optimum stiffness designing of the tmd mechanism by combining the transient and the steady-state responses

this paper deals with new method for designing the tuned mass dampers (tmd) with considering both transient and steady state responses, simultaneously. this formulation is presented for undamped vibrations. for this purpose, the absolute value of the structural displacement ratio is minimized numerically. this procedure leads to optimum value of tmd's specifications. for numerical verification, the vibrations of some structures a controlled by proposed method. results show the efficiency of the proposed technique in comparison with other existing approaches.