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中文摘要：
根据能量平衡原理，建立了结构一TMD体系的累积能量响应和瞬时能量响应方程。综合考虑结构周期与阻尼比的影响，采用时程分析法研究了TMD系统在地震激励下主结构各能量响应的分布变化规律。研究了随机激励下，采用虚拟激励法从能量角度分析主结构能量响应最小时TMD质量比、频率比及阻尼比的最优值。数值仿真分析结果表明，TMD系统对于中长周期结构有较好的能量控制效果；当结构阻尼比较大时，TMD的控制效果下降；此外，随机激励下，以最小主结构累积输入能和瞬时输入能为优化目标所得到的TMD最优参数结果与传统以最小主结构位移响应峰值为优化目标的结果基本一致，从而验证了能量原理的适用性与可靠性。
英文摘要：
The accumulated and instantaneous energy response equations of Structure-TMD system based on en- ergy balance principle are established. Considering natural period and damping ratio of the controlled structure, the energy variation of the main structure is investigated by time history analysis method. The frequency ratio, mass ratio and damping ratio of TMD are optimized for energy responses of the main structure based on the ran- dom earthquake ground motion model, in which pseudo excitation method is employed for optimization proce- dure of TMD parameters. Numerical simulation results indicate that TMD achieves better performance for struc- ture of middle-long period. The damping level of the main structure can lower the control effectiveness of TMD. The optimal parameters of TMD obtained from the accumulated and instantaneous energy theory are in good a- greement with those from the traditionary optimization objective function such as the peak displacement of the structure, which proves the applicability and reliability of the energy theory.
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