被動調諧質量阻尼器(TMD)乃實務廣為應用之振動控制裝置，但TMD對於頻率之去調諧效應十分敏感，且往往有衝程過大之疑慮；為同時減低衝程的需求並維持等值之控制成效，可藉由主動控制理論施加額外之控制力於TMD而為混合型質量阻尼器，或經由適當之控制機制調整TMD之特性而成為半主動質量阻尼器。本文藉由討論結構振動反應與系統能量之關係，推導出最小能量法(Least Energy Method，簡稱LEM)主動控制律，藉由槓桿式勁度可控質量阻尼器(Leverage-type Stiffness Controllable Mass Damper，簡稱LSCMD)，進行半主動質量阻尼器裝設於一般長週期結構及摩擦單擺隔震結構，於遠、近域地震作用下之振動控制成效研究，並與採用線性二次調節器(Linear Quadratic Regulator，簡稱LQR)控制律之LSCMD系統進行比較。經由數值模擬結果可知，一般長週期結構及摩擦單擺隔震結構，裝置LSCMD並採用LEM控制律皆有良好之控制成效，不但可改善採用LQR控制律時等值控制力易發散之缺陷，且LEM之控制成效更佳。

By observing the relationship between system energy and vibration responses subjected to earthquake loadings, the Least Energy Method (LEM) control algorithm is developed in this thesis. A novel Leverage-type Stiffness Controllable Mass Damper (LSCMD) adopted with the proposed LEM control law is equipped on a long-period regular building and an isolation building in this study to improve the performance of the conventional TMD by reducing its required stroke. By utilizing a simple leverage mechanism, the stiffness of the LSCMD can be easily controlled by adjusting the position of the pivot point on the leverage arm. In order to determine the on-line pivot position of the LSCMD, the proposed LEM is employed to adjust the pivot position instantaneously with seismic response to improve its control performance of passive mode. In order to demonstrate the control stability performance, it is also compared with the LSCMD controlled by traditional LQR control law. By investigating the response suppression performance of its passive counterpart and that controlled by LQR, the simulation results demonstrate that the LSCMD controlled by the proposed LEM control law can achieve better control performance and control stability with smaller stroke demand.

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