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研究生:黃國禎
研究生(外文):HUANG KUO CHEN
論文名稱:裝設調諧質量阻尼器結構在非彈性狀態之抗震效用
論文名稱(外文):Seismic Effectiveness of Tuned Mass Damper Mounted On Inelastic Structures
指導教授:翁駿民
指導教授(外文):Jin-Min Ueng
學位類別:碩士
校院名稱:國立中興大學
系所名稱:土木工程學系
學門:工程學門
學類:土木工程學類
論文種類:學術論文
論文出版年:2001
畢業學年度:89
語文別:中文
論文頁數:110
中文關鍵詞:非彈性非線性調諧質量阻尼器
外文關鍵詞:inelasticnonlinearTuned Mass Damper
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在外力為風力且為線性狀態下TMD的減振效果已獲得肯定,此可由現今世界上有裝設TMD結構物的觀察數據獲得印證,如:美國紐約之Citicorp Center、波士頓之John Hancock大樓、加拿大多倫多之CN Tower及澳洲雪梨的Sydeny Tower等。但當結構在承受地震力作用時,因其仍保持在線性狀態下的機率頗低;若進入非線性狀態時,TMD的功效是否仍能發揮,至今尚無明確定論。本文即以此作為研究的目的。
因此目的,本文設定:裝設TMD的單一自由度結構其勁度為完全彈塑性狀態。在此設定下當其承受地震力作用時,觀察TMD的減振效果。而用來觀察減振效果趨勢的數據是利用本文所開發的程式以求得當結構的降伏強度變化時,主結構相對地表最大位移(Xmax)、主結構遲滯能(Hysteretic Energy)及塑性化程度等行為參數相對其變化的數據。
根據所求得之數據趨勢,可知兩項主要的論點:『長週期結構的Ry值變化速率較短週期結構快速;且其Ry值的最大值也較大』和『在非線性狀態下,TMD在長週期結構的減振效果比在短週期結構較不明顯。』。此兩項論點可使吾人得知長週期結構裝設TMD的功效較不佳且其進入非線性的程度較深。

The effectiveness of Tuned Mass Damper (TMD) in vibration control of structures for serviceability condition under wind load has been widely recognized. However, its usefulness to suppress structural inelastic deformation under intensive earthquake excitations is not yet universally accepted. Therefore, the purpose of this study is to evaluate the effectiveness of TMD in control of inelastic structural deformation.
In this study, a SDOF TMD mounted on an SDOF inelastic structure, which the elastic-perfectly plastic material behavior is assumed, is investigated to realize its vibration control effectiveness under earthquake excitations of different intensity. The hysteretic energy and peak displacement of the inelastic structure under earthquake excitations are proposed to be the TMD performance index.
The results from numerical examples show that when structures undergone inelastic deformation the effectiveness of TMD is higher for structures with short period than that with long period.

誌謝……………………………………………………………………….i
中文摘要…………………………………………………………………ii
英文摘要………………………………………….….……….…………iii
目錄………………………...……………………………………………iv
表格目錄………………………………………………………………...vi
圖形目錄……………………………………………………..…………vii
第一章 緒論……………………………………………………………1
1.1 研究動機與目的………………………………………………..1
1.2 文獻回顧………………………………………………………..1
1.3 本文內容………………………………………………………..3
第二章 裝設TMD結構在非線性狀態下之動態特性………………5
2.0 前言……………………………………………………………..5
2.1 裝設TMD結構在非線性狀態下之運動方程式及
其數值解方法…………………………………………………..5
2.2 設計單一TMD的經驗公式方法介紹…………………………7
2.3 使用參數介紹…………………………………………………..9
第三章 裝設TMD結構在非線性狀態下受白噪音地震作
用之TMD減振效果…………………………………………12
3.0 前言……………………………………………………………12
3.1 數據研討………………………………………………………12
3.2 趨勢探討………………………………………………………18
第四章 裝設TMD結構在非線性狀態下受一般地震
作用之TMD減振效果………………………………….…..20
4.0 前言……………………………………………………………20
(Ι) EL Centro (1979,S40E)………..………………………………20
4.1 數據研討………………………………………………………20
(ΙΙ) 921集集-NCHU(1999,東西向)…………………….………..25
4.2 數據研討………………………………………………………25
第五章結論與建議…………………………………………………..28
參考文獻………………………………………………………………..30
表格……………………………………………………………………..32
圖形……………………………………………………………………..38

1. Den Hartog, J. P ., Mechanical Vibrations,4th edition, McGraw-Hill, New York(1956).
2. McNamara, R. J., “Tuned Mass Dampers for Buildings” ,Journal of the Structural Division, ASCE, Vol. 103,No. ST9, pp. 1785─1798 (1977).
3. Luft, R. W., “Optimal Tuned Mass Dampers for Buildings” ,Journal of the Structural Division, ASCE, Vol. 105, No. ST12, pp.2766─2772 (1979).
4. Wiesner, K. B., “Tuned Mass Dampers to Reduce Building Wind Motion” ,ASCE, Convention and Exposition, Boston, Mass., April 2─6 (1979).
5. Lin, C.C., Hu, C.M., Wang, J.F., Hu, R.Y., “Vibration Control Effectiveness of Passive Tuned Mass Dampers” ,Journal of the Chinese Institute of Engineers, Vol. 17, No. 3, May (1994).
6. Kaynia AM., Veneziano D., Biggs JM., “Seismic effectiveness of tuned mass dampers. Journal of Structural Division” , ASCE 1981; 107(8): 1465-1484.
7. Sladek JR., Klingner RE. “Effect of tuned-mass dampers on seismic. Journal of Structural Engineering”, ASCE 1983; 109(8): 2004-2009.
8. Jagadish KS., Prasad BKR., Rao PV., “The inelastic vibration absorber subjected to earthquake ground motions”, Earthquake Engineering and Structural Dynamics 1979; 7: 317-326.
9. Soto-Brito R., Ruiz SE., “Influence of ground motion intensity on the effectiveness of tuned mass dampers”, Earthquake Engineering and Structural Dynamics 1999; 28: 1255-1271.
10. Lukkunaprasit P., Wanitkorkul A., “Inelastic buildings with tuned mass dampers under moderate ground motions from distant earthquakes”, Earthquake Engineering and Structural Dynamics 2001; 30: 537-551.
11. Den Hartog JP. Mechanical Vibrations. McGraw-Hill: New York, 1956.
12. Newmark NM. A method of computation for structural dynamics. ASCE Journal of the Engineering Mechanics Division 1959;85:67-94.
13. Chopra AK., “Dynamics of structures:theroy and applications to earthquake engineering”,pp.155-185,Prentice-Hall(1995).
14. Den Hartog,J.P. Mechanical vibration, 4th edition, McGraw-Hill, New York.
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