本研究主要是以頻譜分析的方式，探討繫纜式浮體結構物在波浪力作用下的動力行為，以及其裝設調諧液柱阻尼器(TLCD)之後的減振效果，並探討結構物各項參數對其本身運動的影響，針對TLCD質量比及寬長比亦有完整之比較。最後設計一水工模型實驗來驗證理論推導之準確性。
由分析結果發現，浮體結構之重量、浮桶之直徑、浮體吃水深、浮體寬度等參數對結構物之共振頻率和振幅都會造成影響。結構附加TLCD後，其振幅會明顯減小，顯示TLCD確實可以減少結構物振動。若增加TLCD寬長比，其減振效果會明顯提昇，但應避免過大的振動改變液柱形狀；若固定TLCD與結構物之質量比，則不論其內液體為何，減振效能並無太大差異。而將水工模型實驗的結果與理論推導的結果相印證，實驗值與理論值頗為吻合。

In this thesis , the response of tension leg platform（TLP）subjected to wave force is studied by means of an analytical stochastic technique. The effectiveness of tuned liquid column damper（TLCD）and the effectiveness of various parameters to the TLP is discussed. Also an experiment study is used to check the analytical solution.
Analytical solution show that all the parameters including the mass of the platform, the diameter of the floating barrel, the draft of the platform and the dimension of the platform will affect the TLP’s resonant frequency and amplitude. When the TLCD is applied, the peak value is reduced for the surge and heave response spectrum generally, but the peak value of the pitch response spectrum is sometimes increased. The effectiveness of TLCD becomes more significant when the width-length ratio is increased. If the mass of TLCD is constant, the effectiveness of TLCD will be the same no matter water or mercury is injected into. Comparing the analytical solution with that from experiments, the results show reasonable consistence in trend.

中文摘要
英文摘要
目錄 I
圖目錄 IV
符號說明 VII
第一章 緒論 1
1.1 研究目的與背景 1
1.2 文獻回顧 2
1.2.1繫纜式浮體結構物 2
1.2.2調諧液柱阻尼器 3
1.3 本文架構 4
第二章 繫纜式浮體結構物運動理論 6
2.1 一般浮體運動方程式 6
2.1.1 質量矩陣 6
2.1.2 勁度矩陣 7
2.1.3 阻尼矩陣 9
2.1.4 外力項之計算 9
2.2頻率域之動力分析 13
2.2.1 振態疊加法之應用 13
2.2.2 複數頻率反應函數 15
2.2.3 波浪作用力頻譜及反應頻譜 16
第三章 裝置調諧液柱阻尼器浮體結構物運動解析 24
3.1 外力項之計算 27
3.2 結構附加TLCD後之複數頻率反應函數 28
3.3 結構附加TLCD後之波浪作用力頻譜及反應頻譜 30
第四章 浮體結構物裝設TLCD前後之運動結果與討論 34
4.1 外在條件之給定 34
4.1.1 波浪頻譜與波浪力頻譜 34
4.1.2 繫纜繩之選定 35
4.2 TLCD裝置於浮體結構物之減振分析 35
4.2.1 不同吃水深之影響 35
4.2.2 浮體結構質量之影響 37
4.2.3 浮筒直徑之影響 39
4.2.4 浮台寬度之影響 40
4.3 TLCD質量比之影響 42
4.4 TLCD液柱寬長比之影響 43
第五章 水工模型實驗 80
5.1 實驗儀器與設備 80
5.2 實驗佈置 81
5.2.1 結構模型 81
5.2.2 TLCD模型 81
5.3 試驗條件 81
5.4 實驗數據分析 82
5.4.1 繫纜繩彈性係數測試 82
5.5 實驗結果與討論 82
5.5.1 實驗結果與理論值之比較 82
5.5.2 實驗現象與理論描述之差異 83
第六章 綜合結論與建議 91
6.1 結論 91
6.2 建議 93
參考文獻 94
附錄A 99
附錄B 101
附錄C 103
附錄D 105
附錄E 107

Abdel-Rohman, M. (1984).” Optimal design of active TMD for building
control”, Building and Environment, 19, 1911-195.

