杠杆式多重调谐质量阻尼器的动力特性

研究了由许多刚度和阻尼保持为常量且频率呈线性分布的杠杆式TMD形成的杠杆式MTMD(LT-MTMD)的动力特性．基于建立的结构．LT-MTMD系统的传递函数，导出了设置LT-MTMD结构的动力放大系数(DMF)解析表达式．于是LT-MTMD的优化准则可定义为最大动力放大系数的最小值的最小化(Min．Min．Max．DMF)．通过最优搜寻可得到LT-MTMD的最优频率间隔、平均阻尼比、调谐频率比和相应的Min．Min．Max．DMF值．研究了LT-MTMD中刚性支撑杆位置的改变对LT-MTMD动力特性的影响．

DYNAMIC CHARACTERISTICS OF LEVER-TYPE MULTIPLE TUNED MASS DAMPERS

Dynamic characteristics of the lever-type multiple tuned mass dampers (LT-MTMD), which consist of many lever-type tuned mass dampers (LT-TMDs) whose stiffness and damping are kept constant and natural frequencies are linearly distributed, are studied. Based on the formulated transfer function for the structure-LT-MTMD system, the analytical expression for the dynamic magnification factor (DMF) of the structure with a LT-MTMD is derived. The optimum criterion of the LT-MTMD may then be defined as the minimization of the minimum values of the maximum DMF, referred to as Min.Min.Max.DMF. Via the optimization, one may obtain the optimum parameters of the LT-MTMD (including the optimum frequency spacing, average damping ratio, and tuning frequency ratio) and the corresponding Min.Min.Max.DMF value. The effect of changing the location of the rigid support on the dynamic characteristics of the LT-MTMD is investigated.