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通过建立两个自由度结构的动力方程,推导其频率传递函数,并讨论主结构、调谐质量阻尼器(TMD)及外激励荷载三者频率的关系得到TMD的减震机理,其机理是在TMD与主结构的相对运动中由TMD对主结构施加方向作用力抑制其振动并利用阻尼器阻尼进行耗能。通过定义其动力放大系数,利用数值模拟研究主次结构的频率及阻尼比、次结构与主结构的质量比等动力参数对结构减震性能的影响。最后,利用有限元软件对一个12层的框架模型进行分析,对数值分析所得结论进行验证,二者得到基本一致的结论,并对误差进行分析。
The damping mechanism of TMD is obtained by establishing the dynamic equations of two degrees of freedom structure and deriving its frequency transfer function and discussing the relationship between the main structure, tuned mass damper (TMD) and external excitation load. The mechanism of TMD In the relative movement with the main structure, TMD exerts a directional force on the main structure to suppress its vibration and use the damper damping to dissipate energy. By defining the dynamic amplification factor, the influence of the dynamic parameters such as the frequency and damping ratio of the primary and secondary structures and the mass ratio of the secondary structure to the primary structure on the seismic performance of the structure is studied by numerical simulation. Finally, finite element software is used to analyze a 12-layer frame model, the results of numerical analysis are verified, the two are basically the same conclusion, and the error is analyzed.