 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12854 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| P. A. Kruchinin, M. Kh. Magomedov, and I. V. Novozhilov, "Mathematical model of an automobile wheel for antilock modes of motion," Mech. Solids. 36 (6), 52-57 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
6 |
Pages |
52-57 |
| Title |
Mathematical model of an automobile wheel for antilock modes of motion |
| Author(s) |
P. A. Kruchinin (Moscow)
M. Kh. Magomedov (Moscow)
I. V. Novozhilov (Moscow) |
| Abstract |
An automobile is a complex controlled mechanical system with an extremely
broad spectrum of motion components-from the motion along a highway
during many hours to high-frequency vibrations of its structure.
For this reason, when investigating the dynamics of an automobile,
engineers utilize various mathematical models, depending on the purpose of
the investigation and the range of the spectrum of motions
to be considered [1-3]. In the present paper, we suggest a mathematical
model describing the motion of an automobile on a time scale of about
dozen milliseconds. This time scale is characteristic of the operation
of an antilock braking system. This model explains unwanted high-frequency
vibrations during braking [3-5] that fail to be described by the traditional
quasistatic models by Carter, Rockard, and Fromm. |
| References |
| 1. | A. A. Khachaturov (Editor), Dynamics of the System
"Road-Tire-Automobile-Driver" [in Russian], Mashinostroenie,
Moscow, 1976. |
| 2. | I. V. Novozhilov, Fractional Analysis. Methods of Motion
Decomposition, Birkhäuser, Boston, 1997. |
| 3. | C. L. Clover and J. E. Bernard, "Longitudinal tire
dynamics," Vehicle Syst. Dynam., Vol. 29, No. 4, pp. 231-259, 1998. |
| 4. | O. I. Karuzin, P. I. Malyugin, and A. I. Fedotov,
"Specific features of operation of an antilock braking system subject
to perturbations," in Reliability and Active Safety
of an Automobile [in Russian], pp. 31-38, MAMI, Moscow, 1985. |
| 5. | F. Gustafsson, "Monitoring tire-road friction using wheel slip,"
IEEE Control Systems, Vol. 18, No. 4, pp. 42-49, 1998. |
| 6. | M. V. Keldych, "Shimmy of the front wheel of a three-wheeled
landing gear," Trudy TsAGI, No. 564, 1945. |
| 7. | M. A. Levin and N. A. Fufaev, Theory of Rolling of a Deformable
Wheel [in Russian], Nauka, Moscow, 1989. |
| 8. | H. B. Pacejka, "In-plane and out-of-plane dynamics of pneumatic
tyres," Vehicle Syst. Dynam., Vol. 8, No. 4-5, pp. 221-251, 1981. |
| 9. | I. V. Novozhilov, "Rolling of a wheel," Izv. AN. MTT
[Mechanics of Solids], No. 4, pp. 50-55, 1998. |
|
| Received |
25 October 1999 |
| << Previous article | Volume 36, Issue 6 / 2001 | Next article >> |
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