In this chapter, the main system with damping and without damping of passive dynamic vibration absorption are studied firstly, and based on this, active dynamic vibration absorption using LQR control and PSO technique and semi-active dynamic vibration absorption using a MRD is proposed. Followed by, dynamic vibration absorption for floor structure using TMD and ATMD is proposed, and active control for ATMD is achieved in FEM. Subsequently, dynamic vibration absorption for 76-story benchmark structure using TMD and ATMD is also studied, and fluctuating wind speed field simulation using the DIT-FFT-WAWS method is adopted and the PSO is used for optimizing the control parameters.
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