過去研究斜面式滾動隔震支承的運動方程式已經有成熟的理論推導以及分析流程，其中對於斜面角度之選擇僅限於特定角度，因此於理論公式推導中進行了相應的簡化。故本研究針對斜面式滾動隔震支承於任意斜面角度的力學行為，將滾軸上下接觸之斜面角度設為不同的獨立變數，應用前期研究所提出的理論推導模式，推導出廣義的斜面式滾動隔震支承運動方程式，並建立斜面式滾動隔震支承之分析程式。設備物通常依據加速度性能、容許位移進行設計，因此斜面式滾動隔震支承之最大位移考量相當重要。過去研究斜面式滾動隔震支承的位移反應，必須透過非線性動力分析求得位移反應。故本研究以統計的方法提出斜面式滾動隔震支承受震後之位移反應，依據不同設計工址建立符合耐震設計規範的人造地震，分別以地表、樓版加速度作為斜面式滾動隔震支承之輸入擾動進行數值模擬，並將結果統計整理並提出斜面式滾動隔震支承之參數表，設計上可依據不同設計工址、斜面角度、摩擦阻尼力，求得斜面式滾動隔震支承的最大絕對加速度及最大相對位移反應進行初步設計。

In past research, the equation of motion of equipment isolated by sloped rolling-type isolation devices (SRID) have been derived and solved. It has been proved that the SRID is excellent in controlling the maximum acceleration transmitted to the isolated equipment. However, the maximum displacement responses of the SRID are greatly dependent on the type of ground motions. Therefore, in this study, the maximum displacement responses of SRID under different design spectrum compatible ground motions are evaluated numerically. Based on numerical results, the statistics of the maximum seismic displacement responses of SRID with different slope angles and frictional damping forces are summarized. The results will serve as references for the practical design of SRID.

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