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研究生: 黃子瑄
Huang, Tzu-Hsuan
論文名稱: 調諧液體晃盪阻尼器應用於滾軸單擺系統與多自由度結構之硬體迴路模擬研究
Hardware-in-the-Loop Simulation of Tuned Liquid Sloshing Dampers Applied to Rolling Pendulum System and Multi-Degree-of-Freedom Structure
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: 2026
畢業學年度: 114
語文別: 中文
論文頁數: 183
中文關鍵詞: 調諧液體晃盪阻尼器 、滾軸單擺系統 、硬體迴路模擬 、康氏摩擦模型 、多自由度結構
外文關鍵詞: TLSD, Rolling Pendulum System, Hardware-in-the-loop Simulation, Constantinou friction model, multi-degree-of-freedom structure
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  • 調諧液體晃盪阻尼器(Tuned Liquid Sloshing Damper, TLSD)係利用液體晃盪所產生之慣性力與能量耗散,降低結構受外力作用下之動態反應。本文探討TLSD應用於滾軸單擺系統(Rolling Pendulum System, RPS)與多自由度結構之硬體迴路模擬可行性。研究內容包含吊掛單擺平台之動態特性驗證、RPS摩擦模型識別、RPS與TLSD之數位式硬體迴路模擬,以及五層樓多自由度結構結合TLSD之控制效果分析。首先,透過自由震盪試驗確認吊掛平台之平移與扭轉動態特性,作為後續TLSD晃動反應觀察與晃動力量測之基礎。其次,針對RPS摩擦行為,將前人分段式庫倫摩擦模型改以速度相依方式作為即時判斷依據,並採用康氏摩擦模型描述摩擦係數隨速度變化之特性,以建立較適合硬體迴路模擬與即時複合實驗之數值模型。接著,建立RPS與TLSD之數位式硬體迴路模擬架構,透過主結構與次結構分離運算、訊號傳輸與力回授機制,作為後續正式即時複合實驗規劃之基礎。最後,將TLSD應用於五層樓多自由度結構,探討不同地震輸入、水高與擋板位置對控制效果之影響。分析結果顯示,康氏摩擦模型可連續描述RPS摩擦係數隨速度變化之特性,多地震共同識別所得參數較適合未知地震輸入之反應分析,單一地震識別則較適合特定試驗結果之比對。在多自由度結構分析結果顯示,TLSD對第一模態主導之長週期結構具有一定減振效果,其中以頂樓位移反應降低較為明顯;此外,TLSD之減振效能雖以頻率調諧為最主要之物理基礎,但其最終之控制效果仍會受到地震頻率組成、水深、擋板配置及實際液體晃動狀態等因素之綜合影響。

    A Tuned Liquid Sloshing Damper (TLSD) reduces structural dynamic responses through the inertial force and energy dissipation generated by liquid sloshing. This study investigates the feasibility of applying a TLSD to a Rolling Pendulum System (RPS) and a multi-degree-of-freedom structure through hardware-in-the-loop simulation. The research includes dynamic verification of a suspended pendulum platform, RPS friction model identification, digital hardware-in-the-loop simulation of the RPS coupled with the TLSD, and control performance analysis of a five-story structure equipped with the TLSD. Free-vibration tests verified the suspended platform's dynamic characteristics, providing a basis for TLSD sloshing observation and force measurement. For the RPS friction behavior, the previous piecewise Coulomb friction model was modified using a velocity-dependent criterion for real-time judgment, and the Constantinou friction model was adopted to describe the velocity-dependent friction coefficient. A digital hardware-in-the-loop simulation framework was then established by separating the primary structure and substructure computations with signal transmission and force feedback. Finally, the TLSD was applied to a five-story structure to examine the effects of earthquake input, water depth, and slat screen position on control performance. The results show that the Constantinou friction model can continuously describe the RPS friction behavior. Parameters identified from multiple earthquake records are more suitable for unknown earthquake inputs, whereas single-record parameters are more appropriate for specific test comparisons. The multi-degree-of-freedom analysis indicates that the TLSD provides vibration reduction for first-mode-dominated long-period structures, especially in reducing rooftop displacement. Furthermore, while frequency tuning remains the primary basis for vibration reduction, the optimal control performance is comprehensively affected by earthquake frequency content, water depth, slat screen position, and actual liquid sloshing states.

    摘要 I Extended Abstract II 致謝 V 目錄 VI 表目錄 X 圖目錄 XII 第一章 緒論 1 1.1 前言 1 1.2 文獻回顧 2 1.2.1 調諧液體晃盪阻尼器(TLSD)相關研究 2 1.2.2 硬體迴路模擬相關文獻 4 1.2.3 即時複合實驗相關文獻 5 1.3 本文內容 6 第二章 雙層吊掛單擺機構之動態特性驗證 8 2.1 雙層吊掛鋼架系統之建立目的 8 2.2 雙層吊掛鋼架系統配置與量測架構 9 2.3 四線擺系統之平移與扭轉理論 10 2.4 自由震盪試驗與量測配置 12 2.4.1 自由震盪試驗方式 12 2.4.2 量測儀器配置 12 2.5 動態參數識別方法 13 2.5.1 平移位移與扭轉角計算 13 2.5.2 阻尼比與自然頻率識別 14 2.5.3 基準訊號識別驗證 15 2.6 實驗結果與討論 15 2.6.1 平移模態識別與平面運動軌跡分析 15 2.6.2 扭轉模態頻率分析 16 2.6.3 四線擺理論與實驗頻率比較 17 2.7 小結 18 第三章 RPS 系統摩擦模型之識別方法與即時化應用 44 3.1 前言 44 3.2 前人分段式庫倫摩擦模型 45 3.2.1 分段式庫倫摩擦模型理論 45 3.2.2 前人識別流程與限制 46 3.3 速度相依切換模型 47 3.3.1 速度相依切換概念 47 3.3.2 即時化可行性 47 3.3.3 模擬結果比較 48 3.4 康氏摩擦模型 49 3.5 康氏摩擦模型之識別方法 50 3.5.1 以位移歷時 RMS 為基準之識別方法(Multi-EQ) 51 3.5.2 以摩擦係數 RMS 為基準之識別方法(Multi-EQ) 52 3.6 不同摩擦模型之比較 57 3.6.1 不同摩擦模型之模擬結果比較(Multi-EQ) 57 3.6.2 單一地震識別結果之比較(Single-EQ) 58 3.6.3 Multi-EQ 與 Single-EQ 之識別結果比較 59 第四章 RPS–TLSD 系統之數位式硬體迴路模擬 98 4.1 前言 98 4.2 振動台實驗回顧 99 4.3 數位式硬體迴路模擬架構 99 4.4 TLSD 理論模型介紹 101 4.5 RPS-TLSD 系統之訊號回授流程 102 4.6 實驗量測晃動力之數值耦合分析 103 4.7 分析案例與量化評估方法 104 4.8 小結 105 第五章 多自由度系統與TLSD系統之減振效益評估 123 5.1 前言 123 5.2 五層樓剪力屋架主結構參數設計與模型建立 123 5.3 五層樓剪力屋架之運動方程式與狀態空間模型建立 125 5.4 主結構模態分析結果 129 5.5 TLSD與五層樓主結構閉迴路控制流程 130 5.6 現有TLSD 水箱配置下之參數掃描與控制效果評估 130 5.6.1 減震效能指標計算 130 5.6.2 控制效果評估 132 第六章 結論與建議 147 6.1 結論 147 6.2 建議與未來展望 148 參考文獻 150 附錄A 鋼索線徑與釋放方式對吊掛平台動態特性之影響 157

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