The traditional structural retrofit methods such as column widening, installation of wing wall, and shear wall are commonly adopted in Taiwan. These methods are effective, but their application may encounter significant challenges due to the need for construction points in areas utilized by the building users. Therefore, a tuned mass friction damper (TMFD) was proposed in this study since it can be installed on the rooftop of the building without occupying the habitable area. In most researches, it is found that the TMFD was commonly designed with a parallel arranged Coulomb’s dry friction element and linear spring element. It becomes more interesting when the TMFD with a series arranged friction element and viscoelastic element was introduced as an alternative to the common type of TMFD in this research. The performance of the proposed TMFD was investigated by comparing it with that of a conventional TMD. The evaluation of the seismic performance of the mid-to-high rise RC building with weak and soft story using a tuned mass friction damper (TMFD) was proposed and investigated by conducting extensive parametric study. The building was modelled as a simplified two degrees of freedom system with on-off switching mechanism. It accounts for the sliding-sticking mechanism of the TMFD and the viscoelastic-plastic deformation of the primary structure. The effects of mass ratio, tuning period ratio, friction coefficient, and peak ground acceleration on the response reduction were investigated. The seismic capacity of the system attached to TMFD was evaluated by conducting the nonlinear dynamic analysis with the method of incremental dynamic analysis (IDA) and developing the collapse fragility curve. It was found that at a given level of excitation, an optimum value of mass ratio, tuning period ratio, and friction coefficient exist at which the peak displacement of primary structure attains its minimum value. It was also observed that the effect of tuning period ratio is necessary to be considered in the optimum design of TMFD. By selecting appropriate optimum values of controlling parameters, higher efficiency of TMFD with higher response reduction can be achieved.

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