The study of the car's stability using a simplified model

This paper presents some research on vehicle stability, taking into account a simplified mechanical model of cars and analyzing the stability of vehicle movement using dynamic systems theory. The paper proposes a new mathematical model for the kinematic and dynamic study of the behavior of two-axle vehicles, a model using a nonlinear link between the lateral deflection of the tire and the external forces applied to it. The mechanical model is considered a model with two degrees of freedom, taking into account the following two variables: angular velocity and linear velocity in the transverse direction. To analyze the dynamic behavior of the vehicle, two displacement situations are considered: the first case in a case of displacement with a constant turning angle and the second considered case is the case with the sinusoidal variation of the wheel turning angle. Numerical solutions for these driving situations are determined and appreciations are made regarding the character of the movement in terms of stability.