 | | 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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| << Previous article | Volume 52, Issue 6 / 2017 | Next article >> |
| A.I. Munitsyn, "Vibrations of a Rigid Body with Cylindrical Surface on a Vibrating Foundation," Mech. Solids. 52 (6), 675-685 (2017) |
| Year |
2017 |
Volume |
52 |
Number |
6 |
Pages |
675-685 |
| DOI |
10.3103/S0025654417060073 |
| Title |
Vibrations of a Rigid Body with Cylindrical Surface on a Vibrating Foundation |
| Author(s) |
A.I. Munitsyn (National Research University "Moscow Power Engineering Institute," ul. Krasnokazarmennaya 14, Moscow, 111250 Russia, munitsyn@rambler.ru) |
| Abstract |
The analytic solution of the problem of forced vibrations of a rigid body with cylindrical surface on a horizontal foundation is given. It is assumed that the dry friction force acts at the point of contact between the cylindrical surface of the body and the foundation and the foundation moves by a harmonic law in the horizontal direction perpendicularly to the cylindrical surface element. The averaging method is used to determine the forced vibration mode near the natural frequency of the body vibrations on the fixed foundation. The results are presented as amplitude-frequency and phase-frequency characteristics. |
| Keywords |
supporting plane, dry friction, nonlinear oscillations, averaging method |
| References |
| 1. | A. P. Markeev,
Dynamics of a Body Contacting with a Rigid Surface
(Moscow-Izhevsk, Inst. Komput. Issled., 2014)
[in Russian]. |
| 2. | I. I. Blekhman and G. Yu. Dzhanilidze,
Vibrational Motion
(Moscow, Nauka, 1964)
[in Russian]. |
| 3. | R. F. Nagaev,
Periodic Regimes of Vibrational Motion
(Moscow, Nauka, 1978)
[in Russian]. |
| 4. | S. J. Hogan,
"The Many Steady State Responses of a Rigid Block under harmonic Forcing,"
Earthquake Engng Struct. Dyn.
19, 1057-1071 (1990). |
| 5. | U. Andreaus and P. Casini,
"On the Rocking-Uplifting Motion of a Rigid Block in Free and Forced Motion:
Influence of Sliding and Bouncing,"
Acta Mech.
138, 219-241 (1999). |
| 6. | A. Sinopoli,
"Unilaterality and Dry Friction: A Geometric Foundation for Two-Dimensional Rigid Body Dynamics,"
Nonlin. Dyn.
12 (4), 343-366 (1997). |
| 7. | V. V. Andronov and V. Ph. Zhuravlev,
Dry Friction in Problems of Mechanics
(NITs "Regular and Chaotic Dynamics," Moscow-Izhevsk, 2010)
[in Russian]. |
|
| Received |
05 April 2016 |
| Link to Fulltext |
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