本文旨在研究質塊阻尼器於不同串聯型式下之動力分析。本研究首先推導諧調質塊阻尼器之穩態解析解，利用主結構承受地表餘弦運動作為分析其振幅對於外力之反應；研究進一步將調諧質塊阻尼器以不同方式做耦合形成主系統與次系統，並分析此改良之多點串聯調諧質塊阻尼器對於主結構承受地表餘弦運動下振幅之影響，最後再以美國洛杉磯北嶺地震、日本阪神地震、台灣921集集地震，分析出此多點串聯調諧質塊阻尼器之可行性。研究結果顯示出多點串聯調諧質塊阻尼器可藉由調整質量比、阻尼比與頻率比，相較於傳統調諧質塊阻尼器更能有效降低主結構振幅，達到結構物減震的目的。

The thesis discusses the dynamic responses analysis of TMD under different forms of series connection. An analytic steady-state solution of conventional TMD was first derived. The derived solution was based on the mass ratio, damping ratio and frequency ratio between TMD and the main structure. A new TMD system, referred to as the Multiply-Connected Tuned Mass Damper (MCTMD), is then developed wherein the spring connection of the conventional TMD was slightly rearranged so to form a coupled primary-secondary system. The amplitude responses of the MCTMD primary structure are analyzed. Finally, the Northridge earthquake in Los Angeles, USA, the Takobe earthquake in Japan, Taiwan 921 Chi-Chi earthquake, analyze the feasibility of a multiply- Connected tuned mass damper. The result shows that by adjusting mass ratio, damping ratio and frequency ratio, the amplitude of primary structure can be effectively reduced under sinusoidal base excitations.

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