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IssuesArchive of Issues2009-5pp.686-690

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N.V. Kalenova, "Influence of the Resonator Angular Displacements in a Hemispherical Resonator Gyro on the Coupling between the Working and Beam-Type Vibrations," Mech. Solids. 44 (5), 686-690 (2009)
Year 2009 Volume 44 Number 5 Pages 686-690
DOI 10.3103/S0025654409050057
Title Influence of the Resonator Angular Displacements in a Hemispherical Resonator Gyro on the Coupling between the Working and Beam-Type Vibrations
Author(s) N.V. Kalenova (Moscow State Aviation Technological University, Orshanskaya 3, Moscow, 121552 Russia, natusha_78@mail.ru)
Abstract In [1], we have studied how the coupling between the working and beam type vibrations of the resonator affects the hemispherical resonator gyro operation. We show that such a coupling arises if the resonator is unbalanced. The beam type vibrations are considered as translational displacements of the resonator hemisphere in the plane orthogonal to the symmetry axis. In the present paper, we take into account the fact that the hemisphere translational displacement is accompanied by its rotation about the axis perpendicular to the displacement line. We show that in this case a more accurate balancing of the resonator is required to eliminate the coupling between the two vibration modes.
Keywords hemispherical resonator gyro, balancing, difference in the Q-factor, damping decrement
References
1.  Yu. K. Zhbanov and V. Ph. Zhuravlev, "Effect of Movability of the Resonator Center on the Operation of a Hemispherical Resonator Gyro," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 6, 14-24 (2007) [Mech. Solids (Engl. Transl.) 42 (6), 851-859 (2007)].
2.  J. W. Strutt (Lord Rayleigh), The Theory of Sound, Vol. 1 (Macmillan, London, 1877; Izd-vo Inostr. Lit., Moscow, 1955).
3.  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.) 30 (4), 851-859 (1998)].
4.  Yu. K. Zhbanov and N. V. Kalenova, "Surface Unbalance of a Hemispherical Resonator Gyro," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 3, 11-18 (2001) [Mech. Solids (Engl. Transl.) 36 (3), 7-12 (2001)].
5.  N. V. Kalenova, "The Determination of the Surface Unbalance Parameters of a Hemispherical Resonator Gyro on the Basis of Its Response to the Angular Vibration of the Base," Izv. Akad. Nauk. Mekh. Tverd. Tela, No. 2, 3-7 (2004) [Mech. Solids (Engl. Transl.) 39 (2), 1-4 (2004)].
Received 10 February 2008
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