Fundamentals of Tuned Mass Dampers (TMDs) for Seismic Response Reduction

摘要

Modelling the structures incorporating Tuned Mass Dampers (TMDs) as two-degrees-of-freedom mechanical systems, this paper studies the salient parameters that induce the efficiency of these devices for the purpose of seismic response reduction. Focusing intrinsically on the mechanical systems themselves, and independently of ground motions, numerical and analytical expressions are obtained for the modal damping of the systems. Subsequently, for a highest efficiency in terms of modal damping allocation, a tuning is proposed such that modal damping is generated in the same proportion as the participation factors for the real modes. Further, some useful properties of the frequencies, tuning, and participation factors, are analytically demonstrated. Finally, limited calculations using a spectrum compatible accelerogram are offered to support the proposed method for modal damping allocation.