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研究生： 戴薇
Tai, Wei
論文名稱： 應用特徵函數匹配法分析波浪通過任意形狀張力腳平台之變形
Wave scattering analysis for tension leg structures of arbitrary shape using Eigen-function matching method
指導教授： 蕭士俊
Siao, Shih-Jyun
共同指導: 許泰文
Syu, Tai-Wun
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： 2016
畢業學年度： 104
語文別： 英文
論文頁數： 73
中文關鍵詞： 浮式結構物 、特徵函數展開方法 、階梯法 、張力腳平台
外文關鍵詞： EMM (eigen-function matching method), step method, floating structure, TLP (tension leg platform)
相關次數： 點閱：161  下載：4 
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    • 本研究求解波浪通過張力腳浮式平台之問題。求解時假設此張力腳之張力為一極大值，並只考慮波浪之水平方向運動(surge motion)，忽略垂直(heave motion)及轉動(roll motion)之作用力。本文討論波浪通過幾何形狀的浮式結構物後之反射率、透過率以及波浪之水平振幅的影響。本文以三角形、梯形及長方形三種形狀的浮式結構物分析結果互相比較。模式使用特徵函數契合方法 (Eigen-function matching method)求解描述波浪作用平台之運動方程式，此法又可稱為階梯近似法，此模式使用一半解析解，實用上計算速度快且精度可符合工程之要求之優點。本文計算結果與Lee and Lee (1993)來進行校驗，顯示合理之一致性。本文模擬結果呈現共振現象，與前人理論解的結果一致。

    In this study, characteristics of waves exerting on floating structures with tension leg is investigated. For convenience, we assume that the tension leg has a huge tension to anchor on the sea bottom. Following the preuious studies, the heave motion is assume to be small and neglected when compared with surge motion, wave motions over the floating structures in term of reflection coefficient, transmission coefficient and displacement are presented.
    The problem is solved using Eigen-function matching method (EMM) which is a semi- analytical solution. EMM has the adventage to provide efficient calculation without laborious numerical iteration. The present results are compared with the analytical solution of Lee and Lee (1993) and good agreement is found. Three different geometric shapes including triangular, trapezoid and rectangular are studied. The resonant performance of the floating structure is also presented in the present study.

    Table of Contents Abstract I 摘要 II Acknowledgment III Table of Contents IV List of Figures VI List of Tables X List of Acronyms XI List of Symbols XII Chapter 1 Introduction 1 1.1 Problem Statement 1 1.2 Literature Review 3 1.3 Contents of Thesis 9 Chapter 2 Theory and Numerical method 10 2.1 Governing equations and boundary conditions 10 2.2 Potential function 15 2.3 Combination of integral equation 17 2.4 Equations of structure motion 21 Chapter 3 Model verification 26 3.1 Number of mode for rectangular structure 26 3.2 Comparison of EMM method and Lee and Lee (1993) 28 Chapter 4 Model applications 32 4.1 Number of modes and shelves for trapezoid structure 32 4.2 Different shapes of floating structure scattering over flat bottom 36 4.3 Different shapes of floating structure with increasing width 42 4.4 Different shape floating structure with rectified bottom 48 4.5 Wave scattering different shapes of floating structure scattering sunken rectified bottom 55 4.6 Different shape structure of varying L with rectified bottom 59 Chapter 5 Conclusions and Suggestions 63 5.1 Conclusions 63 5.2 Suggestions 65 References 66 Appendix A. Integral formula 69

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