The model used in this paper is very simple and would not be sufficient to simulate the detailed response of
a vehicle. In particular, the one degree of freedom model assumes that the unsprung mass is significantly smaller
than the sprung mass. However, this simple model is able to capture the major nonlinear effects that occur
in vehicle dynamics and has demonstrated the transition to chaotic vibrations and synchronization phenomena.
Indeed the nonlinear synchronization may also lead to a reduction in the number of degrees of freedom
required in an effective model. Because of the simplifications in the model, the results cannot be directly compared
to experimental results from real vehicles. The results of more sophisticated models will be reported in a
separate paper.