MTMD对结构刚度和质量参数摄动的鲁棒性

基于结构刚度和质量的摄动，建立了设置MTMD结构的传递函数。于是MTMD的优化准则可定义为设置MTMD结构最大动力放大系数的最小值的最小化。根据结构摄动而质量不摄动与结构质量摄动而刚度不摄动两种情况，讨论了MTMD的有效性变化趋势。数值分析表明，可以设计有效性与TMD相当但鲁棒性高得多的MTMD。因此，MTMD适用于控制频率变化的结构振动。

Robustness of MTMD to Perturbation in Structural Stiffness and Mass

Based on perturbation of the stiffiness and mass of a structure,the transfer function of the structure with an MTMD is derived.The optimum criterion of MTMD can then be selected as minimization of the minimum values of the maximum dynamic magnification factor(DMF).In light of perturbing the sturctural stiffness but not perturbing the structural mass and perturbing the structural mass but not perturbing the structural stiffness,the change in effectiveness of MTMD is analyzed.The numerical analysis indicates that a MTMD can be designed,with the approximately same level of effectiveness as an optimum TMD,through setting a slightly wider frequency range than the optimum frequency range.Therefore,MTMD is suitable for controlling structural vibration with variable frequencies.