本文建立了层间隔震结构最大地震响应时刻的能量平衡方程,利用RSS法求得隔震层与下部子结构的最大变形比,并给出了层间隔震结构全体弹性振动能、隔震层阻尼器滞回耗能和下部子结构粘滞阻尼耗能的表达式。通过引入设计用能量谱的概念,推导出了基于能量平衡的层间隔震结构地震响应预测式。最后以隔震层设置位置变化的12层层间隔震结构为仿真对象,验证了响应预测式的精度。结果表明,对于不同的输入地震波,响应预测曲线包络了大多数时程分析的结果,吻合良好。
This paper establishes the energy balance equation of a story isolation structure at the moment that the maximal seismic responses occur. The maximal deformation ratio between the isolation layer and the sub-structure is solved by RSS(root sum square) method. The expressions of the total elastic vibration energy, the hysteretic damping dissipated energy by the lead dampers in isolation layer and the viscous damping dissipated energy of the sub-structure are presented. Through introducing the concept of design energy spectrum, the formulas to predict the seismic responses are derived based on the energy balance equation. Finally, the 12-story story isolation structures with three various isolation layer locations are used as a numerical example to validate the accuracy of the predicted responses. Results indicate that the response prediction curves can match well and envelope most of the time history responses for a class of earthquake records.