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本文首先建立了两个自由度结构的动力方程,推导了其频率传递函数,通过讨论主结构、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。接着定义其动力放大系数DDMF,利用数值模拟研究了主、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,本文利用有限元软件对一个十二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,并对误差进行了分析。
In this paper, the dynamic equations of two DOF structures are established and their frequency transfer functions are deduced. The damping mechanism of TMD is obtained by discussing the relationship between the main structure, the TMD and the external excitation frequency. The mechanism is that TMD and the main structure TMD exerts a directional force on the main structure to restrain its vibration and use damper damping to dissipate energy. Then, the dynamic amplification factor DDMF is defined. 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 damping performance of the structure is studied by numerical simulation. Finally, the finite element software is used to analyze a 12-layer frame model, and the conclusions of the numerical analysis are verified. The two results are basically the same, and the errors are analyzed.