Quantitative analysis of vehicle plane motion system stability

The classical conclusions about the vehicle stability are usually drawn from the 2-DOF vehicle model. As more and more researchers begin to explore the complex dynamic characteristics of nonlinear and high degrees of freedom vehicle plane motion system, it is of value to intuitively reveal the global dynamic characteristics by objective quantitative indicators. Moreover, a new quantitative indicator, dissipation of energy, was proposed in 2021, and it is also worth further analyzing its rationality. For the above purposes, first of all, this paper briefly introduces the difference between the 2-DOF model and the high degree of freedom (≥3) model based on previous work. Secondly, this paper objectively discusses the stability characteristics of high degrees of freedom vehicle system from different aspects (dissipation of energy, longitudinal velocity, tire sideslip angle, convergence time) for the first time. In addition, the relationship between each indicator is systematically compared with the dissipation of energy, and their advantages and disadvantages are explained. Therefore, the main contributions of this paper are as follows: (1) This paper supplements previous conclusions on the dynamic characteristics of high-DOF vehicle plane motion system and helps researchers better understand the global dynamic characteristics from different perspectives. (2) This paper supplements previous discussions on the rationality and effectiveness of dissipation of energy method, and objectively reveals the relationship between dissipation of energy and stability. (3) This paper establishes a link between qualitative and quantitative methods. The vehicle system dynamics characteristics are presented from a variety of quantitative perspectives for the first time, supplementing the relevant research in the field of dynamics quantitative indicators.