在鉛心橡膠支承墊分析模型研究發展中，多數研究仍探討其受不同形式水平單軸向加載下之行為，而本研究為探討鉛心橡膠支承墊於垂直軸壓下，受雙軸向非比例平面軌跡載重下之行為，利用圓形與正方形之平面軌跡加載，探討扭轉耦合效應對於不同平面軌跡下支承墊有效勁度、等效阻尼比以及遲滯行為，並進行模擬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雙軸數學分析模型，並藉由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，以驗證延伸後雙軸數學分析模型之適用性，進而提升數學分析模型應用於模擬鉛心橡膠支承墊遲滯行為之準確性。此外，根據試驗結果顯示，鉛心橡膠支承墊在經過多次振動台試驗後，其遲滯消能能力明顯降低，故本研究建議於實務應用上，為充分瞭解鉛心橡膠承墊於地震後之力學行為，應抽出一組隔震支承墊進行性能試驗，以驗證其是否還保有原始設計功能。

In existing study for hysteresis behavior of lead-rubber bearings (LRB), the bearings have been typically subjected to cyclic unilateral loading. In this study, non-proportional loading paths including circular orbit and square orbit is schemed to investigate the cyclic hysteresis of the bearing. Through the comparison between the results under different test conditions, the torsional coupling effect induced by non-proportional loading paths is less significant compared with that to high damping rubber bearings (HDRB) on bearing hysteresis behavior.

Three constitutive models implemented with the plane vector concept are employed to correlate the analytical results with the experimental results. With the decent agreement between the measurement and simulation, it is concluded that the extended mathematical model is more accurate and applicable for capturing the bilateral hysteresis behavior of LRB. In addition, hysteresis dissipation capacity of LRB is obviously decayed after several shaking table tests.

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