Engineering Transactions, 46, 3-4, pp. 271–289, 1998

Perturbed Motions of a Rotating Symmetric Gyrostat

A.I. Ismail
Tanta University

T.S. Amer
Tanta University

M.O. Shaker
Tanta University

The aim of the present paper is to provide analytical solutions for the perturbed problem of the behaviour of a symmetric gyrostat about a fixed point. This gyrostat is acted upon by a gyrostatic momentum $l_s (s = 1, 2, 3)$, variable restoring moment $k$ and perturbing moments $M_i (i = 1, 2, 3)$. The moment $k$ is introduced in view of the rotation of gyrostat under the action of electro-magnetic field. The solutions are achieved when the third component of the gyrostatic momentum is different from zero $(l_3 \neq 0)$. The averaging method is applied to investigate the first order approximate solutions of resonant and non-resonant cases.
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DOI: 10.24423/engtrans.644.1998