Further Characteristics for Multiple Tuned Mass Dampers

Abstract

Through minimization of the minimum values of the maximum displacement and acceleration dynamic magnification factors respectively, the optimum parameters of the multiple tuned mass dampers (MTMDs) with identical stiffness and damping coefficients but unequal mass have been extended. The optimum parameters include the optimum frequency spacing, average damping ratio, and tuning frequency ratio. The numerical results indicate that for the MTMD there exist the near-zero optimum average damping ratio, invariant optimum frequency spacing, irregular change of the optimum tuning frequency ratio, deteriorating range of the effectiveness, failure ranges of the total mass ratio, and maximum allowable total number, which implies that in order to ensure the reliable operation of the MTMD, it is of vital importance to select the optimum parameters of interest in the design.