本研究針對相位控制之主動式調諧質量尼器(Phase Control – Active Tuned Mass Damper, PC-ATMD)應用於多自由度結構進行驗證。其中相位控制律，由結構回饋之量測值分為「結構位移回饋之相位控制」與「結構絕對加速度回饋之相位控制」，而發展結構位移回饋之相位控制主動調諧質量阻尼器(Phase Control Displacement feedback – Active Tuned Mass Damper, PCD-ATMD)與結構絕對加速度回饋之相位控制主動調諧質量阻尼器(Phase Control abs. Acceleration feedback – Active Tuned Mass Damper, PCA-ATMD)，接著以多自由度結構加裝PC-ATMD案例情況，進行各項數值模擬分析，探討各情況之減振效果及特性，並以多自由度構架試體振動台實驗進行驗證。相位控制之主動調諧質量阻尼器，是於調諧質量阻尼器與結構間施加控制力，並可即時調整調諧質量阻尼器之運動，使調諧質量阻尼器與結構保持-90度相位差，調諧質量阻尼器也擁有最大能量流(Power Flow)，因此有最佳之減振效果。多自由度結構加裝PC-ATMD之分析與實驗結果表明，從結構頻率反應函數與地震力作用下之結構歷時反應，皆有良好之減振效果，而其量測數量少，不需全狀態回饋且效果與線性二次控制器(Linear Quadratic Regulator, LQR)有相當之減振效果。另外由敏感度分析中，PCD-ATMD和PCA-ATMD之設計增益參數變化對結構之減振效果影響較不明顯；而在系統穩定度分析說明，在一定範圍內兩者皆為穩定可控制之系統，顯示兩者之控制方法皆有強健性。

The purpose of this research is to verify the application of the phase control tuned mass dampers (PC-ATMDs) implemented on multiple degrees of freedom structure. The essential of the PC-ATMD is to apply control force between the tuning mass and the structure, so that the PC-ATMD can achieve a 90-degree phase lag of structure to induce maximum power flow resulting in outstanding vibration reduction capability. Base on the difference of measurement signal feedback from the structure, the displacement feedback or the absolute acceleration feedback, the PC-ATMD can be further distinguished as Phase Control Displacement feedback-Active Tuned Mass Damper (PCD-ATMD) and Phase Control absolute Acceleration feedback-Active Tuned Mass Damper (PCA-ATMD). The numerical simulation results show that the PCD-ATMD and PCA-ATMD has excellent performance on structural vibration reduction in both frequency domain and time domain analysis, and then the shaking table experiment is conducted by using a 3-stories shear building frame incorporated with the PCD-ATMD or PCA-ATMD to verify the performance regarding the structural vibration reduction. Moreover, the PC-ATMD is comparable with conventional linear-quadratic-regulator (LQR) controlled ATMD but full state feedback measurement of the entire system or system observer is not required. The sensitivity and stability analysis also shows that the variation of gain parameters of PCD-ATMD or PCA-ATMD in a certain range is durable and stable. Hence, both of the active phase control algorithms are robust.

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