對於二維自由表面規則前進波傳遞於不規則底床時，其流場以及受底床所產生的底床效應，本文將以異中求同的統計方法引進波譜分析之概念，利用地形譜求出底床不同的組成成份以形成類似傅利葉底床之形式，接著引用單一波形底床理論求得各成份波形底床影響量至攝動第二階，再經由線性疊加後得到不規則底床之總體底床效應之影響量；同時，因不同的地形譜會產生不同的譜寬寬度和底床影響量，由此二者建立函數關係成為一套預測模式，而有系統地得到一系列不同之不規則底床其影響量的預測值，並可延伸應用至工程設計。

For the 2-D system of wave motion, consider a free surface progressive gravity wave train propagating over a random ripple seabed and there will be an interaction between surface wave and seabed. By spectrum analysis, getting the components of ripple seabed to make a Fourier form and a perturbation expansion procedure will be developed to second order to solve the flow field. Because the different type of spectrum will make different ripple seabed, the affect made by components of ripple seabed will change with the type and it’s bandwidth, and the resoults predicted in model of this paper can become systematic .It is helpful for design of engineer.

中文摘要……………………………………………………………………….II
英文摘要……………………………………………………………………...III
圖目錄………………………………………………………………………...IV
符號說明……………………………………………………………………XIII
第一章 緒論…………………………………………………………………...1
1.1 研究目的………………………………………………………....1
1.2 文獻回顧…………………………………………………………2
1.3 本文的研究方式…………………………………………………4
1.4 本文組織架構……………………………………………………5
第二章 波動系統之描述……………………………………………………...6
2.1 波動流場的基本控制方程式……………………………………6
2.2 波動流場的邊界條件……………………………………………7
第三章 理論解析……………………………………………………………...9
3.1 第一階解………………………………………………………..13
3.2 第二階解………………………………………………………..14
3.3 地形譜帶寬曲線………………………………………………..19
第四章 應用與比較及特性分析…………………………………………….25
4.1 理論驗證………………………………………………………..25
4.2 實際應用………………………………………………………..25
第五章 結論與建議………………………………………………………….82
5.1 結論……………………………………………………………..82
5.2 建議……………………………………………………………..85
參考文獻……………………………………………………………………...86
附錄…………………………………………………………………………...89

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