本研究針對主動式調諧質量阻尼器(ATMD)，創新提出相位控制之主動控制律，且由結構回饋之量測值不同，分為「主動式相位控制律－結構位移回饋」(PCD)與「主動式相位控制律－結構絕對加速度回饋」(PCA)，從而研發出主動式相位控制調諧質量阻尼器(PC-ATMD)，並以單自由度結構加裝PC-ATMD案例進行各項值數值模擬，探討其減振效益與特性，最後以單自由度構架試體振動台實驗進行驗證。本研究所提出之主動式相位控制調諧質量阻尼器(PC-ATMD)，是於調諧質量阻尼器(TMD)與結構間施加控制力，其可即時調整調諧質量阻尼器之運動軌跡，使調諧質量阻尼器盡量保持與結構有 度相位差，因此調諧質量阻尼器將有最大之能量流(Power Flow)，而有最佳之減振效果，且可避免TMD吸收之能量又傳回結構。研究結果表明，無論由頻率反應函數、動力歷時分析或振動台實驗皆可得出，PC-ATMD具有優異之減振效果，可有效降低地震力作用下之結構位移與加速度反應，且遠優於傳統被動式TMD。而與全狀態回饋之線性二次調節控制器(LQR)相比，PC-ATMD之減振效果與所需控制力皆可媲美，但量測數量可大幅減少，不需全狀態回饋；如為結構位移回饋之PCD-ATMD，僅需量測質量塊之相對速度及結構位移；如為結構絕對加速度回饋之PCA-ATMD，僅需量測質量塊之相對速度及結構絕對加速度。另外，主動控制實行時須確保系統之穩定，由系統穩定性分析可以得知，PCD-ATMD與PCA-ATMD皆為穩定可控之系統，且兩者之回饋增益參數對減振效果影響並不敏感，顯示本控制律具有良好之強健性。;The present study aims at proposing innovative phase control methodologies for the active tuned mass damper (ATMD). The phase control active tuned mass damper (PC-ATMD) is first developed. According to the difference of measurement feedback, the phase control algorithm has two different types, phase control - displacement feedback (PCD) and phase control - abs. acceleration feedback (PCA). The essential of the phase control algorithm is to apply the control force between the tuned mass damper (TMD) and the structure to adjust the trajectory of the TMD in real time, so that the TMD can maintain a phase lag of 90 degrees with the structure as much as possible. Therefore, the TMD will have the maximum power flow and the best performance of vibration reduction. Moreover, the proposed phase control algorithm can also prevent the energy absorbed by the TMD from flowing back to the structure. To demonstrate the effectiveness of the proposed phase control algorithm, a single-degree-of-freedom structure equipped with an ATMD is investigated by numerical analysis and verified by shaking table experiments. The results show that the performance of vibration reduction and the control force requirement of PC-ATMD are as well as LQR-ATMD(linear-quadratic regulator). Besides, PC-ATMD doesn′t need full state feedback. For instance, PCD-ATMD only needs to measure the relative velocity of TMD and structural displacement and PCA-ATMD only needs to measure the relative velocity of TMD and structural absolute acceleration. In addition, the system stability analysis shows that both PCD-ATMD and PCA-ATMD are stable systems. Furthermore, the feedback gain parameters are not sensitive to the vibration reduction, showing that the phase control algorithm has remarkable robustness.
