International Scientific Journals
of Scientific Technical Union of Mechanical Engineering "Industry 4.0"

The paper presents a plane mathematical model of two degrees of freedom for vehicle directional stability. This model includes the lateral and yaw motions of the vehicle body. As a result, the model can be used for the analysis of the tire lateral stiffness and tire slip angle on vehicle directional stability. The behavior of vehicle stability has been simulated with MATLAB software. The results give the possibility to investigate the vehicle directional stability and the laterals dynamics process.

The vehicle directional stability depends on various factors, such as tire construction, their lateral stiffness, the rapport HL, the pressure and etc. The study presents a research of the influence of lateral stiffness of the suspension system and tire on vehicle stability.
Three types of vehicle models were used by considering the degrees of freedom. The lateral tire-road forces are modeled using Pacejka’s magic formula. The behavior of car stability has been simulated with MATLAB software. The results give the possibility to investigate the vehicle directional stability and the laterals dynamics process.