Abstract

The effectiveness of tuned mass friction damper (TMFD) in suppressing the dynamic response of the structure is investigated. The TMFD is a damper which consists of a tuned mass damper (TMD) with linear stiffness and pure friction damper and exhibits non-linear behavior. The response of the single-degree-of-freedom (SDOF) structure with TMFD is investigated under harmonic and seismic ground excitations. The governing equations of motion of the system are derived. The response of the system is obtained by solving the equations of motion, numerically using the state-space method. A parametric study is also conducted to investigate the effects of important parameters such as mass ratio, tuning frequency ratio and slip force on the performance of TMFD. The response of system with TMFD is compared with the response of the system without TMFD. It was found that at a given level of excitation, an optimum value of mass ratio, tuning frequency ratio and damper slip force exist at which the peak displacement of primary structure attains its minimum value. It is also observed that, if the slip force of the damper is appropriately selected, the TMFD can be a more effective and potential device to control undesirable response of the system.

Highlights

  • The tuned mass damper (TMD) is the most popular and widely used device to control vibration in civil and mechanical engineering applications ranging from small rotating machines to tall civil engineering structures

  • The present study addresses the working of tuned mass friction damper (TMFD)

  • An optimum value of Rf exists at which the response of the system decreases significantly, and at this value of Rf, It is observed from the numerical study that there exists a range of optimum values of parameters such as friction force, mass ratio and tuning frequency ratio, which influences the performance of TMFD

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Summary

Introduction

The tuned mass damper (TMD) is the most popular and widely used device to control vibration in civil and mechanical engineering applications ranging from small rotating machines to tall civil engineering structures. The performance of a TMFD attached to a damped linear SDOF structure is investigated under seismic and harmonic excitations. The specific objectives of the study are: (1) to formulate the equations of motion and develop solution procedure for the response of SDOF structure with TMFD, under harmonic and seismic excitations, numerically; (2) to investigate the existence of different modes of vibration; (3) to investigate the influence of important parameters such as mass ratio, tuning frequency ratio and damper slip force on the performance of TMFD; (4) to obtain the optimum values of important parameters such as tuning frequency ratio and damper slip force for different mass ratios of TMFD; and (5) to compare the response of SDOF structure attached with TMFD to the response of same structure without TMFD

Modeling of SDOF structure with TMFD
Governing equations of motion and solution procedure
Numerical study
Numerical study for harmonic excitation
Effect of TMFD and excitation frequency
Effect of friction force
Effect of tuning frequency ratio
Effect of mass ratio
Optimum parameters
Numerical study for earthquake excitation
Recording station
Findings
Conclusions

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