DSpace
 

Researchspace >
General science, engineering & technology >
General science, engineering & technology >
General science, engineering & technology >

Please use this identifier to cite or link to this item: http://hdl.handle.net/10204/3191

Title: On dynamics and control of vibratory gyroscopes with special spherical symmetry
Authors: Shatalov, M
Fedotov, I
Joubert, S
Keywords: Spherical vibratory gyroscopes
Exact solutions
Vibrating patterns
Spheroidal oscillations
Issue Date: May-2006
Citation: Shatalov, M, Fedotov, I and Joubert, S. 2006. On dynamics and control of vibratory gyroscopes with special spherical symmetry. 13th Saint Petersburg International Conference on Integrated Navigation Systems, St Petersburg, 29 – 31 May, 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: 13th Saint Petersburg International Conference on Integrated Navigation Systems, St Petersburg, 29 – 31 May 2006
URI: http://hdl.handle.net/10204/3191
ISBN: 5900780279
Appears in Collections:General science, engineering & technology

Files in This Item:

File Description SizeFormat
Shatalov3_2006.pdf37.43 kBAdobe PDFView/Open
View Statistics

Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.

 

Valid XHTML 1.0! DSpace Software Copyright © 2002-2010  Duraspace - Feedback