 | | 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
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| In English (Mech. Solids): | | 3212 |
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| << Previous article | Volume 41, Issue 4 / 2006 | Next article >> |
| A. V. Fomichev, "On circular oscillations in a system with threefold resonance," Mech. Solids. 41 (4), 87-91 (2006) |
| Year |
2006 |
Volume |
41 |
Number |
4 |
Pages |
87-91 |
| Title |
On circular oscillations in a system with threefold resonance |
| Author(s) |
A. V. Fomichev (Moscow) |
| Abstract |
We discuss the possibility of using an isotropic spatial oscillator as a
two-degree-of-freedom gyros. We propose several algorithms for obtaining
information about the orientation of the object bearing such a gyro and a
method for stabilizing an oscillation shape that is unstable without
stabilization. We compare the properties of systems performing circular and
rectilinear [1] oscillations and find several significant differences,
which appear, for example, in the problem of stabilizing the shape and in
various results on the influence of same perturbations on rectilinear and
circular oscillations. |
| References |
| 1. | V. Ph. Zhuravlev,
"Control of the shape of oscillations in resonance systems,"
PMM [Applied Mathematics and Mechanics],
Vol. 56, No. 5, pp. 827-836, 1992. |
| 2. | V. Ph. Zhuravlev,
"Strapdown inertial system of minimal dimension
(Spatial oscillator-pickup of total inertial information),"
Izv. RAN. MTT [Mechanics of Solids], No. 5, pp. 5-10, 2005. |
| 3. | P. Leger, "Quapason - a new low-cost vibrating gyroscope," 3rd
Intern. Conf. on Integrated Navigation Systems, Vol. 1, St.Petersburg,
pp. 143-149, 1996. |
| 4. | P. Olver,
Applications of Lie Groups to Differential Equations
[Russian translation],
Mir, Moscow, 1989. |
| 5. | R. Horn and C. Johnson,
Matrix Analysis [Russian translation],
Mir, Moscow, 1989. |
|
| Received |
28 March 2005 |
| << Previous article | Volume 41, Issue 4 / 2006 | Next article >> |
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