曲面摩擦隔震支承(Friction pendulum bearing，FPB)能控制結構週期，且不會因為自重的改變或上部結構物損壞而改變整體週期 ，且其回復力與自重成正比能避免偏心問題，又保有穩定的自復位能力。但面對長週期的速度脈衝地震，在短時間內地表產稱大位移，此種地震易使FPB的位移過大，導致隔震層失效。面對此類狀況，本研究在隔震層中加裝各類減震器，包含線性黏滯阻尼器(Viscous Damper，VD)、慣質阻尼器(Inertial Mass Damper，IMD)、離合慣質阻尼器(Clutch Inerter Damper，CID) (統稱隔震組)，另一組機構為在主結構或隔震層加裝離合慣質調諧質量阻尼器(Turned Mass Damper-Clutching Inerter，TMDCI)、定慣質調諧質量阻尼器(Turned Mass Damper- Inerter，TMDI)、調諧質量阻尼器(Turned Mass Damper ，TMD )(統稱TMD隔震組)。
本研究探討各機構的歷時反應與消能方式，並使用具約束的多目標最佳化尋找最佳參數組合。其中，針對具CID機構中的離合反應與分離時慣質的運動做更深入的分析，以Newmark數值積分模擬慣質與結構的互制運動，發現過去不考慮慣質與結構互制效應的數值模型中，忽略的較多消能量與運動細節，導致模擬結果失真，且假設與理論矛盾。
本研究透過最佳化分析發現，在隔震組的比較中，曲面摩擦隔震支承與離合慣質阻尼器(FPB-CID)並聯至地表的機構與面摩擦隔震支承與線性黏滯阻尼器(FPB-VD)並聯至地表的機構效果較為接近，FPB-VD由於只有唯一解，相比FPB-CID有較多設計參數的選擇，且在消能效率方面勝過FPB-VD，故FPB-CID是最佳選擇。在TMD隔震組的比較中，於具曲面摩擦隔震支承結構中串聯一離合慣質調諧質量阻尼器至地表(Friction pendulum bearing with Turned Mass Damper-Clutching Inerter，TMDCI-FPB-R)是最佳選擇，因其在抑制最大上傳地震力與提升消能效率的表現較佳。

Friction pendulum bearing (FPB) are able to control the period of structures and maintain a constant overall period regardless of changes in self-weight or damage to the upper structure. They exhibit restoring force proportional to their self-weight, which helps mitigate eccentricity issues and ensures stable recentering capability. However, when subjected to long-period velocity pulse earthquake, which induce significant ground displacements in a short duration, FPB may experience excessive displacement leading to the failure of isolation. To address this issue, this study investigates the incorporation of various damping devices in the isolation layer, including viscous damper (VD), inertial mass damper (IMD), and clutch inerter dampers (CID) collectively referred to as the isolation group. Another set of mechanisms involves the installation of turned mass dampers (TMD) in the main structure or isolation layer, including turned mass damper-clutching inerter (TMDCI), turned mass damper-inerter (TMDI), and turned mass damper (TMD), collectively referred to as the TMD isolation group.

This research explores the temporal response and energy dissipation characteristics of each mechanism, employing constrained multi-objective optimization to identify the optimal parameter combinations. Specifically, a more in-depth analysis is conducted on the clutching response and inertial motion during separation in the CID mechanism. Newmark numerical integration is utilized to simulate the interaction between inertia and structure, revealing that neglecting the interaction effects between inertia and structure in previous numerical models resulted in significant energy dissipation omission and distorted simulation results, which contradicted assumptions and theories.

Through the optimization analysis, this study finds that among the isolation groups, the performance of combining FPB and CID mechanisms (FPB-CID) in parallel with the ground is comparable to that of combining FPB and VD mechanisms (FPB-VD) in parallel with the ground. Due to its unique solution, FPB-VD provides more choices for design parameters compared to FPB-CID, but FPB-CID outperforms FPB-VD in terms of energy dissipation efficiency, making it the optimal choice. In the comparison of the TMD isolation group, the configuration that serially connects a clutching inerter turned mass damper to the ground in structures with FPB (Friction pendulum bearing with Turned Mass Damper-Clutching Inerter, TMDCI-FPB-R) exhibits superior performance in suppressing the maximum transmitted seismic force and enhancing energy dissipation efficiency.

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