This dissertation approaches interdisciplinary concepts of Mechanical Engineering and Software Engineering, with a main focus on the study of mechanical systems. Nowadays, the task of monitoring with autonomous vehicles has become more and more common, while the environment to which those robot vehicles are exposed becomes more and more hostile, mainly in relation to the obstacles and characteristics of the terrain. The present work introduces the development of a 3D real-time dynamic simulator of robot vehicles on rough terrain. An intersection algorithm is developed between a 3D generic terrain and each wheel of a vehicle. A tire-soil contact force model is implemented, taking into consideration the combined longitudinal and lateral drifts. The model includes the effects of direct current motors, taking into consideration the interaction between mechanical and electric parts, including a continuous approximation of LuGre’s friction model, considering the power limitations of the system batteries. The simulator also includes an equation for a 2D stability control, taking into consideration only the stabilization of the pitch angle of the vehicle. This work also proposes a 3D stability control using an indicator of stability that can be calculated in real time, based on an estimated distribution of wheel-terrain contact forces. The simulator is validated through comparisons with analytic solutions of the longitudinal behavior of the robot vehicle.