Abstract
The problem of kinematical, dynamical and mathematical models is considered to characterize the dynamical behavior of vehicles on curvilinear movement. In this particular case were considered the elements that have a great influence on this dynamic behavior of vehicles, as: geometry of guiding wheels, constructive and functional features particular to each front stabilization system of the vehicles, as well as the road microprofile that influence in particular the linear movement. The differential equation described in here was solved using the Laplaces method and the experimental works was carried out using a BMC acquisition system. The theoretical and experimental data comparison confirms with good accuracy the hypothesis made on the study of vehicles stabilization system.