Performance of Multiple Tuned Mass Dampers Based on The Modified Clough-Penzien Model for Seismic Ground Motion
Li Chunxiang(1),Liu Yanxia(2),Wang Zhaomin(2)
(1 School of Civil Engineering and Mechanics, Shanghai Jiaotong University, Shanghai 200030)
(2 School of Civil Engineering, Tongji University, Shanghai 200092)

Abstract: Seismic behavior of multiple tuned mass dampers £ÛMTMD£Ý consisting of many tuned mass dampers£Û£Ô£Í£Äs£Ý is studied in the present paper. Here £Ô£Í£Äs keep their stiffness and damping constant and have a uniform distribution of natural frequencies. Based on both pseudo-excitation approach and modified Clough-Penzien model for seismic ground motion is proposed in the current paper. The transfer function for the structure with MTMD is formulated also. The explicit expression for the dynamic magnification factor of the structure with MTMD, denoted by DMF is derived then. The criterion for the optimum searching could be established by minimization of the minimum values of the maximum dynamic magnification factors £Ûi.e. Min.Min.Max.DMF£Ý. Through the optimum searching, the optimum frequency spacing, average damping ratio, tuning frequency ratio and corresponding index measuring the control effectiveness of MTMD could be obtained. Considering different values of the ratio between the structural frequency in the mode to be mitigated and the dominant ground frequencies, also taking the soil classification into account, research is conducted regarding the influence of both the dominant ground frequencies and soil classification on the MTMD optimum parameters and its effectiveness. Comparison between the results based on Clough-Penzien model and without considering the model for seismic ground motion are also carried out.
Keywords: multiple tuned mass dampers, Min.Min.Max.DMF, optimum parameters, control effectiveness index, dominant ground frequencies, models for seismic ground motion, soil classification.