Journal
JOURNAL OF AEROSPACE ENGINEERING
Volume 25, Issue 3, Pages 421-430Publisher
ASCE-AMER SOC CIVIL ENGINEERS
DOI: 10.1061/(ASCE)AS.1943-5525.0000117
Keywords
Euler's equations; Periodic solutions; Nonlinear oscillations; Perturbation methods
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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. DOI: 10.1061/(ASCE)AS.1943-5525.0000117. (C) 2012 American Society of Civil Engineers.
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