Abstract
The effectiveness of multiple tuned mass friction dampers (MTMFD) for vibration control of structure over a single tuned mass friction damper (STMFD) is investigated. A five story structure supported with MTMFD is considered and the governing differential equations of motion are derived. The response of the structure under four selected earthquake ground motions is obtained by solving the equations of motion numerically using the state space method. The number of damper in MTMFD is varied and the response of five story structure with STMFD is compared with the response of the same structure with MTMFD. A parametric study is also conducted to investigate the effects of important parameters such as number of dampers in MTMFD, damper frequency spacing, mass ratio, tuning ratio and damper slip force. It is found that for a given structural system and level of excitation an optimum value of the parameters (i.e. frequency spacing, tuning ratio and damper slip force) exists at which the peak displacement of structure attains its minimum value. The response time history of the structure with STMFD and MTMFD with respect to their optimum parameters is compared. It is found that the MTMFD is more effective in controlling the response of the structure in comparison with the STMFD having the same mass.
Highlights
The tuned mass damper (TMD) is a most popular and extensively used device to control vibration in civil and mechanical engineering applications ranging from small rotating machinery to tall civil engineering structures
The response of five-story structure with single tuned mass friction damper (STMFD) and multiple tuned mass friction dampers (MTMFD) is investigated under four different seismic excitations
The parametric study is conducted to investigate the effect of important parameters such as number of TMFD unit in MTMFD, frequency spacing, mass ratio, tuning ratio and damper slip force, on the performance of MTMFD
Summary
The tuned mass damper (TMD) is a most popular and extensively used device to control vibration in civil and mechanical engineering applications ranging from small rotating machinery to tall civil engineering structures. Lee et al (2005) performed a feasibility study of tunable FD and it was shown that proper sizing of the mass and the fulfillment of the damper criteria allows the designer to use benefit of FD and TMD. Gewei and Basu (2010) analyzed dynamic characteristics of SDOF system with single tuned mass friction damper (STMFD), using harmonic and static linearization solution. If the design parameters of the TMD are selected wrongly, it may accelerate the vibration of the system instead of attenuating it. To overcome this difficulty, many researchers had proposed the use of multiple tuned mass damper (MTMD) with different dynamic characteristics (Xu and Igusa, 1992; Joshi and Jangid, 1997).
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