基于能量法的调谐粘性质量阻尼器地震响应预测式研究

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振动与冲击 ›› 2017, Vol. 36 ›› Issue (19) : 29-35.

论文

裴星洙，邱吉祥，伏恬甜

作者信息 +

Study on optimized design method of tuned viscous mass damper based on energy balance

PEI Xing-zhuQIU Ji-xiangFU Tian-tian

Author information +

文章历史 +

摘要

建立附加调谐粘性质量阻尼器的多层钢框架结构，简要分析其力学模型。建立能量平衡方程，并给出主结构弹性振动能、阻尼器弹性振动能、阻尼器粘性阻尼耗能的表达式，推导出剪力系数和层间位移的预测式。提出质量阻尼能量分散系数和粘性阻尼能量分散系数的简化计算公式。利用时程分析法验证了预测式和简化计算公式的准确性。利用位移降低率和剪力降低率的不同线性组合得出不同使用要求下的阻尼器优化置放量。结果表明：（1）简化计算公式能够近似地计算能量分散系数；（2）本文的预测式包络时程分析法的结果，能够比较准确地预测结构的地震反应；（3）当采用优化分布规律，质量比为0.2，刚度比为0.8，阻尼器阻尼比为0.8时，各种使用要求下的减震效果最佳。

Abstract

A multi-layer steel frame structure equipped with tuned viscous mass dampers was established and its mechanical models were analyzed.The energy balance equation was established and expressions of structures’ elastic vibration energy、dampers’ elastic vibration energy、viscous dampers’ energy were presented.Formulas of shear coefficients and story drifts were derived.Simplified formulas of mass dampers and viscous dampers energy dispersion coefficients were put forward.Time history analysisvalidated prediction formulas and simplified formulas accuracy.Dampers optimized arrangementsin different requirements were obtained by different linear combinations of displacement decrease rate and acceleration decrease rate.Conclusions are as follows:(1)simplified formulas can match well with energy dispersion coefficients;(2)prediction curves can envelope the results of time history analysis and match well with them;(3)whenstructures parameters are optimized distribution,mass ratio is 0.2,stiffness ratio is 0.8,dampers’ damping ratio is 0.8,structures’ damping effect in all situations is the best.

导出引用

裴星洙，邱吉祥，伏恬甜 . 基于能量法的调谐粘性质量阻尼器地震响应预测式研究[J]. 振动与冲击, 2017, 36(19): 29-35

PEI Xing-zhuQIU Ji-xiangFU Tian-tian. Study on optimized design method of tuned viscous mass damper based on energy balance[J]. Journal of Vibration and Shock, 2017, 36(19): 29-35

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