LAUSR

Abstract A novel archetype of nonlinear energy sink (NES) enhanced by an inerter is proposed for vibration reduction of vibrating systems. The proposed NES-inerter suppressed vibration more effectively than a convenient NES measured by both energy dissipation and amplitude frequency responses. Complexification-averaging technique is applied to analyze a coupled system to find steady-state periodic solutions, and the analytical results are confirmed by numerical simulations. The analytical solutions are used to bifurcation analysis, and the results show that the saddle node and the Hopf bifurcations occur under a series of parameters in the steady-state responses. The effects of parameters, such as inertance, cubic stiffness, viscous damping, and amplitude of the external excitation, on the performance of the proposed NES are examined based on the analytical solutions. The investigation reveals that the optimal value of the inerter exists in a certain range.