 | | 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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| A.I. Munitsyn and M.A. Munitsyna, "Dynamics of an Inhomogeneous Ball on a Vibrating Base with Two-Component Viscous Friction," Mech. Solids. 54 (7), 1024-1029 (2019) |
| Year |
2019 |
Volume |
54 |
Number |
7 |
Pages |
1024-1029 |
| DOI |
10.3103/S0025654419070033 |
| Title |
Dynamics of an Inhomogeneous Ball on a Vibrating Base with Two-Component Viscous Friction |
| Author(s) |
A.I. Munitsyn (National Research University "Moscow Power Engineering Institute," ul. Krasnokazarmennaya 14, Moscow, 111250 Russia, munitsyn@rambler.ru)
M.A. Munitsyna (Moscow Institute of Physics and Technology (State University), Institutskiy per. 9, Dolgoprudny, 141700 Russia) |
| Abstract |
The problem of forced oscillations of a heavy inhomogeneous ball placed on a horizontal base is considered. It is assumed that the base moves in a horizontal direction according to harmonic law and at the point of contact between the surface of body and the base, the force and moment of viscous friction act. The equations of motion for a mechanical system are derived. Their solution is obtained by the averaging method. The dependences of the oscillation amplitudes for the excitation frequencies close to the eigenfrequency of the oscillations of the inhomogeneous ball on an absolutely smooth base are constructed. Both plane and spatial modes of oscillations have been found. |
| Keywords |
supporting plane, viscous friction, nonlinear vibrations, averaging method |
| Received |
26 December 2017 |
| Link to Fulltext |
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