請用此 Handle URI 來引用此文件：
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| DC 欄位 | 值 | 語言 |
|---|---|---|
| dc.contributor.advisor | 陳永祥 | |
| dc.contributor.author | Wen-Huai Tsao | en |
| dc.contributor.author | 曹文懷 | zh_TW |
| dc.date.accessioned | 2021-06-17T03:48:15Z | - |
| dc.date.available | 2018-02-26 | |
| dc.date.copyright | 2018-02-26 | |
| dc.date.issued | 2018 | |
| dc.date.submitted | 2018-01-24 | |
| dc.identifier.citation | 英文文獻:
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| dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/70186 | - |
| dc.description.abstract | 本文以正規化邊界積分法(regularized boundary integral method, RBIM)模擬液體於二維矩形水槽及三維圓柱形水槽內之非線性沖激(sloshing)行為，以及諧調液體阻尼器(tuned liquid damper, TLD)之應用。沖激問題可視為勢流場(potential flow)中之混和型邊界值問題(mixed type boundary value problem)，並由正規化邊界積分法求解之。因利用消除補償技巧(subtracting and adding-back technique)，於邊界積分式中減去特定積分式，再以等價之積分式補償，以消除奇異積分(singular integral)及近鄰奇異積分(nearly singular integral)，故稱正規化。相較於傳統邊界元素法(boundary element method, BEM)，正規化邊界積分法較為準確、穩定及可靠，並透過直接的演算法達成高效率計算。
求得邊界上未知物理量後，利用拉格朗日(Lagragian)座標描述法追蹤自由液面運動，再由伯努力方程式(Bernoulli equation)求得槽壁上的壓力分佈，其槽底合力可視為施加於結構之外力，以此模擬液體與結構的互制行為(liquid-structure interaction)。最後藉由狀態空間法(state-space method)，求解液體與結構互制之運動方程式，分析諧調液體阻尼器的動力特徵與減震效果。 為模擬液體阻尼器之消能機制，自由液面之動力邊界條件增加一項與速度相關之線性阻尼，於此稱為人工阻尼，其人工阻尼係數(artificial damping coefficient)係根據試驗求得。以單自由度(Single-degree-of-freedom, SDOF)之單擺結構為例，參考附加諧調液體阻尼器之主結構位移的頻率響應函數(frequency response function)，追求設計參數的最佳化。另外，使用等效諧調質量阻尼器模擬，驗證數值方法的適用性，並討論與諧調質量阻尼器(tuned mass damper, TMD)之間的差異與優劣。最後，將研究成果應用於台北101，展現諧調液體阻尼器的經濟性與實用性。本文所使用的理論基礎與數值方法，經過實驗驗證，顯示了良好的準確性、穩定性、可靠性及實用性。 | zh_TW |
| dc.description.abstract | The nonlinear sloshing simulation by the regularized boundary integral method (BIM) and its application on two-dimensional (2D) rectangular and three-dimensional (3D) cylindrical tuned liquid dampers (TLD) are studied. Based on potential flow theory, the sloshing problems can be referred to the boundary value problem (BVP) with mixed type boundary condition, which can be solved by RBIM. By using the subtracting and adding-back technique, several identities are utilized to eliminate the singularities or near-singularities of surface integrals, and then the equivalent integrals are compensated to obtain the regularized boundary integral equation (BIE), therefore it is called as regularization procedure. Compared to traditional boundary element method (BEM), it is not only more accurate and stable to analyze the sloshing problems, but also more efficient due to the simpler algorithm.
When liquid is excited, the free surface motion can be acquired by the Taylor series expansion (TSE) through the Lagrangian description after solving the physical unknowns. The resultant force obtained by summing the pressure on walls from Bernoulli equation, can be regarded as an external force applied to the structure. Therefore the interaction model between liquid and structure can be established to analyze the dynamic responses of the structure and TLD by the state space method. In order to simulate the damping mechanism of TLD, the linear proportional damping term, which is called as artificial damping, is introduced to the dynamic boundary condition on the free surface. Several small-scaled model tests, including harmonic and earthquake excitations, on a shaking table are carried out to verify the artificial damping coefficient for fresh-water TLD or TLD equipped with vertical screens. Therefore the dynamic characteristic of TLD and the optimal design parameter could be drawn by comparing the frequency responses of a single-degree-of-freedom (SDOF) system. On the other hand, the simple equivalent TLD model is employed and then the results by both models are compared with those of tuned mass damper (TMD). At last, the performances of TLD on Taipei 101 are demonstrated to show its advantages of economy and applicability. The fundamental theory and numerical method used in this study shows good agreement with the experimental results, and present the excellent accuracy, stability, practicality and reliability. | en |
