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系統識別號 U0026-2007201111105000
論文名稱(中文) 波浪與相鄰彈性透水潛堤互相作用之分析
論文名稱(英文) Analysis of Wave Interaction with Submerged Adjacent Porous Elastic Breakwaters
校院名稱 成功大學
系所名稱(中) 水利及海洋工程學系碩博士班
系所名稱(英) Department of Hydraulics & Ocean Engineering
學年度 99
學期 2
出版年 100
研究生(中文) 陳慶榆
研究生(英文) Ching-Yu Chen
學號 n86984234
學位類別 碩士
語文別 中文
論文頁數 119頁
口試委員 指導教授-許泰文
指導教授-藍元志
口試委員-林炤圭
口試委員-翁文凱
中文關鍵字 相鄰潛堤  彈性  透水  潛堤 
英文關鍵字 Adjacent breakwaters  Elastic materials  Porous structures  Submerged breakwater 
學科別分類
中文摘要 本研究主要探討波浪與相鄰彈性透水性潛堤相互作用之問題,提出一理論解析解,求解理論與方法為延伸Lan and Lee(2010)所提出的單一彈性透水潛堤理論。兩相鄰彈性透水潛堤分別為均質且等向透水之彈性介質。論文求解上將問題之區域共劃分成七個部分,藉由交界面邊界條件的連續性,即為潛堤與流體交界面處之動力邊界條件壓力連續與質量通率連續,配合正交性特性將波浪與相鄰彈性透水潛堤互制作用問題聯立求解,據此波浪與相鄰彈性透水潛堤之解析解即可求出。在模式驗證上,本文與Mei and Black(1969)之不透水剛性潛堤,李和劉(1995)、黃和林(1997)之透水剛性潛堤,Lan and Lee(2010)之彈性透水潛堤之解析解結果比較,均得到合理結果。文中主要分兩部份做探討,第一部分為相同材質下相鄰彈性透水潛堤堤寬的改變、滲透性係數變化對波場的影響;第二部份為不同材質下相鄰彈性透水潛堤堤寬改變、前後位置改變、滲透性係數變化對波浪的影響。根據分析結果顯示相同彈性透水材質下兩潛堤堤寬相等時有較大的能量損失;在剛性透水材質與彈性透水材質組合之不同材質下,同一種潛堤堤寬的組合中,其前後順序互相交換,僅對於波浪的反射波有明顯不同的影響,在透過波與能量損失方面,則影響較不明顯。
英文摘要 In this study, the problem of wave interaction with submerged adjacent porous elastic breakwaters is solved analytically. The method of solution is an extension from Lan and Lee (2010), a single submerged poro-elastic structure which is sloved by subjecting to boundary conditions. The submerged adjacent porous elastic breakwaters are assumed to be homogeneous, isotropic and elastic. The problem of the study domain is divided into seven regions, from which the form of solution can be in terms of harmonic functions. Using the matching boundary conditions, i.e., kinematic and dynamic conditions combined with orthogonality, a set of simultaneous equations is developed and solved numerically. By comparing the analytic solution with the rigid submerged breakwater (Mei and Black, 1969), permeable rigid submerged breakwater (Lee and Liu, 1995 ; Huang and Lin, 1997) and poro-elastic submerged breakwater (Lan and Lee, 2010), favorable agreements are found. This study focuses on two main parts, (a) changes of width of breakwater and permeable coefficient effect on wave profile, and (b) the effect of materials and configurations of breakwater on wave variation. The theoretical analysis shows that the largest energy loss occurs when the adjacent structures are both having the same material and width. For the case the different materials, the configuration of adjacent breakwaters significiently affect the reflection coefficient, while the energy loss and transmission coefficient are less obviously influenced.
論文目次 中文摘要 I
英文摘要 (Abstract) II
誌謝 III
目錄 IV
表目錄 VI
圖目錄 VII
符號說明 X
第一章 緒論 1
1-1 研究背景、動機與目的 1
1-2 文獻回顧 2
1-3 本文組織 4
第二章 問題描述與邊界值問題建立 5
2-1問題描述 5
2-2 邊界值問題建立 8
2-3 潛堤區非齊性邊界條件問題轉換 14
第三章 理論解析 21
3-1 勢能函數I、III、V區求解 21
3-2 勢能函數II-1-a、II-1-b區求解 22
3-3 II-2-a、II-2-b區求解 23
3-4 IV-1-a、IV-1-b區求解 25
3-5 IV-2-a、IV-2-b區求解 26
第四章 結果與討論 30
4-1 項次N對波浪反射率與透過率的收斂情形 30
4-2 模式驗證 33
4-2-1 與其它理論解析解及數值模式之比較 34
4-2-2 與黃和林(1997)試驗結果比較 36
4-2-3 與Lan and Lee (2010) 理論解析解比較 38
4-3 相同彈性透水材質下相鄰彈性透水潛堤對波浪的影響 41
4-3-1 相同彈性透水材質下相鄰彈性透水潛堤堤寬改變對波浪的影響 42
4-3-2 相同材質下相鄰彈性透水潛堤滲透性改變對波浪的影響 44
4-3-3 綜合討論 47
4-4 不同材質下相鄰彈性透水潛堤對波浪的影響 48
4-4-1 剛性潛堤在前與彈性潛堤在後堤寬改變對波浪的影響 49
4-4-2 剛性潛堤在前與彈性潛堤在後滲透係數改變對波浪的影響 51
4-4-3 彈性潛堤在前與剛性潛堤在後堤寬改變對波浪的影響 54
4-4-4 彈性潛堤在前與剛性潛堤在後滲透係數改變對波浪的影響 57
4-4-5 綜合討論 60
第五章 結論與建議 62
5-1 結論 62
5-2 建議 64
參考文獻 65
附錄A 彈性透水體理論控制方程式之推導過程 68
附錄B 相鄰彈性透水潛堤II-2-a區通解之推導 71
附錄C 相鄰彈性透水潛堤II-2-b區通解之推導 76
附錄D 相鄰彈性透水潛堤IV-2-a區通解之推導 81
附錄E 相鄰彈性透水潛堤IV-2-b區通解之推導 86
附錄F 波浪通過相鄰彈性透水潛堤待定係數求解過程I 91
附錄G 波浪通過相鄰彈性透水潛堤待定係數求解過程II 106
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