近年來，高層建築朝向輕量化與高柔度發展，使其於地震及其他動態載重作用下可能產生較顯著的振動反應。因此，如何提升結構振動控制效能已成為重要研究課題。傳統調諧質量阻尼器(Tuned Mass Damper， TMD)具有良好的減振效能，惟其控制效能與附加質量密切相關，於實際工程應用中常受到安裝空間、附加重量及結構承載能力等條件限制。為改善上述問題，本研究結合電磁式慣質阻尼器(Electromagnetic Inerter-based Damper， EMID)與傳統TMD，發展電磁式慣質調諧質量阻尼器(Electromagnetic Inerter-based Tuned Mass Damper， EMI-TMD)，藉由慣性放大效應與電磁阻尼可調機制，在有限附加質量下提升TMD系統之減振效能與能量轉換能力。 本研究首先建立EMID之理論模型，推導其等效慣質、電磁阻尼及能量轉換關係，並考慮既有阻尼對系統動態特性之影響，以建立完整之數學模型。接著，建立主結構與EMI-TMD所組成之三自由度耦合動力模型，透過頻率域分析，推導主結構位移、TMD衝程，並以 H₂ 範數作為最佳化目標函數，求得不同主結構阻尼比及附加質量比下EMI-TMD系統之最佳設計參數。接著，透過頻率響應分析、正弦波激振及地震歷時分析，評估EMI-TMD之振動控制效能，並與傳統TMD進行比較，以探討不同附加質量比對結構位移、加速度之影響。此外，針對EMID之阻尼力特性、力－位移遲滯行為及功率輸出進行分析，以評估其振動控制與能量轉換性能。 研究結果顯示，EMI-TMD能有效降低主結構之位移及加速度反應，並於不同質量比下均具有良好的減振效能。透過慣性放大效應與電磁阻尼機制，EMI-TMD可在有限附加質量下提升系統之振動控制能力，並兼具振動能量轉換功能。整體而言，本研究所提出之EMI-TMD具備應用於建築結構地震反應控制之潛力，研究成果可作為電磁慣質型振動控制系統後續設計與工程應用之參考。;Conventional tuned mass dampers (TMDs) have been widely adopted for mitigating structural vibrations induced by earthquakes and other dynamic excitations. However， their vibration control performance is often constrained by the required auxiliary mass， making practical implementation difficult in structures with limited installation space or strict weight restrictions. To overcome these limitations， this study proposes an Electromagnetic Inerter-based Tuned Mass Damper (EMI-TMD)， which integrates an Electromagnetic Inerter Damper (EMID) with a traditional TMD. By incorporating the inerter mechanism， electromagnetic damping， and energy harvesting capability， the proposed system simultaneously enhances vibration mitigation and enables the recovery of vibration energy. First， a theoretical model of the EMID is established by deriving the equivalent inertance， electromagnetic damping， and electromechanical energy conversion characteristics. Based on these formulations， a three-degree-of-freedom dynamic model of the coupled EMI-TMD structural system is developed. The H₂ norm is adopted as the optimization criterion to determine the optimal design parameters of EMI-TMD under different structural inherent damping ratios and auxiliary mass ratios. The effectiveness of the proposed EMI-TMD is evaluated through frequency-domain analysis， harmonic excitation， and seismic time-history simulations. Furthermore， the influences of different mass ratios on structural displacement， acceleration， RMS responses， hysteretic behavior， and energy dissipation are systematically investigated. The electromagnetic power generation and energy conversion efficiency of the EMID are also analyzed to evaluate the energy harvesting performance. The numerical results demonstrate that the proposed EMI-TMD effectively suppresses both structural displacement and acceleration under harmonic and seismic excitations. Increasing the auxiliary mass ratio generally improves the vibration mitigation performance， while the optimized design achieves a favorable balance between structural control effectiveness and practical implementation. In addition， the hysteretic responses indicate enhanced energy dissipation capability as the mass ratio increases. Overall， the proposed EMI-TMD not only provides superior vibration mitigation compared with conventional TMD systems but also possesses the capability of vibration energy harvesting. These characteristics make the proposed system a promising passive control device for future smart structures and sustainable structural vibration control applications.
