高阻尼橡膠支承墊為結構隔震系統常用隔震器之一，由於高阻尼橡膠支承墊的材料性質複雜，使得高阻尼橡膠支承墊的力與位移為極複雜之非線性關係，並非能用雙線性分析模型準確模擬。而在過去研究中，數學分析模型在模擬該支承墊受水平單軸向不同形式反覆加載之遲滯行為已能模擬相當良好。而本研究將延伸探討該支承墊受水平雙軸向非比例平面軌跡載重下之行為，於固定之軸向壓力下，利用圓形、八字形與正方形之平面軌跡加載，並探討扭轉耦合效應對於不同平面軌跡下支承墊等效勁度、等效阻尼比以及遲滯行為。
此外，為進行模擬水平雙軸向非比例平面軌跡載重下之遲滯行為，故本研究以三維材料組合定律為基礎，將水平單軸向數學分析模型延伸至水平雙軸數學分析模型，並藉由水平雙軸向非比例平面軌跡加載試驗結果與數學分析模型之比較以驗證延伸後水平雙軸數學分析模型之合理性，以提升數學分析模型應用於模擬高阻尼橡膠支承墊遲滯行為之準確性。

High-damping rubber bearing (HDRB) is a common type of seismic isolators. Because of the complex material conpound, its actual hysteresis behavior, however, may not be well represented by the existing bilinear approximation. Many studies have been conducted to analytically model this complexity but most of them focus on the unilateral hysteresis behavior. Hence, in this research, the bilateral hysteresis behavior of HDRB is discussed through the experimental observation and numerical analysis.
In the expermentat study, the HDRB subjected to unilateral and non-proportional loading, including circular orbit, 8-shape orbit and square orbit, is schemed. Through the comparison between the results under different test conditions, the torsional coupling effect is significant on the mechanical properties and hysteresis behavior of HDRB. In the analytical study, the three dimensional constitute law and plane vector concept are employed to extend the unilateral mathematical model of HDRB to bilateral application. With the decent agreement between the measurement and simulation, it can be concluded that the extended mathematical model is more accurate and applicable for capturing the bilateral hysteresis behavior of HDRB.

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