Vibration control of transient response for spatial structures by using tuned mass dampers with initial displacement - Fundamental investigation about design formulas with initial displacement

In this paper, we propose tuned mass dampers with initial displacement to control transient response for spatial structures. The initial displacement of the TMD changes the phase of a beat envelope curve resulted from two vibration modes with closely spaced natural frequencies. We propose design formulas of tuned mass dampers with initial displacement and studied analytically the effect of vibration control on an impulse force and an impulsive earthquake force. As a consequence, we could recognize that the proposed system improve especially the control performance of the initial response. Lastly, to confirm the applicability of the proposed design formulas for controlling real structures, we studied analytically the effect of vibration control of the proposed method in this paper by using a single layer lattice shell model.