Bathe, K. J.（1982）. “Finite Element Procedures in Engineering Analysis”,
Prentice-Hall, Inc., Englewood Cliffs, New Jersey.

Balendra, T., Wang, C. M. and Cheong, H. F. (1995). “Effectiveness of tuned
liquid column dampers for vibration control of towers.”, Engineering
Structures, 17, 668-675.

Black, J. L. and Mei, C.C. (1969). “Scattering of surface waves by rectangular
obstacles in water of finite depth”,Journal of Fluid Mechanics, 38, 499-511.

Black, J. L., Mei, C.C. and Bray, M. C. G., (1971). “Radiation and scattering of
water waves by rigid bodies”, Journal of Fluid Mechanics, 46, 151-164.

Borgman, L. E. (1965). A statical theory for hydrodynamic forces on objects.
Wave Research Project Report HEL-9-6, UC, Berkeley, CA.

Chaiseri P., Fujino Y., Pacheco B. M. and Sun L. M.(1989). “Interaction of
tuned liquid damper (TLD) and structure : theory, experimental verification
and application”, Structural Engineering and Earthquake Engineering, 6,
273-282.

Chang, C.-C., Hsu, C. T. and Swei, S. M. (1998). “Control of buildings using
single and multiple tuned liquid column dampers”, Earthquake
Engineering and Structural Dynamics, 23, 388-417.

Crandal, S. H. and Mark, W. D. (1973). “Random vibration in mechanical
systems”, Academic Press, Inc., San Diago, Calif.

Fujino, Y., Pacheco, B. M., Chaiseri, P. and Sun, L. M. (1988). ” Parametric
studies on tuned liquid damper (TLD) using circular containers by free-
oscillation experiments”, Structural Engineering and Earthquake
Engineering, 5, 381-391.

Fujino, Y., Sun, L. M. and Pacheco B. M. (1992). “Tuned Liquid Damper
(TLD) for suppressing horizontal motion of structures”, Journal of
Engineering Mechanics, 118, 2017-2030.

Fujino, Y. and Sun, L. M. (1993). “Vibration control by multiple tuned liquid
dampers (MTLDs)”, Journal of Structural Engineering, 119, 3482-3502.

Gao, H. and Kwok, K. C. S. (1997). “Optimization of tuned liquid column
dampers”, Engineering Structures, 19, 476-486.

Garrison, C. J. (1974). “Dynamic response of floating bodies”, OTC, 2067,
365-378.

Hitchcock, P. A., Kwok, K. C. S., Watkins, R. D. and Samali, B. (1997).
“Characteristics of liquid column vibration absorbers (LCVA) – I ”,
Engineering Structures, 19, 126-134.

Hitchcock, P. A., Kwok, K. C. S., Watkins, R. D. and Samali, B. (1997).
“Characteristics of liquid column vibration absorbers (LCVA) – II ”,
Engineering Structures, 19, 135-144.

Isaacson, M.（1979）. “Nonlinear inertia forces on bodies”, Journal of the
Waterways and Harbors Division, ASCE WW3,213-227.

Jain, A. K.（1997）.“Nonlinear coupled response of offshore tension leg
platform to regular wave forces”, Ocean Engineering, Vol .24, No.7, pp. 577 ~529.

Kareem, A. and Kline, S. (1995). “Performance of multiple mass dampers
under random loadings”, Journal of Structural Control, 3-5, FP5-19-FP5-
28.

Lee, C.-P. and Lee, J.-F. (1993). “Wave induced surge motion of a tension leg
structure”, Ocean Engineering, 20, 171-186.

Lee, C.P. （1994）. “Dragged surge motion of a Tension Leg Structure”, Ocean
Engineering, 21,311-328.

