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研究生: 葉治頡
Yeh, Chih-Chieh
論文名稱: 人行橋縮尺風洞模型結合地盤反應模擬之振動台試驗研究
Shaking Table Test of A Scaled Wind Tunnel Pedestrian Bridge Model Integrated with Ground Response Simulation
指導教授: 朱世禹
Chu, Shih-Yu
方中
Fang, Chung
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: 2025
畢業學年度: 113
語文別: 中文
論文頁數: 190
中文關鍵詞: 數值模擬土壤轉換函數模態特性SAP2000
外文關鍵詞: SAP2000, Numerical Simulation, Soil Transfer Function, Modal Characteristics
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  • 由於台灣處於板塊交界處,導致地震頻繁發生,同時又建有許多橋梁,作為橫跨河川、山區或道路的重要通道,橋梁由於本身較為柔軟通常比起建物有著自然週期較長的特性,大部分人對於橋梁的印象都是容易受到風力、車載等等外力的影響,但橋樑兩側的支承或是斜張橋體中間的橋塔等與地表相連處同樣會受到地震力影響。本文主要以數值模擬搭配振動台實驗的方式,將常利用於風洞實驗的人行橋縮尺模型結合土層轉換函數於 MAST振動台上進行動態實驗,此實驗不僅能探討橋體本身的動態行為之外,也可以模擬不同打樁深度對橋梁結構行為的影響,以利未來建造過程中可以考量土壤深度帶來的效應。此外,亦考量到人行斜張橋在纜索加裝前後會有何動態特性的影響。本文採用的數值模擬方法是採用商用軟體SAP2000有限元素分析軟體去進行,在數值模擬和實驗都加入同樣的輸入去觀察橋體模型的特性,同時將實驗中透過測量儀器收到的數據進行分析探討其動態行為的差別,最後根據實驗資料分析結果修正數值模型。除了可以更了解整體模型的結構模態特性,同時修正後的數值模型無論是無纜索的空橋模型或是掛滿纜索的模型都可以作為未來更多實驗的參考。

    Taiwan is located at the intersection of tectonic plates, resulting in frequent earthquakes. Numerous bridges serve as essential transportation links across rivers, mountains, and roads. Due to their inherent flexibility, bridges generally exhibit longer vibration periods compared to buildings, making them more susceptible to external forces such as wind and traffic loads. Additionally, the bridge supports at both ends, as well as the central pylons of cable-stayed bridges, are directly connected to the ground and are affected by seismic forces.
    This study integrates numerical simulations with scaled model experiments to investigate the dynamic behavior of a pedestrian bridge under seismic excitation. A scaled model of a pedestrian cable-stayed bridge was placed on the MAST shaking table, incorporating soil transfer functions to simulate different foundation conditions. The experimental setup allows for the exploration of the bridge’s dynamic characteristics, the influence of varying pile depths on bridge behavior, and the impact of cable installation on the structure’s dynamic response.
    Numerical simulations were conducted using the SAP2000 finite element analysis software, with the same seismic inputs applied in both the simulations and the experiments to facilitate direct comparison. Data collected from sensors during the experiments were analyzed alongside the SAP2000 model outputs to identify and assess differences in dynamic behavior. Based on the experimental data, the numerical model was further refined. The calibrated model provides deeper insight into the overall modal characteristics of the structure and serves as a reference for future experimental studies, including both the cable-free (bare bridge) and cable-installed configurations.

    摘要 I Extended Abstract II 致謝 XI 目錄 XII 表目錄 XIV 圖目錄 XV 一、緒論 1 1.1研究動機 1 1.2文獻回顧 2 1.3本文內文 5 二、波傳理論與地層轉換函數之實現 8 2.1 波傳理論與地層轉換函數 8 2.1.1 波傳理論與地層轉換函數 8 2.1.2 經驗地層轉換函數 13 2.2 頻率響應函數(Frequency Response Function) 14 2.2.1 馬可夫參數和權重序列表示法 14 2.2.2 頻率響應函數(Frequency Response Function) 16 2.2.3 窗函數 17 2.2.4 特徵系統實現法(Eigenvalue Realization Algorithm, ERA) 18 三、實驗前之數值模擬 27 3.1 透過FRF/ERA建立土層狀態空間 27 3.2 縮尺數值模型建立 29 3.2.1 空橋數值模型建立 29 3.2.2 滿纜索橋數值模型建立 30 3.3 使用實驗輸入進行模擬 31 3.3.1 Sweep sine掃頻 31 3.3.2 模擬基樁在各土層深度歷時作用下之動態行為 32 3.4 小結 34 四、實驗和分析 67 4.1實驗規劃 67 4.1.1實驗試體和設備儀器介紹 67 4.2實驗方法 70 4.2.1振動台效能測試 70 4.2.2實驗方法說明 70 4.3資料分析 72 4.3.1 實驗一-兩種實驗模型的頻率識別 72 4.3.2 實驗二-兩種井下地震事件施加於橋體產生之反應分析 73 4.4 小結 75 五、數值模型修正 150 5.1 空橋數值模型修正 150 5.2 滿纜索橋數值模型修正 151 5.3 小結 152 六、結論與建議 160 6.1結論 160 6.2建議 162 參考文獻 163

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