本文主要是以有限差分法所建立之二維數值水槽，附加在RC結構物上面，並假設水槽內為無黏性之不可壓縮流且無碎波及朔升的現象。探討當複合水槽結構物受地震或波浪等外力作用下，由於水槽內部流體的液態擺盪現象，在左右兩側壁面上之動態水壓力不同，所引致的擺\盪力（sloshing force）對於結構物的影響，並對於不同設計需求的複合水槽結構物，以實際的例子來進行分析液體擺盪力與結構物運動的測試。本研究主要目的，為使RC結構物會因為附加上水槽之後會有增幅能量效果，以此將波浪能源轉換為可運用的機械能，並且可以由模式結果得知複合水槽結構物的自然振動頻率，作為設計的參數，這在水工模型實驗中較難取得。

In the present study, a fully nonlinear 2-D finite difference scheme has been developed based on inviscid and incompressible flow in a rectangular tank. The rectangular tank is coupled to a linear elastic-supported structure made up by reinforced concrete. Wave breaking and run-up are not considered in the present numerical model due to the free surface is assumed as a single-value function. The main purpose of this study is to analyze interactions between sloshing forces generated by system vibrations and structure motions. The accuracy of present study is made by comparing to other reported numerical results and the consequence shows well agreement. The present study can be applied for designing various combinations of coupled structure systems for different necessity. The analyses of practical examples are also presented in this study. The present numerical model can provide a quick and accurate way on determining the natural frequencies of connecting fluid-structure system and this is hard to identify through experiment.

論文口試委員審定書
誌謝
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 概論
1.1 前言……………………………………………………………………1-1
1.2 文獻回顧………………………………………………………………1-4
1.3 研究目的………………………………………………………………1-7
第二章 計算流場數值模式
2.1 基本假設………………………………………………………………2-1
2.2 問題描述………………………………………………………………2-2
2.3 控制方程式……………………………………………………………2-2
2.4 邊界條件………………………………………………………………2-3
2.4.1自由液面邊界條件 (Dirichlet B.C.)……………………………2-4
2.4.2固、液面邊界條件 (Neumann B.C.)……………………………2-5
2.5 座標轉換………………………………………………………………2-6
2.6 無因次化控制方程式…………………………………………………2-9
第三章 有限差分數值計算模式
3.1 控制方程式之離散化…………………………………………………3-1
3.2 數值計算流程…………………………………………………………3-6
3.3 穩定分析………………………………………………………………3-7
第四章 複合水槽結構物（Tank-Rc System）之運動分析
4.1 理論分析方法…………………………………………………………4-1
4.2 Runge-Kutta 法……………………………………………………… 4-3
4.3 求解動態系統之數值方法驗證………………………………………4-8
第五章 結果與討論
5.1.1 數值水槽模式驗證…………………………………………………5-1
5.1.2 網格與時距大小之選擇……………………………………………5-3
5.2 Tank – RC system 減震功能之討論……………………………… 5-9
5.3 複合水槽結構物能量守恆之討論……………………………… 5-15
5.4 波浪功能轉換之討論…………………………………………… 5-18
5.4.1 阻尼震盪（damping oscillator）…………………………… 5-18
5.4.2 浮式複合水槽結構物擺盪分析………………………………5-21
第六章 結論與建議
6.1 結論……………………………………………………………………6-1
6.2 建議……………………………………………………………………6-2
參考文獻
附錄A 紐馬克數值分析法 Newmark method

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