斜面式滾動隔震支承在過去的文獻以及研究中，已證實可明顯減少震動傳遞以及有效的保護上方對於加速度敏感之標的物，但目前鮮少文獻針對斜面式滾動隔震支承之數值模型以及數值分析模擬進行完整探討。因此，本研究將依據過去經驗進行實體改良，在考慮不同設計參數條件下，進行完整且廣義的斜面式滾動隔震支承理論分析與探討，提出可準確模擬斜面式滾動隔震支承動力行為之數值分析模型，以及開發相應之數值模擬分析程式，此外，為使本隔震支承於小、中、大地震或近斷層地震需求下具備不同性能設計，提出被動式即時可變阻尼的概念於斜面式滾動隔震支承，亦建立可變阻尼力學行為之數值分析模型，而後，進行一系列之振動台試驗，驗證斜面式滾動隔震支承數值模型以及即時可變阻尼概念在小、中、大地震下之可行性。而後根據以上結果，提出多角度斜面式滾動隔震支承的設計概念。研究與試驗結果顯示，透過運動方程式所建立之數值分析模型，可以準確提出設計參數與絕對加速度之間的關係，而相應之數值分析程式亦可準確模擬斜面式滾動隔震支承之受震歷時行為。而即時可變阻尼機制經過驗證後證實可行。此外，根據以上結果，所提出之多角度斜面式滾動隔震支承，經過數值分析程式模擬後，證實比傳統單斜面式具有更加良好的隔震性能。建議可以針對多角度斜面式滾動隔震支承，利用本研究所建立之數值分析程式，進行後續參數研究與實體設計，提出明確之設計流程以及設計方法。

In past research, the sloped rolling-type isolation devices have been proved to be effective in protecting equipment against seismic loading. This is particularly significant for the equipment whose seismic performance relies mainly on its maximum acceleration response, due to the fact that the maximum acceleration transmitted by this isolation device can be designed to be a constant regardless of the excitation intensity. However, it is insufficient in the past research regarding the detailed description on the mechanical characteristics and the associated analytical model of the isolation device. It is therefore one of the objectives of the study to derive the equation of motion of equipment isolated by the device. For doing so, equilibrium equations are derived from a detailed free body diagram of the isolation device. From the equations, the detailed mechanical behavior of the device are clearly identified and described. For solving the equation of motion, an analytical model considering various stages of the rolling motion of the device is then developed. The analytical results are then compared with those determined from a simulated model deduced from available element models of SAP2000. In addition, the analysis results are also compared with experimental results from shaking table tests. From the comparison, it is concluded that the analytical model is superior in capturing the seismic responses of the isolated equipment by the sloped rolling device while the model deduced from the element models of SAP2000 which possesses a great popularity of practical applications around the world can also deduce satisfactory results. Moreover, in order to possibly limit the seismic displacement responses of the isolation device, a friction damping mechanism is also implemented to the device to increase the energy dissipation capacity of the device. Furthermore, the concepts of multi-sloped rolling isolation devices and variable friction damping mechanism are also proposed and realized in the study. The associated mechanical behavior and seismic response control capability are also investigated analytically.

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