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研究生: 葉旭璽
Yeh, Hsiu-hsi
論文名稱: 連續彈性透水潛堤與波浪之互制分析
Analysis of Waves Interaction with Continuous Porous Elastic Submerged Structures
指導教授: 李兆芳
Lee, Jaw-fang
學位類別: 碩士
Master
系所名稱: 工學院 - 水利及海洋工程學系
Department of Hydraulic & Ocean Engineering
論文出版年: 2008
畢業學年度: 96
語文別: 中文
論文頁數: 114
中文關鍵詞: 滲透彈性潛堤
外文關鍵詞: elastic, porous, structure, submerged
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  • 本文研究主要針對波浪通過連續兩座彈性透水潛堤之問題,提出一理論解析解。求解方法為直接延伸藍、李(1999)所提出單一座彈性透水潛堤理論。求解方法上為將問題之區域劃分成七個部份,藉由交界面邊界條件的連續性,即潛堤流體交界面處之動力邊界條件壓力連續與速度連續,配合正交特性將波浪與連續彈性透水潛堤互制作用問題聯立求解,據此波浪與連續彈性透水潛堤之解析解即可求出。在模式驗證上,本文與歐等(2004)之雙列剛性不透水潛堤,丁等(2002)之雙列剛性透水潛堤之試驗結果比較,均得到合理的結果。文中探討潛堤之滲透性係數變化、尺寸變化、彈性效應變化對波場的影響。根據計算結果中指出,軟性材質潛堤結構波浪反射率會大於剛性材質潛堤結構,波浪透過率小於剛性材質潛堤結構,至於波能消散,軟性材質潛堤結構較剛性材質潛堤結構大。

    In this study, the problem of waves passing two consecutive submerged poro-elastic structures is solved analytically. The solution methodology is a direct extension from Lan and Lee (1999) solving for a single submerged poro-elastic structure. Following the solution procedures, the problem domain is divided into seven regions, for which the solution forms can be presented. By using the matching boundary conditions, namely, kinematic and dynamic conditions, together with orthogonal characteristics, a set of simultaneous equations can be set up and solved consequently. The present analytic solutions are compared with Ou et al.(2004) for two consecutive impermeable rigid submerged structures, and with Ting et al.(2002) for two rigid and porous submerged structures. The comparisons are in favorably good agreements. Using the present analytic solution, effects of permeability, dimension, and elasticity of the submerged structures on wave properties are discussed. It can be concluded that for softer structures, the reflection coefficients are bigger than the rigid ones, and consequently the transmissions are smaller. And the softer structures have bigger energy damping than the rigid ones.

    目錄 中文摘要 I 英文摘要 II 誌謝 III 目錄 IV 表目錄 VI 圖目錄 VII 第一章 緒論 1 1-1研究背景與動機 1 1-2文獻回顧 2 1-3研究目的與本文組織 4 第二章 問題描述 5 2-1問題區域描述 5 2-2各區控制方程式與邊界條件描述 6 2-3潛堤區非齊性邊界條件問題轉換 13 第三章 理論解析 19 3-1 勢能函數I 、III 、V區求解 19 3-2 勢能函數II-1a 、II-1b 區求解 20 3-3 II-2a 、II-2b 區求解 21 3-4 IV-1a 、IV-1b 區求解 22 3-5 IV-2a 、IV-2b 區求解 23 3-6 連續彈性透水潛堤之聯立方程式組 25 第四章 結果與討論 37 4-1 項次N對反射率、透過率的收斂情形 38 4-2模式與實驗的驗證 39 4-3不同滲透係數變化對波場影響 41 4-4 潛堤結構彈性變化對波場的影響 43 4-5不同堤寬變化對波場影響 45 4-6潛堤堤高變化對波場影響 47 第五章 結論與建議 53 5-1 結論 53 5-2 建議 54 參考文獻 55 附錄A 波浪通過透水彈性通解之推導過程 57 附錄B 連續彈性透水潛堤II-2a區通解之推導 65 附錄C 連續彈性透水潛堤II-2b區通解之推導 71 附錄D 連續彈性透水潛堤IV-2a區通解之推導 75 附錄E 連續彈性透水潛堤IV-2b區通解之推導 81 附錄F 連續彈性透水潛堤求解待定係數推導過程(I) 87 附錄G 連續彈性透水潛堤求解待定係數推導過程(II) 101

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