傳統斜面滾動隔震支承因其斜面滾動的力學行為，可保持傳遞加速度為定值，使上部結構受到良好的保護，然其隔震位移控制仍有改善空間。因此，前人研究將慣質機構及離合器應用於傳統斜面滾動隔震支承，進一步提出具離合器慣質設計之斜面滾動隔震支承(sloped rolling-type bearings combined with clutch-based inerter, SRBI)，經數值分析結果可知，結合慣質機構可有效抑制隔震位移的需求。本研究將延續前人研究成果，進一步對分析模型進行改良並透過試驗進行驗證。研究內容主要分為分析模型建立、數值模擬、性能試驗、以及實際機台試驗四個部分。
第一部分為分析模型建立與能量方程式探討。過去相關研究提出基於離合器在理想狀況下的分析模型，然而，當SRBI在實際作動時慣值機構中的離合器會引發速差效應，使得相應的數值擬合結果不夠精確且保守。為了改善此現象，本研究提出結合速差模型，以更嚴謹的數學條件來確定慣質力實際產生的時機，從而提高分析模型的準確性與保守性。同時，考慮慣值機構產生的慣質能，本研究提出相應的能量方程式，以更全面地探討SRBI的能量反應。
第二部分為數值模擬，透過以單頻正弦波作為輸入擾動，並對分析模型中各參數進行調整，進一步分析不同參數對隔震性能與能量的影響。除了正弦波外，同時以遠域和近斷層地震歷時作為輸入擾動，藉由性能評估指標量化地震擾動下分析模型的數值模擬結果，探討SRBI於不同地震擾動下的表現。
第三部分為性能試驗，以不同上部質量作為設計參數，從而瞭解不同慣質力之實際影響。此外，藉由試驗與數值模擬結果的比對，以決定係數作為評估指標識別各參數，並進一步探討分析模型於不同擾動下之擬合表現。
第四部分為實際機台試驗，試驗將於製程機台下方安裝不同的隔震支承進行振動台試驗，比較各隔震支承對機台與晶舟的保護程度，藉此探討配置內置摩擦阻尼與慣質機構對斜面滾動隔震支承隔震效益之實際影響，以作為後續SRBI改良的重要參考。
藉由上述各部分之結果可瞭解，於具慣質設計模型中加入本研究提出之速差模型確實能準確模擬SRBI於實際運動中的加速度及位移反應；同時透過能量方程式印證了SRBI作動時將轉換一部分能量至慣質機構中，並以飛輪的旋轉的方式對能量進行消散，達到抑制隔震位移的效果。

Conventional sloped rolling-type bearings (SRBs) feature the constant acceleration control performance owing to their rolling motion on sloped surfaces, thus resulting in satisfactory seismic protection for the isolated superstructure. However, their displacement control performance should be further enhanced. Previous researches proposed SRBs combined with clutch-based inerter in parallel (SRBIs). Numerical analysis results indicated that combining SRBs with inerter (i.e., adopting SRBIs) can effectively suppress the isolation displacement demand. Followed by the previous research, a refined analytical model is further proposed and experimentally examined in this study, as detailed below.
In this study, firstly, a refined analytical model for SRBIs is proposed and the corresponding energy equation is deduced. In reality, the time lag before the velocity of the SRB reaching that of the in-parallel connected clutch-based inerter with an assumed constant deceleration should be taken into consideration. To improve the accuracy and conservatism of numerical prediction, a mathematical model which can account for the velocity discrepancy between the SRB and the in-parallel connected clutch-based inerter is developed to appropriately determine the instant of generating inertia force during motion. Furthermore, with properly considering the inerter energy, the energy history of SRBIs based on the corresponding energy equation is investigated comprehensively.
Secondly, the dependence of seismic response and energy histories of SRBIs on different design parameters is numerically examined using the proposed analytical model. In addition to harmonic excitations, far-field and near-fault ground motions are used as input excitations. Some indices are defined to quantitatively assess the control performance of SRBIs subjected to ground motion excitations.
Thirdly, a series of performance tests with different weights of the isolated superstructure are executed to experimentally understand the influence of different inertance factors on the control performance of SRBIs. Besides, some necessary to-be-determined coefficients of the proposed analytical model for SRBIs are identified through comparing the coefficients of determination of experimental and numerical results.
Lastly, shake table tests on a full-scale facility inside which a crystal boat is installed are conducted. With different seismic isolation designs, including SRBs equipped with friction damping and SRBIs, their efficacy in protecting the facility and the crystal boat against seismic attack is experimentally examined, which is helpful to propose some effective and practical strategies in the future to further enhance the seismic performance of relevant facilities and crystal boats.
The results of the various components described above indicate that incorporating the proposed speed difference model into the inertial design model does indeed allow for an accurate simulation of the acceleration and displacement responses of SRBI during actual motion. Furthermore, the energy equation confirms that when SRBI is in operation, it transfers a portion of the energy to the inerter mechanism, dissipating energy through the rotation of the flywheel, thereby achieving the desired effect of suppressing isolation displacement.

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