Lee, H.-H., Wang, P.-W. and Lee, C.-P.（1999）. “Dragged surge motion of
tension leg platforms and strained elastic tethers”, Ocean
Engineering.26,pp.575-594.

Lee, H.-H.,（1997）. “Stochastic analysis for offshore structures with added
mechanical dampers”, Ocean Engineering, Vol. 24,No.9,pp.817~834.

Lee, H.-H., Wang, W.-S. and Wang, P.-W.（1999）.“Dynamic motion of TLP
with wave-large body and wave-small body interaction”, Proceeding of the
Ninth International Offshore and Polar Engineering Conference, France, pp. 309~314.

Luft, R. W. (1979). “Optimal tuned mass dampers for buildings”, Journal of
Structural Division, ASCE, 105, 2766-2772.

Mei, C. C. (1978). “Numerical methods in water waves diffraction and
radiation”, Ann. Rev. Fluid Mech., 10, 393.

Morgan, J. R. and Malaeb, D.（1983）.“Dynamic analysis of tension leg
platforms”. Proceeding of the Second International Offshore Mechanics and Arctic Engineering Symposium. U.S.A., paper no. 4, pp.31~37

Newman, J. N.（1977）. Marine Hydrodynamics. MIT Press, Cambridge, MA.

Penzine, J. and Tseng, S.（1978）. “Three-dimensional dynamic analysis of
fixed offshore platform”, In Numerical Methods in Offshore Engineering, ed. O. C.Zienkiewicz, R. W. Lewis, And K. G. Stagg. John Wiley And Sons, New York, 221-243.

Peter, J. V. (1995). “Wind-induced response of tension leg platform: theory and
experiment”, Journal of Structural Engineering, 121, 651-663.

Pierson, W. J. and Moskowitz, L. (1964). “A proposed spectral form for fully
developed wind seas based on the similarity theory of S. A. Kitaigorodskii”, Journal of Geophysical Research, 69, 5181-5190.

Roy, R. Craig, Jr.（1981）.“Structural Dynamic”. John Wiley ＆ Sons, Inc.

Sakai F., Takaeda S. and Tamaki T. (1989). “Tuned liquid column damper –
new type device for suppression of building vibrations”, Proceedings of
International Conference on Highrise Buildings, 926-931.

Sarpkaya, T. and Isaacson, M. (1981). Mechanics of Wave Forces on Offshore
Structures. Van Nostrand Reinhold, New York.

Sun, K., Cheong, H.F. and Balendra, T.（1993）. “Effect of liquid dampers on
along-wind response of structures”, Proceedings of the Asia-Pacific
Vibration Conference ’93, Kitakyushu,Nov.1993, Symposium on FIVES,
835-840.

Wen, Y. K.（1980）. “Equivalent linearization for hysteretic systems under
random excitation”, Journal of Applied Mechanics, 47, 150-154.

Won, A. Y. J., Piers J. A. and Haroun, M. A. (1996). “Stochastic seismic
performance evaluation of tuned liquid column dampers”, Earthquake
Engineering and Structural Dynamics, 25, 1259-1274.

Xu, Y. L., Samali, B. and Kwok, K. C. S. (1992). ”Control of along-wind
response of structures by mass and liquid dampers”, Journal of Engineering Mechanics, 118, 20-39.

Yilmaz, O. and Incecik, A. (1996). “Hydrodynamic design of moored floating
platforms”, Marine Structures, 9, 545-575.

王姵文, (1997). “繫纜式浮體結構在波浪作用下之動力行為分析”, 中山大
學海洋環境系碩士論文.

李任翔,（1999）. “調諧液柱阻尼器於繫纜式浮體結構之應用”,中山大學
海洋環境及工程學系碩士論文

林威宏,(1997). “含流動液體之阻尼器對結構的減振效應”,成功大學水利及
海洋工程研究所碩士論文.