Soliton inspired hybrid active vibration control method for shock-induced transient vibrations: Numerical perspective

A novel hybrid control approach has been designed with the primary objective of minimizing vibration amplitude as quickly and effectively as possible, particularly in response to mechanical shocks. The control approach taken in this study is a hybrid methodology based on the integration of the soliton-inspired wave and the conventional Proportional-Integral-Derivative (PID) control technique. The proposed hybrid control approach is compared with the conventional PID control technique considering two-DOF, four-DOF and five-DOF vibratory systems. Mathematical models of these vibratory systems are established and simulated numerically. In these simulations, it was found that the presented control technique further mitigates vibrations than conventional PID. Moreover, to investigate the applicability of the hybrid control methodology in this research to real engineering systems, a half-vehicle model and bolted cantilever beams are considered. Numerical simulation studies are carried out for these two different engineering systems. Through numerical simulation studies conducted on these systems, it was revealed that the proposed hybrid control approach exhibits superior active vibration control performance to the conventional PID method.