基于修正的Clough-Penzien地震动模型时MTMD的动力特性

研究了由许多刚度和阻尼保持常量而频率呈线性分布的TMD形成的MTMD的地震特性，基于虚拟激励法和本文提出的平稳过滤有色噪声地震动模型（修正的Clough-Penzien地震动模型），建立了结构－MTMD系统的传递函数，进而导出了设置MTMD时结构的动力放大系数（DMF）明确表达式。MTMD的优化准则可选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MTMD的最优频率间隔、平均阻尼比、调谐频率比和相应的无量纲控制有效性指标。考虑结构受控频率与场地土卓越频率比的不同取值和不同场地类型，研究了场地土卓越频率和场地类型对MTMD最优参数及有效性的影响。而且，为比较，基于Clogh-Penzien地震动模型和不考虑地震动模型的结果也被考虑。

Performance of Multiple Tuned Mass Dampers Based on The Modified Clough-Penzien Model for Seismic Ground Motion

Seismic behavior of multiple tuned mass dampers consisting of many tuned mass dampersis studied in the present pape r. Here TMDs keep their stiffness and damping constant and have a uniform dis tribution of natural frequencies. Based on both pseudo-excitation approach and modified Clough-Penzien model for seismic ground motion is proposed in the cu rrent paper. The transfer function for the structure with MTMD is formulated als o. The explicit expression for the dynamic magnification factor of the structure with MTMD, denoted by DMF is derived then. The criterion for the optimum search ing could be established by minimization of the minimum values of the maximum dy namic magnification factors i.e. Min.Min.Max.DMF]. Through the optimum searc hing, the optimum frequency spacing, average damping ratio, tuning frequency rat io and corresponding index measuring the control effectiveness of MTMD could be obtained. Considering different values of the ratio between the structural freq uency in the mode to be mitigated and the dominant ground frequencies, also tak ing the soil classification into account, research is conducted regarding the i nfluence of both the dominant ground frequencies and soil classification on the MTMD optimum parameters and its effectiveness. Comparison between the results ba sed on Clough-Penzien model and without considering the model for seismic groun d motion are also carried out.