|
Vestnik Moskovskogo Universiteta. Seriya 1. Matematika. Mekhanika, 2020, Number 2, Pages 61–63
(Mi vmumm4321)
|
|
|
|
This article is cited in 2 scientific papers (total in 2 papers)
Short notes
Dynamics of Chaplygin skate on a horizontal plane with dry anisotropic friction
A. V. Karapetyan, A. A. Shishkov Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
Abstract:
The problem of Chaplygin's skate motion on the horizontal plane with dry friction is considered. It is supposed that the friction force depends on an angle between the sliding velocity and the skate plane. It is shown that the time of the skate sliding is defined by a transcendental equation and depends on the initial values of the angular velocity, the sliding velocity and the angle between the sliding velocity and the skate plane. The countable set of initial values of the sliding velocity such that the sliding time does not depend on this angle is found.
Key words:
Chaplygin skate, anisotropic dry friction.
Received: 20.02.2019
Citation:
A. V. Karapetyan, A. A. Shishkov, “Dynamics of Chaplygin skate on a horizontal plane with dry anisotropic friction”, Vestnik Moskov. Univ. Ser. 1. Mat. Mekh., 2020, no. 2, 61–63; Moscow University Mechanics Bulletin, 75:2 (2020), 47–49
Linking options:
https://www.mathnet.ru/eng/vmumm4321 https://www.mathnet.ru/eng/vmumm/y2020/i2/p61
|
Statistics & downloads: |
Abstract page: | 206 | Full-text PDF : | 40 | References: | 38 | First page: | 22 |
|