本文主要是以向量式有限元素法二維剛架元理論，來分析剛架式海域結構物在波浪作用下之動力行為，並設計一套海洋結構物計算程序，來進行結構物在時間域的動力分析。本文中並探討黏彈性阻尼材料應用於海洋結構物中的情況，考慮阻尼材料的安置方式，進行動力分析，以瞭解加入阻尼材料後，不同尺寸及構件斷面的結構物的振動情形及減振效果。

A vector form intrinsic finite element method ( plane frame element ) is developed and applied to study the dynamic responses of offshore template platform under wave force. The horziontal, vertical and rotational motions at each node in the finite element model also were analyzed by the developed solution procedure of offshore structures. Besides, this paper also discussed the application of viscoelastic dampers on the offshore structures. A design for the dampers incorporated in the template structure were presented, and dynamic analyses were carried out to observe the effect of the vibration mitigation on the structures .

目錄 i
圖目錄 iii
表目錄 vii
中文摘要 viii
英文摘要 ix
誌謝 x
第一章 概論 1
1.1 前言 1
1.2 文獻回顧 2
1.3 研究方法及內容 4
第二章 向量有限元基本理論 7
2.1 基本假設及離散 7
2.2 共轉座標 8
2.3 剛架元節點內力、外力與質量 13
2.3.1 剛架元節點內力 13
2.3.2 剛架元節點外力 18
2.3.3 剛架元節點質量 18
2.4 運動方程式 20
2.5 顯式時間積分 21
2.6 計算步驟 23
第三章 海洋結構物之動力分析 28
3.1 有限元模型 28
3.2 外力項計算 28
3.3 波浪理論之引用 30
3.4 整體系統之動力分析 31
3.5 黏彈性阻尼材料的應用 33
第四章 數值計算與結果討論 43
4.1 向量有限元基本驗證 43
4.1.1 動力測試 43
4.1.2 靜力測試 44
4.2 靜力分析 45
4.3 動力分析 46
4.4.1 瞬時固定載重分析 47
4.4.2 波浪外力分析 47
4.4 加入阻尼材料之研究 48
第五章 結論與建議 81
5.1 結論 81
5.2 建議 82
參考文獻

1.Belytschko, T. and Hsieh, B. J.,“Non-linear Transient Finite Element Analysis with Convected Coordinates,”International Journal for Numerical Methods in Engineering, Vol.7, pp.255-271,1973.
2.C.A. Brebbia, S. Walker., Dynamic analysis of offshore structures, Newnes-Butterworths,1979.
3.Chopra, Anil K., Dynamics of Structure Theory and Applications to Earthquake Engineering, Prentice-Hall,2001.
4.Dean, Robert G., Water Wave Mechanics for Engineers and Scientists, World Scientific,1991.
5.Dawson and Thomas H., Offshore Structure Engineering, Prentice-Hall,1983.
6.Gere, James M., Machanics of Materials, 5th SI Edition, Brooks/Cole,2001.
7.H.G. Poulos., Marine Geotechnics, Academic Division of Unwin Hyman ,1983.
8.Kreig, R. D. and Key, S. W.,“Transient shell response by numerical time integration,”International Journal for Numerical Methods in Engineering, Vol.7, pp.273-286,1973.
9.Lee, H. H.,“Stochastic Analysis For Offshore Structures with Added Mechanical Dampers,”Ocean Engineering., Vol.24, pp. 817~834,1996.
10.Lee, H. H. and Tsai, C. S.,“Analytical Model of Viscoelastic Dampers for Seismic Mitigation of Structures,”Computers & Structures, Vol.50, No.1,pp.111-121,1994.
11.Lee, H. H.“A Preliminary Study for the Application of Viscoelastic Dampers in Offshore Structure”，第十六屆海洋工程研討會論文集,中國土木水利工程學會及海洋工程委員會pp.A407-A427,1999.
12.Mahmoodi, P.,“Structural Dampers,”J. Structural Div. ASCE 95,pp.1661-1667,1972.
13.Michael H.,Thomas M. and Gerard K.,“Modal Analysis of an Existing Offshore platform,” Engineering Structural, Vol.19, No.6,pp.487-498, 1997.
14.Malhotra, Anil K. and Penzien, J.,“Nondeterministic Analysis of Offshore Structures”Journal of the Engineering Mechanics Division, Proc. of ASCE, pp.985-1003,1970
15.Morison, J. R. M. P. O’Brien, J. W. Johnson and S.A. Schaaf, “Forces Exerted by Surface Wave in Piles, ”Petroleum Transactions, America Institute of Mining Engineering, Vol.189, pp.149-154,1950.
16.Paz, M., Structural Dynamics Theory and Computations, 3th Edition, Van Nostrand Reinhold,1985.
17.Reddy, J. N., An Introduction to the Finite Element Method, 2th Edition, McGraw-Hill, 1993.
18.Rice, D. L. and Ting, E. C.,“Large Displacement Transient Analysis of Flexible Structures,”International Journal for Numerical Methods in Engineering, Vol. 36, pp.1541-1562,1993.
19.Rice, D. L. and Ting, E. C.,“Fragmentation Algorithm for Finite Element Failure Simulation and Analysis,” Int. J. Num. Meth. Eng., Vol.36, pp.3859~3881,1993.
20.丁承先、石強、王永康，“向量式有限元的基本理論：(一)基本程序與平面剛架元分析”，國立中央大學及美國普渡大學土木系，近代工程計算論壇，2002。
21.湯麟武,港灣及海域工程（第二版），中國土木水利工程學會，1996。
22.巫瑞箕,“鋼架式海洋結構物之動力分析”，國立中山大學海洋環境及工程學系碩士班碩士論文，1995。
23.陳建延,“非彈性結構大變形動態分析之平行計算”，國立成功大學土木工程學系碩士學位論文，2002。
24.鍾沛穎,“大型海底管線為含VE 材料之複合殼結構時的動力行為分析”，國立中山大學海洋環境及工程所碩士論文，2001。