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IssuesArchive of Issues2007-6pp.851-859

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Total articles in the database: 9179
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Yu. K. Zhbanov and V. Ph. Zhuravlev, "Effect of movability of the resonator center on the operation of a hemispherical resonator gyro," Mech. Solids. 42 (6), 851-859 (2007)
Year 2007 Volume 42 Number 6 Pages 851-859
Title Effect of movability of the resonator center on the operation of a hemispherical resonator gyro
Author(s) Yu. K. Zhbanov (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, zhbanov@ipmnet.ru)
V. Ph. Zhuravlev (Institute for Problems in Mechanics, Russian Academy of Sciences, pr-t Vernadskogo 101, str. 1, Moscow, 119526, Russia, zhurav@ipmnet.ru)
Abstract It was established in [2] that resonator deformation according to the second mode shape of a thin hemispherical shell results in a displacement of the center of mass if the resonator is unbalanced, i.e., if the distribution of mass over the surface of the hemisphere deviates from axial symmetry. In the same paper, it was shown that this displacement of the center of mass makes the instrument sensitive to linear vibrations. The present paper deals with linear vibration caused in the presence of unbalance by the working vibrations themselves and by the forces used to maintain the latter. The linear vibration is considered in the form of beam vibrations of the resonator stem. The study is aimed at determining the influence of the coupling between the working and beam vibrations on the instrument readings. We obtain a formula relating the hemispherical resonator gyro drift to the unbalance and the eccentricity, which, in particular, can be caused by the gravity component normal to the sensitivity axis. The drift considered here is essentially caused by the fact that deformation of the resonator supports also results in deformation of the electric control field in the gap between the electrodes. The resulting additional forces cause the effect studied in this paper. The drift magnitude depends on how the control of the phase state of the resonator is chosen. In what follows, to be definite, we consider the control in fast-time mode, i.e., at the natural vibration frequency. A similar effect takes place for any other type of control of waves in the resonator.
References
1.  J. W. Strutt (Lord Rayleigh), The Theory of Sound, Vol. 1 (Macmillan, London, 1877; Izd-vo Inostr. Lit., Moscow, 1955).
2.  Yu. K. Zhbanov and V. Ph. Zhuravlev, "On the Balancing of a Hemispherical Resonator Gyro," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 4, 4-16 (1998) [Mech. Solids (Engl. Transl.), No. 4, 2-13 (1998)].
3.  V. Ph. Zhuravlev and D. D. Linch, "Electric Model of a Hemispherical Resonator Gyro," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 5, 12-24 (1995) [Mech. Solids (Engl. Transl.), No. 5, 10-21 (1995)].
4.  V. Ph. Zhuravlev, "On the Drift of a Hemispherical Resonator Gyro on a Rotating Base during the Quadrature Control in Fast-Time and Slow-Time Modes," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 13-18 (2003) [Mech. Solids (Engl. Transl.), No. 3, 8-11 (2003)].
5.  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.), No. 6, 21-28 (1997)].
Received 02 February 2006
Link to Fulltext http://www.springerlink.com/content/j86543k3m6474360
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