This paper proposes a novel damping model with negative stiffness known as the half-cycle negative-stiffness damping model. Analysis of a single degree of freedom (SDOF) system demonstrated that the half-cycle negative-stiffness damping model has negative stiffness and energy dissipation. The equivalent negative stiffness of the model was derived from the frequency response analysis of the system. An alternating transmission system and a one-way friction system were developed to assemble a half-cycle negative-stiffness damping device (HCNSDD), which can generate a half-cycle negative-stiffness damping model. A mechanical model was developed to represent the force-displacement relationship of the proposed HCNSDD. A HCNSDD specimen was manufactured and examined using experimental tests. The HCNSDD exhibits half-cycle negative-stiffness damping and stable mechanical properties, demonstrating the feasibility and effectiveness of the proposed HCNSDD. Finally, a finite element simulation approach for HCNSDD was presented, and the performance of seismic vibration control of HCNSDD was evaluated using a multidegree-of-freedom system.
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