Several researchers have investigated shimmy suppression using Tuned Mass Dampers (TMD) and cubic Nonlinear Energy Sink (NES) as common solutions. The configurations are mounted on the wheel frame. The system incorporating the vibration absorber is derived by integrating the single wheel system model with the governing equation of the vibration absorber. As a result, we have determined the linear stability characteristics of both the TMD and the CNS, with the initial figure illustrating the TMD.