基于加速度响应控制时MT MD的地震特性
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摘要
研究了由多个刚度和阻尼保持为常量且频率呈线性分布的TMD形成的MTMD的地震特性。基于虚拟激励法和Kanai Tajimi及Clough Penzien地震谱 ,建立了结构 MTMD系统的加速度传递函数 ,进而导出了设置MTMD时结构的加速度动力放大系数 (ADMF)明确表达式。于是MTMD的优化准则选择为 :结构最大加速度动力放大系数的最小值的最小化 [Min .Min .Max .ADMF]。通过最优搜寻得MTMD的最优频率间隔、平均阻尼比、调谐频率比和相应的控制有效性指标。选择结构受控频率与地震卓越频率比的不同取值 ,研究地震卓越频率对MTMD最优参数及有效性的影响
Seismic behavior of multiple tuned mass dampers (MTMD) consisting of many tuned mass dampers(TMDs) is studied in the present paper. Each damper keeps their stiffness and damping constant and the system has a linear distribution of natural frequencies. Based on both the pseudo excitation approach and the Kanai Tajimi and Clough Penzien Spectrums, the acceleration transfer function for the structure with MTMD are formulated. The explicit expression for the acceleration dynamic magnification factor of the structure with MTMD, denoted by ADMF, is then derived. The criterion for the optimum searching is the minimization of the minimum values of the maximum acceleration dynamic magnification factors [i.e. Min.Min.Ma x.ADMF]. Through the optimum searching, the optimum frequency spacing, average damping ratio, tuning frequency ratio and corresponding index representing the control effectiveness may be found. Take different ratio between the structural frequency in the mode to be mitigated and the dominant ground frequencies, research is carried out regarding the influence of the dominant ground frequencies on the MTMD optimum parameters and its effectiveness.
Seismic behavior of multiple tuned mass dampers (MTMD) consisting of many tuned mass dampers(TMDs) is studied in the present paper. Each damper keeps their stiffness and damping constant and the system has a linear distribution of natural frequencies. Based on both the pseudo excitation approach and the Kanai Tajimi and Clough Penzien Spectrums, the acceleration transfer function for the structure with MTMD are formulated. The explicit expression for the acceleration dynamic magnification factor of the structure with MTMD, denoted by ADMF, is then derived. The criterion for the optimum searching is the minimization of the minimum values of the maximum acceleration dynamic magnification factors [i.e. Min.Min.Ma x.ADMF]. Through the optimum searching, the optimum frequency spacing, average damping ratio, tuning frequency ratio and corresponding index representing the control effectiveness may be found. Take different ratio between the structural frequency in the mode to be mitigated and the dominant ground frequencies, research is carried out regarding the influence of the dominant ground frequencies on the MTMD optimum parameters and its effectiveness.
引文
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4 ChunxiangLi.,Performanceofmultipletunedmassdamper sforattenuatingundesirableoscillationsofstructuresunderthegr oundacceleration,EarthquakeEngineeringandStructuralDynamics,2000,29:1045～1421
5 李春祥,Optim umsingleand multipletunedmassdampers forattenuatingundesirableoscillationsofstructuresunderthegroun dacceleration,上海交通大学博士后研究工作报告(英文),2000.12
6 LinJH andZhangWS.,Structuralresponsestoarbitr arilycoherentstationaryrandomexcitations,ComputerandStructures,1994,50:629～633
2 YamaguchiHandHarnporncha iN.,Fundarnentalcharacteristicsofmultipletunedmassdampersforsuppressingharmonicallyforced oscillators,EarthquakeEngineeringandStructuralDynamics,1993,22:51～62
3 Jang idRS.,Optimummultipletunedmassdampersfor baseexcitedundampedsystem,EarthquakeEngineeringandStructuralD ynamics,1999,28:1041～1049
4 ChunxiangLi.,Performanceofmultipletunedmassdamper sforattenuatingundesirableoscillationsofstructuresunderthegr oundacceleration,EarthquakeEngineeringandStructuralDynamics,2000,29:1045～1421
5 李春祥,Optim umsingleand multipletunedmassdampers forattenuatingundesirableoscillationsofstructuresunderthegroun dacceleration,上海交通大学博士后研究工作报告(英文),2000.12
6 LinJH andZhangWS.,Structuralresponsestoarbitr arilycoherentstationaryrandomexcitations,ComputerandStructures,1994,50:629～633
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