the TMD design based on complex stiffness theory

In this paper, new approach for designing of TMD is presented. This method is categorized in passive control mechanism which is formulated based on structural dynamics theories. The proposed method tries to design the TMD's specifications based on studying the dynamic magnification factor. This formulation leads to complex stiffness which shows that the TMD has damping. Analytical and numerical verification are performed for verifying the proposed approach. These studies show that the proposed formulation has suitable efficiency in structural control so that structural vibrations are damped in few period of time.