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Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/1181

Title: Dynamics and control of vibratory gyroscopes with special spherical symmetry
Authors: Shatalov, M
Fedotov, I
Joubert, S
Keywords: Spheroidal oscillations
Exact solutions
Spherical vibratory gyroscopes
13th Saint Petersburg international conference on integrated navigation systems 29-31 May 2006
Issue Date: 2006
Citation: Shatalov, M, Fedotov, I and Joubert, S. 2006. Dynamics and control of vibratory gyroscopes with special spherical symmetry. 13th Saint Petersburg international conference on integrated navigation systems, St Petersburg, 29 – 31 May 2006, pp 2
Abstract: It was shown in 1985 by Acad. V. Zhuravlev that the angular rate of a pure vibrating mode excited in a vibratory gyroscope with spherical symmetry is proportional to an inertial angular rate of the gyroscope. The effect is three dimensional and hence, it could be potentially used as a conception of a spatial inertial rotational sensor. Furthermore these effects are important in acoustics, geophysics and astrophysics. The effect was investigated qualitatively without specifying of a coordinate system and determination of the scale factors. In the present paper the effect of vibrating pattern precession is considered in a spherical coordinates. On the basis of exact solution of 3-D equations of motion of thick isotropic sphere, which are obtained in the spherical Bessel and the associated Legendre functions, the effects of rotation are investigated and scales factors are determined for different vibrating modes of the spherical body, spheroidal and torsional. Corresponding scales factors are calculated depending on nature of vibrating modes and their number. For realization of a three axes sensor it is necessary to realize three orthogonal spherical coordinate systems. Elements of control of vibrating spherically symmetric body are considered and possible imperfections are discussed
Description: 2006 13th Saint Petersburg international conference on integrated navigation systems
URI: http://hdl.handle.net/10204/1181
Appears in Collections:Accessibility research
CSIR Conference 2006
Manufacturing science and technology
General science, engineering & technology

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