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IssuesArchive of Issues2014-2pp.136-148

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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
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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
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