液流阻尼器之力-速度關係式可以F=c|v|^αsgn(v)式表示之，α=1時阻尼器表現出線性之力學關係；α<1或α>1時則為非線性之液流阻尼器。非線性液流阻尼器中，以速度指數項α<1者在較小速度時即產生較α=1及α>1阻尼器大之阻尼力，因此可更有效地降低結構振動。本研究以數值分析法於國家地震中心三層樓鋼結構實尺模型中安裝線性及非線性液流阻尼器為例，驗證比較線性與非線性液流阻尼器之減震效益。分析結果顯示非線性阻尼器中α<1者之減震效果不但較α=1及α>1阻尼器優異，且其所需之出力極限需求往往小於α=1及α>1阻尼器。

　　The force-velocity relationship for a damper can be expressed by the function
F=c|v|^αsgn(v)
whenα=1, the damper presents linear mechanical behavior; otherwise, whenα<1orα>1, the damper presents nonlinear mechanical behavior.
The nonlinear fluid dampersα<1 are considered to be more effective in reducing the seismic responses of the structures since they are able to generate relatively larger damping forces with respect the relatively smaller velocities.
In this study, stimulated cases of the benchmark three story steal frame of NCREE (National Center of Research for Earthquake Engineering) are controlled by installing linear and nonlinear dampers, and analyzed by numerical analysis technique to see which of the control policy is better. Results show that the structure installed with nonlinear dampers with α<1 provides move effective control efficiency, most of the examples show the control force needed in the case of α<1 dampers are installed in the structure is lower than the control force needed in the case ofα=1or α>1 dampers are installed in the structure when certain target control displacement is forced to be satisfied.

1.Scholl, R. E., “Improve the Earthquake Performance of Structures with Added Damping and Stiffness Elements,” Proceeding of the 4th U. S. National Conference on Earthquake, Palm Springs, California, 1990.
2.Chopra, Anil K., Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall, Upper Saddle River, N.J., 2001, Chapter 3.
3.黃震興、黃尹男、洪雅惠，「含非線性黏性阻尼器結構之減震試驗與分析」，國家地震工程研究中心報告NCREE-02-020，2002。
4.蔡克銓、羅俊雄、葉超雄、蘇晴茂，「建築物耐震規範示範例之研擬及規範條文之研修」，內政部建築研究所，臺北市，2003。
5.Chopra, Anil K., Dynamics of Structures: Theory and Applications to Earthquake Engineering, Prentice Hall, Upper Saddle River, N.J., 2001, Chapter 5.
6.Mahendra P. Singh, Luis M. Moreschi, “Optimal placement of dampers for passive response control,” Earthquake Engineering & Structural Dynamics, Vol. 31, Issue 4, April 2002, pp. 955-976
7.林錦隆，「半主動摩擦阻尼器於結構防震應用」，高雄第一科技大學營建工程系研究所碩 士論文，2001。