基于DDMF和ADMF的TMD动力特性

为试图利用适用于单自由度结构的TMD最优参数来设计用于多自由度结构振动控制的TMD，研究了TMD动力特性对结构振型参与系数的敏感性.考虑结构的振型参与系数，导出了设置TMD结构的位移和加速度动力放大系数(DDMF和ADMF)的解析表达式.于是TMD的优化准则定义为：结构的位移和加速度最大动力放大系数的最小值的最小化(Min.Min.Max.DDMF和Min.Min.Max.ADMF).根据选择的优化准则，得到了不同结构振型参与系数的TMD最优参数和控制效果，并给予评价.现在，设计者可以容易地设计用于多自由度结构振动控制的TMD.

Dynamic Characteristics of TMD Based on DDMF and ADMF

The research is carried out on the sensitivity in the TMD dynamic characteristics to the structural modal participation factor in an attempt to design TMD for MDOF structure directly using the optimum parameters of TMD for SDOF structure. The displacement and acceleration dynamic magnification factors (i.e. DDMF and ADMF) of the SDOF structure with TMD are defined and their explicit formulas are derived in the case of considering the structural modal participation factor. The criteria for the optimum searching are then the minimization of the minimum values of the maximum displacement and acceleration dynamic magnification factors (i.e. Min.Min.Max.DDMF and Min.Min.Max.ADMF). In light of the criteria, numerical results for the optimum parameters and effectiveness of TMD with respect to the different structural modal participation factors are presented and evaluated. And, a designer can now easily determine the TMD parameters for an MDOF structure.