基于能量平衡的层间隔震结构地震响应预测
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摘要
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。
Energy balance equation of a story isolation structure at a moment while its maximum seismic responses occur was established. The maximum deformation ratio between its isolation layer and its sub-structure was solved by using RSS(root sum square) method. The expressions of the total elastic vibration energy, the hysteretic dissipated energy by the lead dampers in the isolation layer and the dissipated energy by the viscous damping of the sub-structure were given. Through introducing a concept of design energy spectrum, the formulas to predict the seismic responses were derived based on the energy balance equation. Finally, a 12-story story-isolation structure with three isolation layer locations was used as a numerical example to validate the accuracy of the predicted responses. Results indicated that the response prediction curves can match well and envelope most of the time history responses for a class of earthquake records.
引文
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