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Mathematical Problems in Engineering
Volume 2016, Article ID 3419108, 15 pages
Research Article

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

1Hubei Key Laboratory of Advanced Technology of Automotive Components, Wuhan 430070, China
2School of Mechanical & Engineering, Beijing Institute of Technology, Beijing 100081, China
3Hubei Collaborative Innovation Center of Automotive Components Technology, Wuhan 430070, China

Received 5 April 2016; Revised 16 June 2016; Accepted 10 July 2016

Academic Editor: Yan-Jun Liu

Copyright © 2016 Keji Chen et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We focus on the study of motion stability of vehicle nonlinear dynamics. The dynamic model combining with Burckhardt tire model is firstly derived. By phase portrait method, the vehicle stability differences of three cases, front wheels steering/four-wheel steering case, front/rear/four-wheel braking case, and high/low road friction case, are characterized. With the Jacobian matrix, the stable equilibrium point is found and stable areas are calculated out. Similarly, the stability boundaries corresponding to different working conditions are also captured. With vehicle braking or accelerating in the steering process, the relationship between front/rear wheel slippage and the stable area is examined. Comparing with current literatures, the research method and its results present the novelty and provide a guideline for new vehicle controller design.