參考文獻 83

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