 | | 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 42, Issue 4 / 2007 | Next article >> |
| G. M. Rozenblat, "Integration of the equations of motion of a disk on a rough plane," Mech. Solids. 42 (4), 552-557 (2007) |
| Year |
2007 |
Volume |
42 |
Number |
4 |
Pages |
552-557 |
| Title |
Integration of the equations of motion of a disk on a rough plane |
| Author(s) |
G. M. Rozenblat (Moscow State Automobile and Road Technical University, Leningradskii pr-t 64, Moscow, 125319, Russia, gr51@mail.ru) |
| Abstract |
In the present paper, we study the problem on the motion of a thin homogeneous disk on a horizontal plane under the action of dry (Coulomb) friction. We consider the radially symmetric law of normal pressure distribution over the disk plane. The equations of motion are integrated in elementary functions, which gives exact formulas for the length of the disk path and the time until complete stop. |
| References |
| 1. | P. Contensou, "Couplage Entre Frottenment de Glissement et
Frottenment de Pivotement Dans la Théorie de la Toupie,"
in Kreiselprobleme: Gyrodynamics
(Springer-Verlag, Berlin, 1963; Mir, Moscow, 1967),
pp. 201-216 (60-77). |
| 2. | A. Yu. Ishlinskii, B. N. Sokolov, and F. L. Chernousko,
"On Motion of Plane Bodies with Dry Friction,"
Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela,
No. 4, 17-28 (1981)
[Mech. Solids (Engl. Transl.)]. |
| 3. | V. Ph. Zhuravlev,
"On the Dry Friction Model in the Problem of Rigid Body Rolling,"
Prikl. Mat. Mekh.
62 (5), 762-767 (1998)
[J. Appl. Math. Mech. (Engl. Transl.)]. |
| 4. | V. Ph. Zhuravlev,
"Friction Laws in the Case of Combination of Slip and Spin,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 4, 81-88 (2003)
[Mech. Solids (Engl. Transl.)]. |
| 5. | A. A. Kirienkov,
"On the Motion of a Homogeneous Rotating Disk
along a Plane in the Case of Combined Friction,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 60-67 (2002)
[Mech. Solids (Engl. Transl.)]. |
| 6. | G. M. Rozenblat,
Dynamical Systems with Friction
(SPC. "Regular & Chaotic Dynamics," Moscow-Izhevsk, 2005)
[in Russian]. |
| 7. | L. A. Galin,
Contact Problems of Elasticity and Viscoelasticity
(Nauka, Moscow, 1980)
[in Russian]. |
|
| Received |
15 March 2006 |
| Link to Fulltext |
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