Active Vibration Control of a Quarter-Car Model via a Time-Delayed Vibration Absorber

A time-delayed vibration absorber (TDVA) is proposed to suppress the vertical vibration of a quarter-car model. First, the mechanical model of the combined system with a linear TDVA is studied. Second, the vibration suppression effect of the linear TDVA at a fixed excitation frequency is experimentally verified when the passive absorber totally loses efficacy. Third, based on the system acceleration response amplitude derived by the harmonic balance method, the control parameters optimization of the nonlinear TDVA is carried out in a wide frequency band; the numerical simulation of original vibration equations is conducted to determine the stability of the system. It is concluded that the broadband vibration suppression effect of the nonlinear TDVA is obtained with optimal control parameters. The numerical results validate the correctness of the theoretical ones.