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研究生:高政宏
研究生(外文):Jeng-HongKao
論文名稱:三維繫纜浮式結構物和波浪互制問題之數值模擬
論文名稱(外文):Three-Dimensional Numerical Simulation of Interaction between Waves and Floating Structure with Moorings
指導教授:李兆芳李兆芳引用關係
指導教授(外文):Jaw-Fang Lee
學位類別:博士
校院名稱:國立成功大學
系所名稱:水利及海洋工程學系
學門:工程學門
學類:河海工程學類
論文種類:學術論文
論文出版年:2015
畢業學年度:103
語文別:中文
論文頁數:140
中文關鍵詞:三維繫纜浮式結構物波浪互制問題
外文關鍵詞:Three dimensioncablefloating structureinteraction problem
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考慮穩定週期運動,線性波浪場、剛體浮式結構物、以及懸垂繫纜。波浪場中的繞射波和輻射波僅使用一個反應波表示,同時波浪場為利用邊界元素法模擬。浮式結構物為具有六個自由度運動。懸垂繫纜則使用有限元素法模擬。在問題求解上則先利用繫留點力與位移連續的條件,將纜繩運動方程式與結構物運動方程式合併,然後再與波浪場邊界元素模式聯立求解整個問題。對於本文建立起來的波浪與繫纜浮式結構物互相作用三維數值模式,首先說明數值網格計算的收斂性。接著模擬斷面水槽中繫纜浮式矩形立方體受波浪作用的問題,計算結果除與Sannasiraj et al. (1998)的數值與試驗結果比較說明本研究的正確性外,同時也探討模擬二維結果時,斷面水槽三維數值模擬參數的設定。最後,利用本文所發展數值模式探討繫纜浮體在開闊海洋中受波浪之運動特性,結果包括不同波浪入射方向作用下之波浪場、結構物各自由度之運動、以及繫纜之受力。
In this study a three-dimensional problem of interactions between waves and a floating structure with moorings is investigated. The problem considered is steady and periodic, and linear wave field, rigid floating structure, and catenary moorings are adopted. For the wave problem the diffracted wave and radiated wave are represented as one induced wave. The wave field is simulated using a boundary element method. The floating structure has six degrees of freedom. The catenary moorings are represented by a finite element model. In the solution the equations of the floating structure and the catenary cable are combined firstly through continuous connections of force and displacement. Then the entire problem is solved using structural equations together with the boundary element wave model. Using the three-dimensional numerical model of wave interaction with a moored floating structure developed in this study, the convergence calculation of numerical mesh is firstly illustrated. In what follows, a floating rectangular cuboid in the channel subjected to incident wave is simulated. The present numerical results are compared with numerical and experimental results by Sannasiraj et al. (1998) to demonstrate accuracy of the present model. Meanwhile the parameters used in three-dimensional simulations in the wave channel to simulate two-dimensional results are also investigated. Finally, the problems of a moored floating rectangular structure in the open sea subjected to incident waves of various directions are investigated. The simulated results include wave fields, structural motions of each degrees of freedom, and mooring forces
中文摘要 I
Abstract II
誌謝 V
目錄 VI
表目錄 VIII
圖目錄 IX
符號說明 XIII
第一章 緒論 1-1
1-1 前言 1-1
1-2 文獻回顧 1-2
1-3 研究目的與方法 1-5
1-4 組織與架構 1-6
第二章 問題描述 2-1
2-1波浪場邊界值問題 2-2
2-2三維波浪場邊界元素之模擬 2-4
2-3三維纜繩有限元素之模擬 2-6
2-4在無波浪作用下三維繫纜浮式結構物靜態平衡位置之計算 2-10
第三章 數值模式 3-1
3-1三維繫纜浮式結構物與波浪互制數值模式 3-1
3-2在斷面水槽中繫纜錨錠浮體與波浪互制數值模式 3-6
3-3在斷面水槽中彈簧錨碇浮體與波浪互制數值模式 3-9
3-4自由浮體與波浪互制模式及纜繩數值模式之元素收斂計算 3-13
第四章 結果與討論 4-1
4-1在斷面水槽中繫纜錨錠浮體與波浪互制模式之計算結果 4-1
4-2在斷面水槽中彈簧錨碇浮體與波浪互制模式之計算結果 4-7
4-3在開闊海洋中繫纜錨錠浮體與波浪互制之計算結果 4-13
第五章 結論與建議 5-1
5-1 結論 5-1
5-2 建議 5-2
參考文獻 6-1
附錄A結構物邊界條件推導 A-1
附錄B三維邊界元素法 B-1
附錄C三維懸垂方程式推導 C-1
附錄D三維繫纜浮式結構物運動方程式 D-1
附錄E繫纜與浮式結構物運動方程式合併推導 E-1
附錄F線性代數式中常數C之推導 F-1
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