Mechanics of Solids (about journal) Mechanics of Solids
A Journal of Russian Academy of Sciences
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936

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V. S. Aslanov and I. A. Timbai, "Action-angle canonical variables for the motion of a rigid body under the action of a biharmonic torque," Mech. Solids. 38 (1), 13-23 (2003)
Year 2003 Volume 38 Number 1 Pages 13-23
Title Action-angle canonical variables for the motion of a rigid body under the action of a biharmonic torque
Author(s) V. S. Aslanov (Samara)
I. A. Timbai (Samara)
Abstract The motion of a nearly dynamically symmetric rigid body under the action of the nutation torque and a small perturbation torque is considered. The nutation torque is assumed to be represented by an odd Fourier series in terms of the nutation angle, with the coefficients slowly changing in time. For the case where the nutation torque is a biharmonic function of the nutation angle, the equations of the unperturbed motion are written with respect to the action-angle variables expressed in terms of complete elliptic integrals. All possible particular cases corresponding to various domains of the system phase portrait are considered. The relationship between the canonical action-angle variables and Eulerian variables is established.
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Received 06 June 2000
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