王(2007)以Lagrangian方式攝動解析下之三維短峰波波動流場解已求至第二階，本文為呈現出流場中之流體質點的運動週期，方可更逼真的描述出包括流體質點運動軌跡等之所有流場特性，故將王(2007)之結果擴展至第三階；同時更區別出短峰波發生的兩種方式，進而明確地說明其會出現共振現象的原因。
本文研究對三度空間的短峰波波動流場解析結果得知，流體質點隨著起始位置與位相的不同，都會有不同的運動軌跡，且隨著水深的不同，流體質點的運動週期亦會隨之改變；流體質點運動軌跡的這些特性已詳述於本文中。
於檢核本文結果的適足性上，成功的將短峰波解析結果退化至二度空間之單一前進波及駐波兩種特例情況，並與往昔學者之波形、波壓與流體質點的運動軌跡試驗比對，且說明了出現共振現象的原因，以及週波率之探討，這些都足以印證本文結果的正確性及一般性。

Three-dimensional short-crested waves in Lagrangian form was already solved by Wang(2007). By employing the technique of perturbation analysis, the solution for the entire wave filed was obtained and the results are verified to be correct to second-order. The period of the trajectory of fluid particle in short-crested wave field was manifested in Lagrangian form. Consequently, all the characteristics of the flow field can be vividly described including the moving trajectory of fluid particle. To distinguish two different ways that short-crested waves might take place, Wang(2007)’s results were extended to perturbation’s third-order. The mechanism of resonance phenomenon is then clearly explained.
In this study, the analytical results for the three-dimensional short-crested wave field correct to third-order were explicitly derived. The fluid particle with different initial positions or different phases has different moving trajectories. Besides, the period of the trajectory of fluid particle varies with different water depths. These are obviously revealed in our perturbation solutions.
The three-dimensional short-crested wave system is successfully verified by reducing to two special cases, two-dimensional progressive waves and standing waves. Also, the analytical results were compared with experimental data including the surface profiles, the pressures, and the paths of fluid particles for validation. Furthermore, the mechanism of resonance phenomenon and the property of angular frequency were explained. Thus, the exactness and generality of the results are firm certified.

中文摘要……………………………………………………………………...Ⅰ
英文摘要……………………………………………………………………...Ⅱ
目錄…………………………………………………………………………...Ⅲ
圖目錄………………………………………………………………………...Ⅴ
符號說明………………..………………………………………………......VIII
第一章 緒論…………………………………………………………………...1
1.1 研究目的………………………………………………………....1
1.2 文獻回顧…………………………………………………………2
1.3 本文組織架構……………………………………………………4
第二章 波動系統之描述……………………………………………………...5
2.1 短峰波..………...………...………………………………………5
2.2波動流場之基本控制方程式……………………………….……6
2.3波動流場的邊界條件…………………………………………...12
第三章 理論解析…………………………………………………………….16
3.1控制方程式解的形式…………………………….……………..16
3.2攝動解析解…………………………………….………………..29
3.2.1 第一階解…………………………………………………...30
3.2.2 第二階解…………………………………………………...32
3.2.3 第三階解…………………………………………………...43
第四章 驗證比較及特性描述……………………………………………….92
4.1 理論印證………………………………………………………..92
4.2 波形……………………………………………………………..99
4.3 流體質點的運動軌跡……………..…………………………..112
4.4 波壓……………………………………………………………120
4.5 共振……………………………………………………………128
4.6 短峰波流場中流體質點運動的週波率………………………129
第五章 結論與建議………………………………………………………...132
5.1 結論……………………………………………………………132
5.2 建議……………………………………………………………133
參考文獻…………………………………………………………………….134

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