地震作用下结构的基于阻尼柔性连接MT MD控制

Flexible-Jointed-Damping-Based MTMD for Structures under Earthquake

研究了基于阻尼柔性连接多重高谐质量阻尼器 (MTMD)在减小结构地震反应方面的动力特性。利用导出的设置MTMD结构的传递函数 ,建立了设置MTMD结构的动力放大系数 (DMF)设计公式 ,于是MTMD的优化准则可定义为结构最大动力放大系数的最小值的最小化 (Min .Min .Max .DMF)。根据优化准则 ,得不同刚度比MTMD的最优参数和相应的Min .Min .Max .DMF值。为比较 ,同时给出了基于阻尼刚性连接 (R =0 )MTMD的结果 ,广泛的数值分析表明 ,传统的阻尼刚性连接MTMD的性能可以扩展至一定刚度比范围的阻尼柔性连接MTMD。

The dynamic characteristics of flexible jointed damping based multiple tuned mass dampers (MTMD) are studied in reducing the seismic response of structures. Employing the derived transfer function of the MTMD structure system, the design formula for the dynamic magnification factor (DMF) of the MTMD structure system is then derived. The minimization of the minimum values of the maximum DMF (Min. Min. Max. DMF) is chosen as the optimum criterion. Subsequently, the optimum parameters of the MTMD and the corresponding Min. Min. Max. DMF are obtained for different stiffness ratio. For the purpose of comparison, the results for rigid jointed damping based MTMD ( R=0 ) are also taken into account. Extensive numerical analyses indicate that the performance of the conventional rigid jointed damping based MTMD may be extended to flexible jointed damping based MTMD within a certain range of stiffness ratio.