On rapid vibration suppression by nonlinear energy sink during first half cycle of oscillation

• The proposed VIIP NES configuration is based on a synergetic mechanism between three different kinds of nonlinearities. • The VIIP NES incorporates a synergy between the bistable NES, non-smooth vibro-impact NES and the rotational NES nonlinearities. • The VIIP NES achieves an immediate vibration supersession of linear oscillator during the first half-cycle of oscillation. • The VIIP NES significantly outperformed the existing linear and nonlinear vibration absorbers including the TMD and the cubic stiffness NES. Linear and nonlinear vibration absorbers are employed to achieve rapid and effective suppression of the induced vibration into structural dynamical systems to protect their structural integrity and to avoid human and economic losses. The majority of considered high performance vibration absorbers in the literature are still not capable to achieve complete vibration suppression during the first cycle of oscillation. However, the present study provides a new dynamical configuration of a nonlinear vibration absorber that acts as nonlinear energy sink (NES). The proposed configuration has achieved an immediate and complete supersession to the induced vibration into the linear oscillator (LO) during the first half-cycle of oscillation. This NES configuration is based on synergetic mechanism between different kinds of nonlinearities. It incorporates a synergy between the bistable NES, non-smooth vibro-impact NES and the rotational NES nonlinearities. Accordingly, it is named as vibro-impact inverted pendulum (VIIP) NES. It consists of a coupled inverted pendulum with the LO by torsional stiffness element and vibro-impact dynamics. By incorporating these three kinds of NESs nonlinearities in the proposed synergetic VIIP NES, the induced impulsive vibration is found to be completely suppressed during the first half-cycle of oscillation.