地震作用下基于多准则的最优调谐质量阻尼器

利用导出的设置调谐质量阻尼器（TMD）时结构的位移和加速度传递函数的统一模式，建立了结构的位移动力放大系数、位移动力减振系数，加速度动力放大系数和加速度动力减振系统设计公式。TMD的优化准则定义为：最大位移和加速度动力放大系数最小值的最小化与最小位移和加速度动力减振系数的最小化，基于这四个优化准则，研究了TMD在控制结构位移和加速度响应时的最优参数（包括最优调谐频率比和阻尼比），评价了分别基于位移动力放大和减振系统准则，加速度动力放大和减振系数准则设计的TMD最优动力特性，结果表明，位移和加速度动力放大系数准则是更可取的优化设计准则。

Multi-criterion-Based Optimum Tuned Mass Damper for Structures under Ground Acceleration

Employing the unified expression for the displacement and acceleration transfer functions of the structure with TMD, both the displacement and acceleration dynamic magnification factors and the displacement and acceleration dynamic reduction factors were defined, respectively, and their analytical formulae were developed. The criteria for the optimum searching are then the minimization of the minimum values of the maximum displacement and acceleration dynamic magnification factors and the minimization of the minimum displacement and acceleration dynamic reduction factors, respectively. A study was conducted on the optimum parameters of TMD for reducing the displacement and acceleration responses of structures under ground acceleration. The optimum parameters include the optimum tuning frequency ratio and damping ratio. Further, a comparison was made among the optimal dynamic characteristics of TMD designed with the above four criteria. It was shown that the former two criteria above are preferably suitable for designing TMD.