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研究生: 黃承濰
Huang, Cheng-Wei
論文名稱: 結合靜載試驗與數值模型估算橋梁動態參數之研究
Estimation of Bridge Dynamic Characteristics through Static Loading Tests and Numerical Model Updating
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: 197
中文關鍵詞: 現地實驗模態分析頻率域分析數值模擬SAP2000
外文關鍵詞: SAP2000, Experiment, Modal analysis, Numerical simulation
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  • 目前常見的橋梁特性辨識方法包括車載量測、靜力加載與自由震盪試驗,亦可搭配有限元素分析軟體進行數值模擬,以獲得完整的結構反應資訊。本文利用靜力加載與自由震盪試驗配合數值模型,探討臨時便橋的動態行為。透過靜力加載試驗可觀察實際臨時便橋的變形模式與勁度分佈,透過橋體勁度進而推估其動態性質。自由震盪所得之位移與加速度歷時,經傅立葉轉換後可獲得實際便橋之模態頻率,作為靜力推估法之驗證依據。最後,利用 SAP2000 建立橋梁數值模型,並透過靜力加載實驗之位移結果調整數值模型參數,使數值模型靜力變形行為更貼近實際橋體情況,並確認數值模形之模態特性符合自由震盪實驗識別結果,從而提升後續進行結構控制或安全評估時的準確性與可靠度。

    Common techniques for identifying bridge characteristics include vehicle-based measurements, static loading tests, and free vibration tests, often complemented by finite element simulations to obtain comprehensive structural response data. This study investigates the dynamic behavior of a temporary bridge using a combination of static loading and free vibration tests along with numerical modeling. The static loading test captures the deformation pattern and stiffness distribution of the actual bridge, which serves as a basis for estimating its dynamic properties. The displacement and acceleration time histories obtained from the free vibration test are transformed using Fourier transform to extract modal frequencies, which are used to validate the estimations derived from the static approach. Finally, a numerical bridge model is developed using SAP2000, and its parameters are refined based on experimental results to better reflect the real deformation behavior, thereby improving the accuracy and reliability of structural control and safety assessments.

    摘要 I Extend Abstract II 誌謝 VII 目錄 VIII 表目錄 X 圖目錄 XIII 第一章 緒論 1 1.1研究動機與目的 1 1.2 文獻回顧 2 1.3 本文內容 4 第二章 理論介紹及數值模擬 6 2.1 連續質量及彈性系統 6 2.1.1 Euler-Bernoulli beam theory 6 2.1.2 Timoshenko beam theory 9 2.2 數值模擬驗證 12 2.2.1 簡支梁數值模型驗證 12 2.2.2 小結 13 第三章 實驗前預估數值模型和實驗規劃 30 3.1 實驗前預估之橋梁數值模型 30 第四章 實驗規劃與結果分析 39 4.1實驗規劃 39 4.1.1實驗試體 39 4.1.2輯錄系統及感測器設備 40 4.2實驗方法 41 4.2.1靜力加載實驗 41 4.2.2自由震盪實驗 42 4.3實驗資料分析 43 4.3.1靜力加載實驗 43 4.3.2自由震盪實驗 44 第五章 數值模型修正 91 5.1數值模型修正及分析 91 5.1.1空橋數值模型修正 91 5.1.2集中橋面板數值模型製作 92 5.1.3均佈橋面板數值模型製作 92 5.1.4小結 93 第六章 結論與建議 108 6.1結論 108 6.2建議 110 參考文獻 112 附錄 115 論文口試委員意見表 173

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