 | | 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 38, Issue 1 / 2003 | Next article >> |
| V. V. Andronov, "On the mechanical model of frictional self-excited vibrations with an inclined elastic force," Mech. Solids. 38 (1), 45-54 (2003) |
| Year |
2003 |
Volume |
38 |
Number |
1 |
Pages |
45-54 |
| Title |
On the mechanical model of frictional self-excited vibrations with an inclined elastic force |
| Author(s) |
V. V. Andronov (Korolev) |
| Abstract |
A modified load-on-a-belt mechanical model of frictional
self-excited vibrations is considered, with the spring
being established at an angle to the belt plane. It is shown
that in the case of unilateral contact of the body with
the belt, self-excited vibrations can appear in the system
in which the body periodically leaves the belt and
moves freely during part of the period without contact
with the belt. These motions with separation can be of two
types-with or without a segment of relative rest
during which the body moves together with the belt.
Issues of convergence to periodic motions of such types
are discussed. The properties of the modified model
are compared with those of the classical model in which
the spring is parallel to the belt plane. |
| References |
| 1. | A. Yu. Ishlinskii, Mechanics of Gyroscopic Systems
[in Russian], Izd-vo AN SSSR, Moscow, 1963. |
| 2. | V. A. Kudinov, Dynamics of Machine Tools
[in Russian], Mashinostroenie, Moscow, 1967. |
| 3. | R. F. Nagaev, Periodic Vibration-driven Motion Modes
[in Russian], Nauka, Moscow, 1978. |
| 4. | V. Ph. Zhuravlev, Fundamentals of Theoretical Mechanics
[in Russian], Nauka, Fizmatlit, Moscow, 1997. |
| 5. | Ya. G. Panovko and I. I. Gubanova, Stability
and Vibrations of Elastic Systems
[in Russian], Nauka, Moscow, 1987. |
| 6. | Yu. I. Neimark, Point Transformation Method
in the Theory of Nonlinear Oscillations
[in Russian], Nauka, Moscow, 1972. |
|
| Received |
12 December 2001 |
| << Previous article | Volume 38, Issue 1 / 2003 | Next article >> |
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