Longitudinal/Lateral Stability Analysis of Vehicle Motion in the Nonlinear Region

Chen, Ke-ji; Pei, Xiaofei; Ma, Guansheng; Guo, Xuexun

doi:10.1155/2016/3419108

Cited by 21 publications

(7 citation statements)

References 20 publications

(30 reference statements)

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“…In this case, the sum of the three forces (F f , F α , F t ) is negative, whereas, as mentioned earlier, K 2 has to be always positive to satisfy (8). To accommodate for that, K 2 will have to be redefined as follows, and marked as K 2 -:…”

Section: Case When K 2 <mentioning

confidence: 99%

See 1 more Smart Citation

Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model

2019

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One of the most common approaches in modern engineering research, including vehicle dynamics, is to formulate an accurate, but typically complex, mathematical model of a system or phenomenon and then use a software package to solve it. Typically, the solution is obtained in the form of a large data set, which may be difficult to analyse and interpret. This paper represents a purely theoretical analysis of a special case of vehicle longitudinal motion. Starting from a simplified mathematical model, a set of transcendental equations was derived that represents the exact solution of the model (i.e., in a closed form). The equations are analysed and interpreted in terms of what is their physical meaning. Although the equations derived here have only limited application in studying real world problems, due to the simplicity of the mathematical model, they offer a deeper insight into the nature of vehicle longitudinal motion.

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Section: Case When K 2 <mentioning

confidence: 99%

“…One approach to modelling vehicle longitudinal motion is presented in [7], although the focus of the paper is on the control design. Another approach is shown in [8], where air drag and tyre rolling resistance are ignored for simplicity, while focusing on the stability of longitudinal and lateral motion.…”

Section: Introductionmentioning

confidence: 99%

Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model

2019

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“…Horiuchi et al proposed an analysis method based on constrained bifurcation and continuity methods with the D'Alembert principle introduced, established a vehicle dynamics model including longitudinal velocity, lateral velocity, yaw rate and roll, and analyzed the bifurcation phenomenon caused by braking deceleration [18]. Chen et al studied the 3DOF dynamic model combined with the Burckhardt tire model, studied the change of system equilibrium point under front/rear/four-wheel braking by the phase plane method, and obtained the stable region corresponding to the slip rate of the front and rear wheels when the vehicle turns to brake [19]. Zhu et al considered engine braking in the 5DOF model and obtained the bifurcation diagram of the equilibrium point with the change of front wheel angle and longitudinal velocity through the phase plane method and static bifurcation theory [20].…”

Section: Introductionmentioning

confidence: 99%

Research on the Vehicle Steering and Braking Stability Region

Xian-bin

Zhang

et al. 2023

Applied Sciences

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Solving the stability region in the plane motion of vehicles has become a hot research topic in vehicle handling stability under extreme conditions, but there is still a lack of research on the stability region under steering and braking conditions. In this paper, a five-degree-of-freedom (5DOF) nonlinear dynamic model of a vehicle with braking torque introduced is established, and the model is transformed into an equivalent system by using the D’Alembert principle. Then, the equilibrium points of the equivalent system are solved by using an improved hybrid algorithm combining the genetic algorithm (GA) and sequential quadratic programming (SQP) method. According to the bifurcation characteristics of the equilibrium points, the boundary of the stability region at the given initial longitudinal velocity is determined, and the three-dimensional stability region is fitted. Finally, the stability region of the equivalent system and the original system are analyzed by the energy dissipation method, and the stability region determined by the equilibrium point bifurcation method is verified by simulation. The results show that as the braking torque increases, the number of equilibrium points increase to three from one, the equilibrium bifurcation method proposed in this paper can effectively solve the stability region of the equivalent system, and the solution results are consistent with the original system stability region. When the limited braking torque is 500 N·m and the initial longitudinal velocity increases from 30 m/s to 50 m/s, the absolute value of the front wheel steering angle at the boundary point changes from less than 0.02 rad to more than 0.02 rad.

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“…These problems can cause unsafety for passengers and cargo. In particular, the phenomenon of the lateral instability of the vehicle is one of the very dangerous phenomena [1]. This phenomenon can even lead to rollover [2].…”

Section: Introductionmentioning

confidence: 99%

Establishing the Method to Predict the Limited Roll Angle of the Vehicle Based on the Basic Dimensions

Nguyen¹,

Nguyen²,

Hoang³

et al. 2021

MMEP

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The roll angle of the vehicle φ is a characteristic parameter for the vehicle's instability. This value appears when the vehicle steers. If the vehicle’s body is tilted, the value of the vertical force at the wheels Fzij will also change. When the value of Fzij reaches zero, the wheel will be lifted off the road, the rollover phenomenon can occur. At this time, the roll angle of the vehicle will reach the maximum value φmax. Previous researches have often used only the vehicle dynamics model to determine the limits of this phenomenon. However, the calculation and simulation process are quite complicated. Therefore, this research has proposed a novel method that can calculate the limit of the rollover phenomenon more easily. In this research, the Rollover State Function (RSF) was established to calculate the limited roll angle of the vehicle. According to the content of the paper, this function depends only on the basic dimensions of the vehicle such as the height of center of the gravity, the track width, etc. Besides, it has relatively high accuracy, even when the vehicle's mass changes, its difference is not large. Therefore, the results of the paper can be applied to later studies to predict the rollover phenomenon.

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Longitudinal/Lateral Stability Analysis of Vehicle Motion in the Nonlinear Region

Cited by 21 publications

References 20 publications

Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model

Closed-Form Solution of a Special Case of a Vehicle Longitudinal Motion Model

Research on the Vehicle Steering and Braking Stability Region

Establishing the Method to Predict the Limited Roll Angle of the Vehicle Based on the Basic Dimensions

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