| dc.description.provenance | Made available in DSpace on 2021-06-17T03:48:15Z (GMT). No. of bitstreams: 1 ntu-107-F98521208-1.pdf: 6504680 bytes, checksum: bde79638f4919a7f425e3fa24e77098a (MD5) Previous issue date: 2018 | en |
| dc.description.tableofcontents | 誌 謝 I
摘 要 II Abstract IV 目 錄 VI 圖目錄 IX 表目錄 XVII 1 導論 1 1.1 研究動機 1 1.2 文獻回顧 3 (1) 邊界積分法 3 (2) 液體沖激行為 7 (3) 液體與結構間互制作用與諧調液體阻尼器 8 1.3 研究方法與步驟 12 2 二維矩形槽之液體沖激問題 13 2.1控制方程式、邊界條件及液體阻尼模擬 13 2.2 自由液面描述及數值計算方法 16 2.3二維正規化邊界積分法 18 2.4二維矩形槽沖激數值計算 23 2.5二維矩形槽沖激模型試驗 28 2.6結論 31 3 三維圓柱形槽之液體沖激問題 32 3.1控制方程式、邊界條件及液體阻尼模擬 32 3.2自由液面描述及數值計算方法 35 3.3三維正規化邊界積分法 37 3.4三維圓柱形槽沖激數值計算 41 3.5三維圓柱形槽沖激模型試驗 45 3.6結論 48 4諧調液體阻尼器 49 4.1 RBIM模擬(即液體與結構互制之邊界積分法模擬) 49 4.2 E.TMD模擬(即等效諧調質量阻尼器模擬，Equivalent-tuned-mass-damper model) 53 (1) 等效質量與等效勁度 53 (2) 等效諧調質量阻尼器之分析模擬 56 (3) 液體阻尼器之設計參數 60 4.3 諧調液體阻尼器之動力特性分析 64 (1) 二維矩形諧調液體阻尼器 64 (2) 三維圓柱形諧調液體阻尼器 76 4.4結論 86 5台北101大樓之減震應用 87 5.1 台北101之結構介紹 87 (1) 結構系統 87 (2) 諧調質量阻尼器 89 5.2結構動力特性 92 (1) 台北101之結構分析模擬及動力特性 92 (2) 台北101附加諧調質量阻尼器之動力特性 98 5.3地震及風力紀錄與特徵 100 (1) 地震紀錄 100 (2) 風力紀錄 101 5.4諧調質量阻尼器之減震分析 105 5.5諧調液體阻尼器之減震分析 109 5.6結論 117 6 結論與展望 118 6.1 液體沖激行為研究 118 6.2 諧調液體阻尼器研究 120 6.3 未來展望 121 參考文獻 123 附錄A: 模型實驗介紹 140 A.1 實驗佈置與儀器 140 A.2 實驗結構平台特性 142 A.3 波高量測方法 143 附錄B: 正規化邊界積分法之公式推導 144 B.1 二維奇異及近鄰奇異積分 144 B.2 三維奇異及近鄰奇異積分 147 附錄C: 正規化邊界積分法之誤差及效率分析 150 C.1 正方體混和型邊界值問題 150 C.2 圓柱體混和型邊界值問題 155 附錄D: 數值計算之補充說明 159 D.1 應用迭代法求解線性聯立方程式 159 D.2 計算區間之時間間隔與網格收斂性 161 主要符號表 164 | |
| dc.language.iso | zh-TW | |
| dc.subject | 正規化邊界積分法 | zh_TW |
| dc.subject | 非線性沖激行為 | zh_TW |
| dc.subject | 諧調液體阻尼器 | zh_TW |
| dc.subject | 液體與結構互制作用 | zh_TW |
| dc.subject | 勢流理論 | zh_TW |
| dc.subject | 人工阻尼係數 | zh_TW |
| dc.subject | 等效諧調質量阻尼器 | zh_TW |
| dc.subject | Tuned liquid damper | en |
| dc.subject | Liquid and structure interaction | en |
| dc.subject | Potential flows | en |
| dc.subject | Regularized boundary integral method | en |
| dc.subject | Artificial damping coefficient | en |
| dc.subject | Equivalent mass damper | en |
| dc.subject | Nonlinear sloshing behavior | en |
| dc.title | 以正規化邊界積分法分析非線性液體沖激行為及其在諧調液體阻尼器之應用 | zh_TW |
| dc.title | Study on Nonlinear-Liquid-Sloshing Behavior and Its Application on Tuned-Liquid Damper by Regularized Boundary Integral Method | en |
| dc.type | Thesis | |
| dc.date.schoolyear | 106-1 | |
| dc.description.degree | 博士 | |
| dc.contributor.coadvisor | 黃維信 | |
| dc.contributor.oralexamcommittee | 張國鎮,黃良雄,陳正宗,曹登皓 | |
| dc.subject.keyword | 非線性沖激行為,諧調液體阻尼器,液體與結構互制作用,勢流理論,正規化邊界積分法,人工阻尼係數,等效諧調質量阻尼器, | zh_TW |
| dc.subject.keyword | Nonlinear sloshing behavior,Tuned liquid damper,Liquid and structure interaction,Potential flows,Regularized boundary integral method,Artificial damping coefficient,Equivalent mass damper, | en |
| dc.relation.page | 166 | |
| dc.identifier.doi | 10.6342/NTU201800148 | |
| dc.rights.note | 有償授權 | |
| dc.date.accepted | 2018-01-25 | |
| dc.contributor.author-college | 工學院 | zh_TW |
| dc.contributor.author-dept | 土木工程學研究所 | zh_TW |
| 顯示於系所單位： | 土木工程學系 | |
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