 | | 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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| V. S. Voronkov, "An estimate of the maximal admissible asphericity for a rotor performing self-rotation in a magnetic suspension," Mech. Solids. 36 (3), 42-48 (2001) |
| Year |
2001 |
Volume |
36 |
Number |
3 |
Pages |
42-48 |
| Title |
An estimate of the maximal admissible asphericity for a rotor performing self-rotation in a magnetic suspension |
| Author(s) |
V. S. Voronkov (Moscow) |
| Abstract |
The effect of self-rotation of a body in a magnetic suspension enables
the suspension to work as a motor. This possibility is provided
by modulating the signal of the clearance sensor in the stabilization
system of the suspension synchronously with the rotation of the body.
This makes it possible to simplify the design of rotor systems with
a magnetic suspension and reduce the energy consumption.
Such a system is, for example, a pendulous gyrocompass with self-rotation
of the rotor the shape of which differs from that of a sphere.
In this gyrocompass, the clearance is modulated synchronously
with the rotation of the rotor, which is equivalent to an external
excitation whose frequency changes in a fairly broad range during
the acceleration of the rotor. This gives rise to the problem of
stabilization of the center of mass of a rotor in a magnetic suspension.
This problem is solved by optimizing the control to provide the
amplitude-frequency characteristic of the control signal with
uniformity minimizing the H∞-norm. We show that this
requirement can be met by a nonlinear robust control, synthesized
by the criterion of maximization of the attraction domain of the
equilibrium to be stabilized in the phase space of the closed-loop
system. An estimate is given for the maximal asphericity of the rotor
allowed in the optimal system. |
| References |
| 1. | Yu. I. Neimark, G. G. Denisov, O. D. Pozdeev, and Yu. V. Tsvetkov,
"On the magnetic suspension with self-rotation of the rotor,"
Voprosy Spetsial'noi Radioelektroniki, Ser. 12, No. 2,
pp. 3-12, 1964. |
| 2. | Yu. G. Martynenko, The Motion of a Rigid Body in Electric
and Magnetic Fields [in Russian], Nauka, Moscow, 1988. |
| 3. | V. S. Voronkov and G. G. Denisov, "The effect of the body's
autorotation in active magnetic bearings," in Proc. 4th Int. Symp.
on Magnetic Bearings, pp. 339-342, ETH Zurich, 1994. |
| 4. | V. S. Voronkov and O. D. Pozdeev, "The practice of application
of magnetic suspensions in pendulous gyrocompasses,"
in Second St. Petersburg International Conference on Gyro
Engineering and Navigation [in Russian], Part 2, pp. 38-45, TsNII
Elektropribor, St. Petersburg, 1995. |
| 5. | V. S. Voronkov and O. D. Pozdeev, "The influence of high-frequency
perturbations on the operation of the magnetic suspension,"
Izv. Vuzuv. Elektromekhanika, No. 9, pp. 945-950, 1976. |
| 6. | A. E. Barabanov and A. A. Pervozvanskii,
"Optimization with respect to uniform frequency criteria
(H-theory)," Avtomatika i Telemekhanika [Automation and
Remote Control], No. 9, pp. 3-32, 1992. |
| 7. | V. S. Voronkov, "Synthesis of the stabilization system
of the magnetic suspension and experimental investigation of
its dynamics," Izv. Vuzov. Priborostroenie,
Vol. 27, pp. 32-37, 1984. |
| 8. | N. N. Bogolyubov and Yu. A. Mitropol'skii,
Asymptotic Methods in the Theory of Nonlinear Oscillations
[in Russian], Nauka, Moscow, 1974. |
| 9. | E. P. Popov, Applied Theory of Control Processes in
Nonlinear Systems [in Russian], Nauka, Moscow, 1973. |
|
| Received |
02 December 1997 |
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