 | | 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 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8044
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| In English (Mech. Solids): | | 4810 |
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| I.G. Goryacheva and A.A. Zobova, "Dynamics of the Motion of an Elastic Cylinder Along an Elastic Foundation," Mech. Solids. 54 (2), 271-277 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
2 |
Pages |
271-277 |
| DOI |
10.3103/S0025654419030117 |
| Title |
Dynamics of the Motion of an Elastic Cylinder Along an Elastic Foundation |
| Author(s) |
I.G. Goryacheva (Ishlinsky Institute for Problems in Mechanics, Moscow, 119526 Russia, goryache@ipmnet.ru)
A.A. Zobova (Moscow State University, Moscow, 119991 Russia, azobova@mech.math.msu.su) |
| Abstract |
The quasi-static plane-parallel motion of an infinite elastic cylinder along a horizontal foundation made of the same material is studied (the cylinder axis is horizontal). The distribution of
normal and tangential stresses in the region of contact interaction between the cylinder and plane is derived from the solution to the problem of the theory of elasticity, where the Amontons–Coulomb
dry friction model is used in the slip area and the presence of a stick area is taken into account. The analytic solution to the problem is obtained and the phase portrait of the system is drawn. We compare
this with the problem of the motion of a perfectly rigid cylinder along a rigid surface with dry friction
and without slip. |
| Keywords |
rolling with slip, elastic cylinder, dry friction |
| Received |
19 April 2018 |
| Link to Fulltext |
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