Nonlinear Lateral Stability Analysis of Road Vehicles Using Liapunov's Second Method 841057
One important road vehicle dynamics problem is the determination of the lateral stability of the vehicle. In this paper, stability results for a nonlinear model of the lateral stability problem are obtained using Liapunov's Second Method. The nonlinearities in the model are present because of the nonlinear relationships that exist between the lateral forces on the tires and the tire slip angles. Two Liapunov functions are presented which reproduce the well known stability criterion, the critical speed equation, for the classical linear model of the lateral stability problem. These two functions are then used to obtain stability conditions for the nonlinear problem. Finally, the stability results obtained with the two Liapunov functions are compared with each other and with digital computer simulations of the nonlinear equations of motion.
Citation: Johnson, D. and Huston, J., "Nonlinear Lateral Stability Analysis of Road Vehicles Using Liapunov's Second Method," SAE Technical Paper 841057, 1984, https://doi.org/10.4271/841057. Download Citation
Author(s):
D. B. Johnson, J. C. Huston
Pages: 11
Event:
1984 SAE International Off-Highway and Powerplant Congress and Exposition
ISSN:
0148-7191
e-ISSN:
2688-3627
Also in:
SAE 1984 Transactions-V93-84
Related Topics:
Computer simulation
Vehicle dynamics /flight dynamics
Tires
Roads and highways
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