黏彈性阻尼器安裝於建築結構中，於設計地震力、最大考量地震力或是更大之地震力下，可能使黏彈性阻尼器的變形超過或甚至遠大於其設計剪應變，進而造成黏彈性阻尼器內之黏彈性材料產生損壞，若於設計地震力、最大考量地震力或更大之地震力後有接續餘震，黏彈性阻尼器在損傷的情況下，是否仍能適度提供性能、控制結構反應，將為本研究之探討重點。
透過實尺寸黏彈性阻尼器進行循環加載試驗之試驗結果，將頻率、溫度與剪應變等影響其性能之因素，回歸識別出不同性能階段之分數微分模型，包括設計性能、超越設計性能與殘餘性能階段，並將其簡化為損傷前後之分數微分模型，以便安裝於建築結構中之分析。由預測模擬結果顯示，各性能階段下之分數微分模型，可細部模擬出黏彈應阻尼器受擾動頻率、環境溫度、阻尼器內部溫度造成之軟化、大變形軟化現象與高速率變形硬化現象等影響因素，且能夠約略掌握與保守地預測出黏彈性阻尼器之出力。
將一棟真實新建高層建築之立體複雜結構簡化為一棒狀模型，並以損傷前後之分數微分模型，來模擬安裝黏彈性阻尼器之真實力學行為，探討在大地震以及接續餘震下，損傷前後之黏彈性阻尼器於建築結構中之真實減震效益。由研究結果得知，黏彈性阻尼器雖於大地震中發生損壞，但仍能在大地震中與接續餘震中表現出超越設計與殘餘性能，對建築結構仍能提供適度之減震效益。

Under beyond design earthquakes, the shear deformation of viscoelastic (VE) dampers installed in a building structure might exceed or is even much larger than their nominal design range, thus leading to damage to the VE material. This study aims to discuss if damaged VE dampers can still provide suitable performance and effectively control structural responses during beyond design earthquakes and aftershocks.
Therefore, a series of tests with varied excitation frequency, temperature, and shear strain conditions on full-scale VE dampers were conducted. Based on the test results, different fractional derivative models which can represent the design, beyond design, and residual performances as well as pre‐damage and post-damage performances are identified.
A practical high-rise building structure equipped with VE dampers whose pre‐damage and post-damage performances are considered is numerically analyzed under major earthquakes and aftershocks. The numerical results indicate that although VE dampers are damaged during major earthquakes, they can still provide appropriate performances and effectively reduce structural responses during major earthquakes and aftershocks.

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