本文研究考慮一個矩形不透水單浮箱和單一繫纜所組成的二維浮式結構物，受一週期波浪作用下，對浮台的運動分析。文中考慮二維波浪場中，在邊界條件線性化後，將入射波與浮式結構物的作用問題分成散射問題與單位振幅結構物運動之輻射問題，以分離變數法解析。在繫纜對浮體的束制中，將繫纜結構物分成兩類來討論：1、同時考慮中垂效應與抗彎剛度。2、無考慮中垂效應與抗彎剛度，並延續Lee(1995)針對浮式結構物下非齊性之邊界條件分成兩邊界條件來處理下方的波浪場。以散射問題與輻射問題的解析結果，搭配結構物之運動方程，來求解結構物受繫纜束至之運動振幅與各流場波浪勢能函數的變化。

In this thesis, two-dimensional floating structure consists of single rectangular impermeable pontoon and single cable is studied.The purpose of this study is to obtain the motion analysis of incident waves acting on a floating with cable-restrained. All boundary conditions are linearlized in the problem which is separated into a scattering problem and radiation problem with unit motion amplitude. The method of separation of variable is used to solve for velocity potentials. Divide two kinds of discussions in cable-restrained：1、With sag effective and flexural rigidity. 2、NO sag effective and no flexural rigidity. The boundary value problem with nonhomogeneous boundary condition beneath the structure is solved by using a solution procedure proposed by Lee(1995). By combining the scattering solution, radiation solutions of three degrees of freedom, and equations of motion of the floating structure, an analytic solution for the problem is developed.

中文摘要
英文摘要
致謝
目錄..........................................................I
圖目錄......................................................III
表目錄.......................................................XI

第一章 緒論..................................................1
1-1 前言.................................................1
1-2 文獻回顧.............................................2
1-3 研究方法.............................................3
1-4 本文架構.............................................4
第二章 流場理論解析..........................................6
2.1 問題描述與基本假設.....................................6
2-2 邊界值問題.............................................7
2-2-1 散射問題...........................................8
2-2-2 單位水平振幅輻射問題..............................10
2-2-3 單位垂直振幅輻射問題..............................13
2-2-4 單位旋轉振幅輻射問題..............................17
2-3 浮體運動方程式........................................21
第三章 繫纜之運動控制方程式.................................29
3-1 繫纜在靜力作用下之初始模型之假設....................29
3-2 僅考慮中垂效應影響時之運動控制方程式................30
3-2-1 基本理論........................................30
3-2-2 分析方法........................................32
3-3 考慮抗彎剛度影響之運動控制方程式....................35
3-4 同時考慮中垂效應和彎曲剛度之影響....................38
3-5 未考慮中垂效應與抗彎剛度的繫纜束制力................39
第四章 浮體結構物之運動控制方...............................44
4-1 結構物運動方程式......................................44
第五章 計算結果與討論.......................................50
5-1 流場解析解的收斂性分析................................50
5-2 時間域(time domain)中不同材料的振幅變化...............50
5-2-1 四種不同的材料在纜繩直徑為1cm的變化..............50
5-2-2 四種不同的材料在纜繩直徑為3cm的變化..............51
5-3無因次分析中流場與各振幅的變化.........................51
5-3-1 改變寬度對流場及結構運動振幅的影響................51
5-3-2 改變浸水深對流場及結構運動振幅的影響..............52
5-3-3 改變繫纜斷面積對流場及結構運動振幅的影響..........52
5-3-4 改變材料性質對流場及結構運動振幅的影響............53
5-3-5 繫纜角度若轉變為80度的差異.......................53
第六章 結論與建議............................................99
參考文獻.......... ............ .............................101
附錄A 參數定義.. ...........................................103
附錄B 單位垂直振幅II區勢能..................................104
附錄C 單位旋轉振幅II區勢能..................................109

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