 | | 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: | | 11223 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 47, Issue 2 / 2012 | Next article >> |
| S.A. Agafonov and V.A. Matveev, "Dynamics of a Balanced Rotor under the Action of an Elastic Force with a Hysteresis Characteristic," Mech. Solids. 47 (2), 160-166 (2012) |
| Year |
2012 |
Volume |
47 |
Number |
2 |
Pages |
160-166 |
| DOI |
10.3103/S0025654412020021 |
| Title |
Dynamics of a Balanced Rotor under the Action of an Elastic Force with a Hysteresis Characteristic |
| Author(s) |
S.A. Agafonov (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005 Russia, seragav@yandex.ru)
V.A. Matveev (Bauman Moscow State Technical University, 2-ya Baumanskaya 5, Moscow, 105005 Russia) |
| Abstract |
Recently, the constructions of rotors rotating on passive-type magnetic bearings designed with the use of high-temperature superconductors have been developed [1, 2]. One still open problem in the stability analysis of rotors on such bearings is the problem on the influence of the bearing rigidity characteristic on the system dynamics. The stability of a steady-state motion of a rotor with arbitrary eccentricity is studied in [3]. The present paper deals with the dynamics of a steady-state motion of a balanced rotor rotated by an infinite-power motor; in this case, the elastic force acting on the rotor has a hysteresis characteristic [4]. The equations of motion are described by a nonautonomous system of differential equations which is reduced with prescribed accuracy to an autonomous system, and the latter is then analyzed [5]. |
| Keywords |
balanced rotor, hysteresis characteristic, nonautonomous system |
| References |
| 1. | V. A. Matveev, O. F. Orlov, and O. L. Poluschenko, "Method for
Calculating the Cryogenic Support on the Basis of Mendelson Model
of the Rigid Superconductor Structure," Vestnik MGTU im. Baumana,
Ser. Priborostr., No. 1, 26-33 (2003). |
| 2. | V. A. Matveev, Nizhelsky, and O. L. Poluschenko, "Force and
Stiffness Characteristics of Superconducting Bearing Prototype,"
Physica 416 (1-2), 17-24 (2004). |
| 3. | S. A. Agafonov, "Stability of Steady-State Motions of a Rotating
Shaft," Izv. Akad. Nauk SSSR. Mekh. Tverd. Tela, No. 6, 61-65
(1989) [Mech. Solids (Engl. Transl.)]. |
| 4. | R. V. Lapshin, "Analytic Model for the Approximation of Hysteresis
Loop and Its Application to the Scanning Tunneling Microscope,"
Rev. Sci. Instrum. 66 (9), 4718-4730 (1995). |
| 5. | S. A. Agafonov, "Stabilization of Motion of Nonconservative
Systems by Parametric Excitation," Izv. Akad. Nauk. Mekh. Tverd.
Tela, No. 2, 199-202 (1998) [Mech. Solids (Engl. Transl.)
33 (2), 170-173 (1998)]. |
|
| Received |
19 November 2009 |
| Link to Fulltext |
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