Steady-state response of a viscoelastic beam with asymmetric elastic supports coupled to a lever-type nonlinear energy sink

This work proposes on a novel continuum vibratory absorber that integrates a lever-type nonlinear energy sink (LNES) with asymmetric elastic boundary into viscoelastic Euler-Bernoulli beam condition to attenuate vibration. The steady-state response of the system is studied both numerically and analytically, and consistent results are found. In the process of studying the influences of the LNES coefficients, special attention is paid to the repetitious emergence of a closed detached response (CDR), which is firstly observed in the continuum system. It emphasizes that bifurcation of the system may take place many times. Meantime, it underscores that the amplitude-frequency response after adding the resonance absorber would diminish gradually, not abruptly. And the intimate connection between the existence of the CDR and the primary response is further investigated. The CDR could dramatically influence the peak of the resonance response and help to suppress the vibration. Furthermore, comparing with the same system coupled to the traditional NES, greater performance of the LNES is presented. It is valued that the vibration suppression scheme we proposed can play a significant role in vibration attenuation of a continuum system.

Automated summary

This work introduces a novel continuum vibratory absorber that integrates a lever-type nonlinear energy sink with asymmetric elastic boundary to attenuate vibration. The study focuses on the steady-state response of the system, highlighting the repetitive emergence of a closed detached response and the gradual decrease in amplitude after adding the resonance absorber. Additionally, the connection between the existence of the CDR and the primary response is further investigated.