 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 46, Issue 4 / 2011 | Next article >> |
| V.Ph. Zhuravlev and G.M. Rozenblat, "On the Instability of a Car in the Vertical Plane under Rectilinear Motion with Friction Forces Taken into Account," Mech. Solids. 46 (4), 495-507 (2011) |
| Year |
2011 |
Volume |
46 |
Number |
4 |
Pages |
495-507 |
| DOI |
10.3103/S0025654411040017 |
| Title |
On the Instability of a Car in the Vertical Plane under Rectilinear Motion with Friction Forces Taken into Account |
| Author(s) |
V.Ph. Zhuravlev (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, zurav@ipmnet.ru)
G.M. Rozenblat (Moscow State Automobile and Road Technical University, Leningradskii pr-t 64, Moscow, 125319 Russia, gr51@mail.ru) |
| Abstract |
We consider the problem on the stability and instability of the equilibrium in the vertical plane for a wheeled vehicle performing a uniform rectilinear motion in the presence of rolling friction forces. We assume that the dependence of the rolling friction coefficients on the motion velocity is known and derive necessary and sufficient conditions on the system parameters under which such equilibria are stable. |
| Keywords |
wheeled vehicle, equilibrium stability, rolling friction, dissipation |
| References |
| 1. | A. Yu. Ishlinskii,
"On the Rolling Friction,"
Prikl. Mat. Mekh.,
No. 2, 245-260 (1939)
[J. Appl. Math. Mech. (Engl. Transl.)]
(See also
A. Yu. Ishlinskii,
"On the Rolling friction,"
in Applied Problems of Mechanics, Book 1:
Mechanics of Viscoplastic and Not-Completely-Elastic Bodies
(Nauka, Moscow, 1986),
pp. 176-190
[in Russian]). |
| 2. | M. A. Levin and N. A. Fufaev,
Theory of Rolling of a Deformable Wheel
(Nauka, Moscow, 1989)
[in Russian]. |
| 3. | State Standard (GOST) R 52102-2003. Pneumatic Tires. Determination of the Rolling Resistance by the Retardation Method
(State Standard of Russian Federation, Moscow, 2003)
[in Russian]. |
| 4. | A. A. Khachaturov, V. L. Afanas'ev, V. S. Vasil'ev, and G. V. Gol'din,
The Dynamic Road-Tire-Vehicle-Driver System,
Ed. by A. A. Khachaturov
(Mashinostroenie, Moscow, 1976)
[in Russian]. |
| 5. | V. P. Tarasik,
Theory of Car Motion: Manual for Higher Educational Institutions
(BKhV-Peterburg, St. Petersburg, 2006) [in Russian]. |
| 6. | K. Magnus,
Kreisel. Theorie und Anwendungen
(Springer, Berlin, 1971; Mir, Moscow, 1974). |
| 7. | V. Ph. Zhuravlev,
"Decomposition of Nonlinear Generalized Forces into Potential and Circulatory Components,"
Dokl. Ross. Akad. Nauk
414 (5), 622-624 (2007)
[Dokl. Phys. (Engl. Transl.)
52 (6), 339-341 (2007)]. |
| 8. | D. R. Merkin,
Introduction to Theory of Stability of Motion
(Nauka, Moscow, 1971)
[in Russian]. |
| 9. | I. Rokar,
Instability in Mechanics. Automobiles. Airplanes. Suspension Bridges
(Izd-vo Inostr. Lit., Moscow, 1959)
[in Russian]. |
| 10. | V. Ph. Zhuravlev,
Foundations of Theoretical Mechanics
(Fizmatlit, Moscow, 2008)
[in Russian]. |
| 11. | V. Ph. Zhuravlev and G. M. Rozenblat,
"On Vibrations of a Wheel Carriage in the Presence of Friction Academician,"
Dokl. Ross. Akad. Nauk
436 (5), 1-4 (2011)
[Dokl. Phys. (Engl. Transl.)
56 (2), 118-121 (2011)]. |
| 12. | V. Ph. Zhuravlev and D. M. Klimov,
Applied Methods in Vibration Theory
(Nauka, Moscow, 1988)
[in Russian]. |
|
| Received |
11 January 2011 |
| Link to Fulltext |
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