本研究以理論解析探討波浪與內外相嵌複合式透水彈性潛堤互相作用之機制，本文延伸Lan and Lee(2010)提出之單一透水彈性潛堤進行理論解析。文中將問題的領域區分為七個部分，藉由交界面邊界條件的連續性，再配合正交特性將波浪與複合式透水彈性潛堤互制問題聯立求解，據以求得波浪與複合式透水彈性潛堤之解。
在模式驗證上，本文將理論解析退化為單一材質之潛堤與前人之透水彈性潛堤的理論解析結果比較，得到良好的一致性。本文先藉由定性分析，探討由柔性與剛硬性內外組成之複合式透水彈性結構物受波浪作用後的運動特性。文中再選取兩種幾何形狀的複合式透水彈性潛堤，分別探討影響參數如內外潛堤厚薄改變、滲透係數變化及剪力模數變化對潛堤與波浪互制的影響。
分析結果顯示，在潛堤相對提寬為b/d=2.0的情況下，當材質較硬的部分其剪力模數的範圍G〉500000N/M2，G值變化對波浪反射率、透過率與能量損失的影響不大；且在總堤寬不變條件下，當外層柔性材質厚度減少到一定程度時，潛堤彈性效應對波場的影響明顯降低，波浪反射率及透過率之曲線變化呈現則與波浪通過剛性潛堤相似，不會出現大幅度的振盪。

Wave propagation over a embedded combined submerged poro-elastic structure formed with different materials is investigated theoretically. Lan and Lee’s (2010) theory was extended to derive a new analytical solution for describing the interaction between waves and combined poro-elastic submerged structures. Lineary wave theory is used to analyze wave motion based an Biot’s theory including the turbulent frictional effect. In the present approach, the problem is divided into seven domains in which matching boundary conditions as well as dynamic and kinematic conditions are employed in each connection region. Mass conservation of the poro-elastic structure and the equation of motion for pore fluid are also used to arrive at the theory for describing wave fields and displacement of the poro-elastic structure.
The present analytical solutions are identical to previous analytical results for the cases of a single breakwater with impermeable rigid, porous, and poro-elastic structures. Kinematic characteristics for the combined elastic and rigid porous structures on waves are studied. The effects of influence parameters for different geometries of poro-elastic structures with various width, intrinsic permeability and shear modulus.

摘要 I
致謝 V
目錄 VI
表目錄 VIII
圖目錄 IX
符號說明 XII
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 本文組織 6
第二章 問題描述與邊界值問題建立 7
2-1問題描述 7
2-2 邊界值問題建立 10
2-3 潛堤區非齊性邊界條件問題轉換 17
第三章 理論解析 25
3-1 勢能函數I、VII區求解 25
3-2 II-a、II-b區求解 26
3-3 III-a、III-b區求解 28
3-4 IV-a、IV-b區求解 30
3-5 V-a、V-b區求解 32
3-6 VI-a、VI-b區求解 34
第四章 結果與討論 36
4-1 項數N的收斂情形 36
4-2 模式驗證 39
4-2-1 與其它理論解析解及數值模式比較 39
4-2-2 與藍 (2000) 試驗結果比較 41
4-2-3 與Lan and Lee (2010) 理論解析解比較 44
4-3 內外相嵌複合式透水彈性潛堤對波浪的影響 46
4-3-1 剛硬性材料內與柔性材料在外潛堤厚薄度組合改變對波浪的影響(相對總堤寬 ) 47
4-3-2剛硬性材料內與柔性材料在外滲透係數改變對波浪的影響(相對總堤寬 ) 51
4-3-3 綜合討論 58
第五章 結論與建議 59
5-1 結論 59
5-2 建議 60
參考文獻 61
附錄A透水彈性體理論控制方程式之推導過程 65
附錄B 複合式透水彈性潛堤II-a區通解之推導 68
附錄C 複合式透水彈性潛堤II-b區通解之推導 73
附錄D 複合式透水彈性潛堤III-a區通解之推導 78
附錄E 複合式透水彈性潛堤III-b區通解之推導 83
附錄F 複合式透水彈性潛堤IV-a區通解之推導 88
附錄G 複合式透水彈性潛堤IV-b區通解之推導 93
附錄H 複合式透水彈性潛堤V-a區通解之推導 98
附錄I 複合式透水彈性潛堤V-b區通解之推導 103

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