Technical Papers
Mar 9, 2011

Application of the Krylov-Bogoliubov-Mitropolski Technique for a Rotating Heavy Solid under the Influence of a Gyrostatic Moment

Publication: Journal of Aerospace Engineering
Volume 25, Issue 3

Abstract

The rotational motion of a heavy solid about a fixed point in the presence of a gyrostatic moment vector is investigated in this paper. It is supposed that the body is rapidly spinning about the major or the minor principle axis of the ellipsoid of inertia. The Krylov-Bogoliubov-Mitropolski technique is modified to obtain the periodic solutions of the equations of motion of the body with nonzero basic amplitude. These solutions are performed by computer codes to get their graphical representations. The result of this study was compared with similar previous works.

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References

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Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 25Issue 3July 2012
Pages: 421 - 430

History

Received: Jul 5, 2010
Accepted: Mar 7, 2011
Published online: Mar 9, 2011
Published in print: Jul 1, 2012

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T. S. Amer, M.ASCE [email protected]
Faculty of Science, Mathematics Dept., Tanta Univ., Tanta 31527, Egypt; and Faculty of Science and Education, Mathematics Dept., Taif Univ. (Al-Khurmah Branch), Kingdom of Saudi Arabia (corresponding author). E-mail: [email protected]
A. I. Ismail, M.ASCE [email protected]
Faculty of Science, Mathematics Dept., Tanta Univ., Tanta 31527, Egypt; and P.O. Box 5555 Makkah, Kingdom of Saudi Arabia. E-mail: [email protected]
W. S. Amer, M.ASCE [email protected]
Faculty of Science, Mathematics Dept., Minufiya Univ., Shebin El-Koum, Egypt. E-mail: [email protected]

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