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IssuesArchive of Issues2001-3pp.49-54

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I. V. Novozhilov, I. S. Pavlov, and V. A. Frol'tsov, "On the behavior of an automobile on a μ-split road surface," Mech. Solids. 36 (3), 49-54 (2001)
Year 2001 Volume 36 Number 3 Pages 49-54
Title On the behavior of an automobile on a μ-split road surface
Author(s) I. V. Novozhilov (Moscow)
I. S. Pavlov (Moscow)
V. A. Frol'tsov (Moscow)
Abstract The term $\mu$-split road surface denotes the road section with sharp difference between traction coefficients for the right and left wheels. This is the case, for example, for an automobile entering an ice-covered shoulder or an oil pool by one side.

We consider a four-wheeled automobile entering a $\mu$-split road surface. We assume that prior to this, the automobile moved rectilinearly at constant speed. Methods of the theory of singularly perturbed systems are utilized to construct simplified equations of motion and calculate the angular velocity acquired by the automobile after entering the $\mu$-split road surface.
References
1.  A. A. Khachaturov, V. L. Afanas'ev, and V. S. Vasil'ev, Dynamics of the Road-Tire-Automobile-Driver System [in Russian], Mashinostroenie, Moscow, 1976.
2.  H. B. Pacejka, "Research in vehicle dynamics and tyre mechanics," Delft Progress Report, Vol. 7, No. 3/4, pp. 205-224, 1982.
3.  I. V. Novozhilov, Fractional Analysis [in Russian], Izd-vo MGU, Moscow, 1995.
4.  J. R. Ellis, Vehicle Dynamics [Russian translation], Mashinostroenie, Moscow, 1975.
5.  I. V. Novozhilov and I. S. Pavlov, "An approximate mathematical model of a wheeled vehicle," Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 196-204, 1997.
6.  A. B. Vasil'eva and V. F. Butuzov, Asymptotic Methods in the Theory of Singular Perturbations [in Russian], Vysshaya Shkola, Moscow, 1990.
Received 21 April 1999
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