 | | 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
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| In English (Mech. Solids): | | 4760 |
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| A.V. Karapetyan and A.Yu. Shamin, "On Motion of Chaplygin Sleigh on a Horizontal Plane with Dry Friction," Mech. Solids. 54 (5), 632-637 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
5 |
Pages |
632-637 |
| DOI |
10.3103/S0025654419050091 |
| Title |
On Motion of Chaplygin Sleigh on a Horizontal Plane with Dry Friction |
| Author(s) |
A.V. Karapetyan (Moscow State University, Moscow, 119991 Russia, avkarapetyan@yandex.ru)
A.Yu. Shamin (Moscow State University, Moscow, 119991 Russia, shamin_ay@mail.ru) |
| Abstract |
This paper considers the motion problem of the Chaplygin sleigh, a rigid body resting on a
horizontal plane and equipped with three legs, one of which ends with a semicircular blade orthogonal
to the supporting plane. As in the Chaplygin problem, it is assumed that the blade cannot move perpendicularly to its plane but can slide without friction along the straight intersection between the blade
plane and the reference plane and rotate around its vertical radius. In contrast to the Chaplygin problem, it is assumed that at other support points the body is affected by dry friction forces. The equations
of motion of the system are derived and the body motion is qualitatively analyzed. |
| Keywords |
Chaplygin sleigh, dry friction |
| Received |
12 September 2018 | Revised |
18 November 2018 | Accepted |
25 December 2018 |
| Link to Fulltext |
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