調諧質量阻尼器(Tuned Mass Damper)通常應用於高樓結構系統，對於調諧質量阻尼器設置在土木結構物上的研究主要以控制風力振動，較少探討當建築物承受地震後進入非線性的行為時，TMD是否提供正面的效益。因此，本研究探討對不同韌性需求之單自由度結構物之減震效能。
本研究以動力歷時方式進行結構分析，探討參數包括(1)結構物不同韌性需求(2)不同之十五個地震歷時(3)不同週期之結構(4)不同TMD週期比(5)不同質量比之TMD，進行模擬分析，並以主結構及阻尼器之反應比來探討減震之效果。
主要之研究成果如下：
(1)TMD之減震效果對彈性最佳，中度韌性結構物其次，對高韌性結構之效果不明顯。
(2)不同地震歷時下之消能有同樣之趨勢，但其結果變異性大。
(3)TMD和主結構的自然週期比值為1.1時，減震之結果最佳，其中主結構的自然週期為彈性階段時的週期。
(4)對不同週期之單自由度結構，大約以結構物週期為0.5秒之減震效果最佳。

ABSTRACT
The tuned mass damper (TMD)has been used on high rise building to control the wind induced vibration for the comfort of the residence. However, it hasn’t been used for reducing the seismic response of the nonlinear structures. Therefore, the study investigates the feasibility of applying tuned mass damper on nonlinear ductile structures for seismic resistance.

This study applies dynamic time history analysis on model structures to investigate the response reduction of the structure by the damper. The parameters studied are ductility of structure, fifteen earthquakes, periods of the structure, period ratio and mass ratio between the structure and damper.

For the seismic mitigation of the TMD or nonlinear structure. The results are:
1. It is affective for elastic structure, then for moderate-structure, and no apparent affect for high- ductility structure, and no apparent affect for high- ductility structure.
2. For different earthquake inputs, the same trend for mitigation exist, however the degrees are varies.
3. For TMD different period rate, the one with period ratio 1.1, appears to be posses the best ratio.
4. For single degree of freedom structure of different periods, it is useful to reduce the seismic response when the structure’s period is 0.5 second.

【1】James T. P. Yao. ''Concept of Structural Control''. Journal of the Structural Division. 1972;Vol. 98 No. 7:1567-74.
【2】H. Frahm. ''Device for Damping Vibrations of Bodies''. U S Patent No 989-958,1911.

【3】J.E. Brock. ''A note on the damped vibration absorbe''. Journal of Applied Mechanics ASME. 1946;Vol.13:pp.A-284.
【4】J. P. Den Hartog. ''Mechanical Vibrations''. 4PthP ed. New York: Mcgraw Hill,1956.
【5】G. B. Warburton. ''Optimal absorber parameters for various combinations of response and excitation parameters''. Journal of Earthquake Engineering and Structural Dynamics. 1982;Vol. 10:381-401.
【6】G.B. Warburton and E.O. Ayorinde. ''Optimum Absorber Parameters for Simple Systems''. Journal of Earthquake Engineering and Structural Dynamics. 1980;Vol. 8:197-217.
【7】Hsiang-Chuan Tsai and Guan-Cheng Lin. ''Optimum tuned-mass dampers for minimizing steady-state response of support-excited and damped systems''. Earthquake Engineering & Structural Dynamics. 1993;Vol. 22:957-73.
【8】T.T.Soong and Rahul Rana. ''Parametric study and simplified design of tuned mass dampers''. Journal of Earthquake Engineering and Structural Dynamics. 1998;Vol. 10:381-401.
【9】J.R. Sladek and R.E Klingner. ''Effect of Tuned-Mass Dampers on Seismic Response''. Journal of Structural Engineering. 1983;Vol. 109 no. 8:2004-9.
【10】K. S. Jagadish, B. K. Raghu Prasad, et al. ''The inelastic vibration absorber subjected to earthquake ground motions''. Earthquake Engineering & Structural Dynamics. 1979;Vol. 7:317-26.
【11】Ricardo Soto-Brito and Sonia E. Ruiz. ''Influence of ground motion intensity on the effectiveness of tuned mass dampers''. Earthquake Engineering & Structural Dynamics. 1999;28:1255-71.
【12】P. Lukkunaprasit and A. Wanitkorkul. ''Inelastic buildings with tuned mass dampers under moderate ground motions from distant earthquakes''. Journal of Earthquake Engineering and Structural Dynamics. 2001;Vol. 30:537-51.
【13】Masato Abe’. ''Tuned Mass Dampers for Structures with Bilinear Hysteresis''. Journal of Engineering Mechanics. 1996;Vol. 122 No. 8:797-800.
【14】K. Iwanami and K. Seto. ''Optimum Design of Tuned Mass Dampers and Their Effectiveness''. Proc of JSME(C). 1984;Vol. 50:44-52.
【15】Kangming Xu and Takeru Igusa. ''Dynamic characteristics of multiple substructures with closely spaced frequencies''. Earthquake Engineering & Structural Dynamics. 1992;21:1059-70.
【16】陳靖真. ''調質阻尼器於低樓層建築物之耐震應用硏究''. 碩士論文: 國立台灣科技大學營建所,2011.