 | | 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: | | 12854 |
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| In English (Mech. Solids): | | 4810 |
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| N.N. Bolotnik, P.A. Gubko, and T.Yu. Figurina, "Possibility of a Non-Reverse Periodic Rectilinear Motion of a Two-Body System on a Rough Plane," Mech. Solids. 53 (S1), 7-15 (2018) |
| Year |
2018 |
Volume |
53 |
Number |
S1 |
Pages |
7-15 |
| DOI |
10.3103/S0025654418030056 |
| Title |
Possibility of a Non-Reverse Periodic Rectilinear Motion of a Two-Body System on a Rough Plane |
| Author(s) |
N.N. Bolotnik (Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia;, bolotnik@ipmnet.ru)
P.A. Gubko (Institute for Problems in Mechanics, Russian Academy of Sciences, Moscow, 119526 Russia, gubkopaul@yandex.ru)
T.Yu. Figurina (Moscow Institute of Physics and Technology, Dolgoprudny, Moscow oblast, 141701 Russia, t_figurina@mail.ru) |
| Abstract |
A periodic rectilinear motion of a two-body system along a rough plane is considered. The system is
controlled by the force of interaction of the bodies. A periodic motion is defined as a motion in which
the distance between the bodies and their velocities relative to the plane are represented by time-periodic functions with the same period. The friction that acts between the bodies and the plane is Coulomb’s dry friction. Necessary and sufficient conditions for the possibility of a periodic non-reverse
motion of the system, in which neither of the bodies changes the direction of its motion, are proved.
These conditions are expressed by inequalities that involve the masses of the system’s bodies and the
coefficients of friction of these bodies against the underlying plane. |
| Received |
01 June 2017 |
| Link to Fulltext |
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