 | | 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: | | 12804 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
|
| In English (Mech. Solids): | | 4760 |
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| A. A. Kireenkov, "On the motion of a homogeneous rotating disk along a plane in the case of combined friction," Mech. Solids. 37 (1), 47-53 (2002) |
| Year |
2002 |
Volume |
37 |
Number |
1 |
Pages |
47-53 |
| Title |
On the motion of a homogeneous rotating disk along a plane in the case of combined friction |
| Author(s) |
A. A. Kireenkov (Moscow) |
| Abstract |
By moving the origin of the coordinate frame to the instantaneous
center of rotation, we integrate the relations for the force
and torque of friction. Appropriate Padé approximations are constructed.
A new qualitative fact is established that the instantaneous center
of rotation lies on the circumference of the disk at the instant
of coming to a complete stop, the slip and rotation velocities vanishing
simultaneously. |
| References |
| 1. | A. Yu. Ishlinskii, B. N. Sokolov, and F. L. Chernous'ko,
"On the motion of plane bodies in the presence of dry friction,"
Izv. AN SSSR. MTT [Mechanics of Solids], No. 4, pp. 17-28, 1981. |
| 2. | L. A. Galin, Contact Problems of Elasticity and
Viscoelasticity [in Russian], Nauka, Moscow, 1980. |
| 3. | V. Ph. Zhuravlev, "On the model of dry friction in the problem
of rolling of rigid bodies," PMM [Applied Mathematics and Mechanics],
Vol. 62, No. 5, pp. 762-767, 1998. |
| 4. | P. Contensou, "The relation between sliding friction
and spinning friction and its utilization in the theory of a top,"
in Problems of Gyroscopy [Russian translation], pp. 60-77, Mir, Moscow,
1967. |
| 5. | G. Baker and P. Graves-Morris, Padé Approximations,
[in Russian], Mir, Moscow, 1988. |
|
| Received |
20 December 2000 |
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