鐵路系統作為主要的陸上運輸方式之一，具有長距離和高運量的優點，隨著鐵路電氣化的出現。本文先藉由透過文獻回顧蒐集電車線系統相關模型參數與相關理論，作為數值分析模型得基礎，並探討懸臂組在受不同車速與張力影響下的動態行為。
以多體動力學分析軟體Simpack建立列車與電車線系統的互制模型，來了解接觸網系統與電車線懸臂組間的交互作用，透過調整主吊線與接觸線的張力，分別為9800 N、12000 N以及18000 N與列車的行駛速度100 km/hr、160 km/hr，來判斷在不同的張力、車速組合下對於與懸臂組連接處的主吊線與接觸線的位移歷時，並將位移歷時進行傅立葉轉換形成位移頻譜，將兩種分析結果與彈性波基礎理論對於趨勢進行驗證。
為了了解電車線懸臂組實際在列車運行中的反應，因此使用COMSOL來建立電車線懸臂組的數值模型，並輸入在Simpack所得出主吊線與接觸線的歷時進行分析，探討懸臂組在受接觸網歷時所造成的變形與應力分佈，並以結構上與臺鐵相近的印度國有鐵路懸臂組，以及增加斜撐的中國高速鐵路懸臂組相比較，分析在增加斜撐的情況下，能否有效降低懸臂組的變形量與減少結構中應力中的狀況。
綜合分析結果顯示，若在列車提速的情況下，提升接觸網系統的張力與在懸臂組上增加斜撐均能有效降低接觸網系統在受集電弓上舉力所造成的震盪，進而穩定列車的供電品質，且提速後懸臂組震盪所造成內部應力大小皆小於材料本身的降伏應力，因此在本研究所考量的載重與邊界條件的情況下，初步判斷提速後懸臂組不會有降伏破壞的情況。

As one of the primary mode of land transportation, railway systems offer the advantages of long-distance travel and high capacity. With the advent of railway electrification, lots of problem should be review to raise the comfortability. Firstly, this research conducts a literature review to collect relevant model parameters and theories for the catenary system, which build the basis for the numerical analysis model, in order to investigate the dynamic behavior of the cantilever assembly under different speeds and tensions,.
A coupled model of train and catenary system is established using the multibody dynamics analysis software Simpack to get known of the interaction between the catenary system and the cantilever assembly. By adjusting the tension of the messenger wire and contact wire to 9800 N, 12000 N, and 18000 N, respectively, and the train speed to 100 km/h and 160 km/h in Simpack model, to obtain the result of different tension-speed combinations displacement time histories of the messenger wire and contact wire at the connection point of the cantilever assembly, then converted into displacement spectrum using Fourier transformation, and the trends of the two analysis results are verified against the fundamental theory of elastic waves.
To understand the actual response of the catenary cantilever assembly during train operation, this study establishes a numerical model of the catenary cantilever assembly by using COMSOL. The displacement time histories of the messenger wire and contact wire are input into COMSOL for analysis. The results are compared with a cantilever assembly structurally from India Railway and China high-speed railway cantilever assembly with additional diagonal bracing. The analysis examines whether adding diagonal bracing would reduce the deformation and stress within the structure.
The comprehensive analysis results show that increasing the tension of the catenary system and adding diagonal bracing to the cantilever assembly both effectively reduce the oscillation caused by the uplift force of the pantograph. The result of reducing oscillation could stabilize the power supply quality of the train. Furthermore, the result of the internal stress in different combinations are less than the yielding stress of the material. Therefore, under the load and boundary conditions considered in this study, it is preliminarily concluded that there will be no yield failure of the cantilever assembly after increasing the speed.

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