 | | 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 |
|
| << Previous article | Volume 49, Issue 2 / 2014 | Next article >> |
| D.A. Sukhoruchkin, "String Pendulum Dynamics. Control in the Single-Axis Azimuth-Free Gyro Mode," Mech. Solids. 49 (2), 136-148 (2014) |
| Year |
2014 |
Volume |
49 |
Number |
2 |
Pages |
136-148 |
| DOI |
10.3103/S0025654414020034 |
| Title |
String Pendulum Dynamics. Control in the Single-Axis Azimuth-Free Gyro Mode |
| Author(s) |
D.A. Sukhoruchkin (Ishlinsky Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526 Russia, sukhor@ipmnet.ru, dasukhor@gmail.com) |
| Abstract |
An implementation of a generalized Foucault pendulum, where the basic mechanical elements are a massive solid ball and two weightless strings, is considered. A two-dimensional electromechanical model of the gyro is constructed. Channels for inertial data acquisition and for vibration control are formed. The stability of the reference manifold for the chosen operation mode is shown. |
| Keywords |
string gyro, generalized Foucault pendulum, rotation angle transducer |
| References |
| 1. | E. J. Loper and D. D. Lynch,
"The HRG: A New Low-Noise Inertial Rotation Sensor,"
in Proc. 16th Joint Services Data Exchange for Inertial Systems
(Los Angeles, CA, 1982),
pp. 432-433. |
| 2. | V. Ph. Zhuravlev and D. M. Klimov,
A Wave Solid-State Gyroscope
(Nauka, Moscow, 1985)
[in Russian]. |
| 3. | V. Ph. Zhuravlev,
"Theoretical Foundations of a Solid-State Wave Gyroscope,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 3, 6-19 (1993)
[Mech. Solids (Engl. Transl.)]. |
| 4. | J. C. Stiles,
Vibrating Ring Gyro,
US Patent No. US3924475 (October 23, 1973; Published on December 9, 1975). |
| 5. | P. Léger,
"Quapason - a New Low-Cost Vibrating Gyroscope,"
in Proc. 3rd Saint Petersburg Int. Conf. on Integrated Navigation Systems, Part I
(St. Petersburg, 1996),
pp. 143-149. |
| 6. | W. H. Quick,
"Theory of the Vibrating String as an Angular Motion Sensor,"
Trans. ASME. Ser. E. J. Appl. Mech.
31 (3), 523-534 (1964). |
| 7. | D. A. Sukhoruchkin,
"On the String Implementation of a Generalized Foucault Pendulum,"
in Mechanics of Solids,
Interdepartamental Collection of Scientific Papers
(In-t Prikl. Mat. Mech. Nat. Acad. Sci. Ukraine, Donetsk, 2000),
No. 30, pp. 125-131
[in Russian]. |
| 8. | V. Ph. Zhuravlev,
"The Controlled Foucault Pendulum as a Model of a Class of Free Gyros,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 6, 27-35 (1997)
[Mech. Solids (Engl. Transl.)
42 (6), 21-28 (1997)]. |
| 9. | V. Ph. Zhuravlev,
Foundations of Theoretical Mechanics
(Fizmatlit, Moscow, 2008)
[in Russian]. |
| 10. | V. Ph. Zhuravlev,
"Electric Model of a Hemispherical Resonator Gyro,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 5, 12-24 (1995)
[Mech. Solids (Engl. Transl.)
30 (5), 10-21 (1995)]. |
| 11. | D. A. Sukhoruchkin,
"On the Precession of a Standing Wave in a String with Fixed Ends,"
Izv. Akad. Nauk. Mekh. Tverd. Tela,
No. 1, 15-22 (2007)
[Mech. Solids (Engl. Transl.)
42 (1), 12-18 (2007)]. |
| 12. | B. P. Demidovich,
Lectures in Mathematical Theory of Stability
(Nauka, Moscow, 1967)
[in Russian]. |
|
| Received |
01 June 2011 |
| Link to Fulltext |
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