On the motion of a gyro in the presence of a Newtonian force field and applied moments

DOI10.1177/1081286517716734zbMath1423.70009OpenAlexW2738189645MaRDI QIDQ5237881

I. M. Abady, T. S. Amer

Publication date: 25 October 2019

Published in: Mathematics and Mechanics of Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1177/1081286517716734

zbMATH Keywords

rigid body motionperturbation methodsEuler's equationsNewtonian fieldgyrostatic momentperturbing moments

Mathematics Subject Classification ID

Perturbation methods for rigid body dynamics (70E20) Motion of a rigid body with a fixed point (70E17) Motion of the gyroscope (70E05) Averaging of perturbations for nonlinear problems in mechanics (70K65)

Related Items (6)

Studying the vibrational motion of a rotating symmetrically charged solid body subjected to external forces and moments ⋮ Evolution of a heavy rigid body rotation under the action of unsteady restoring and perturbation torques ⋮ The body‐point model and its application to describe the motion of an electron near the nucleus of a hydrogen atom ⋮ The dynamical motion of a gyrostat for the irrational frequency case ⋮ Application of a large-parameter technique for solving a singular case of a rigid body ⋮ On the spinning motion of a disc under the influence a gyrostatic moment

Cites Work

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• An integrable case of a rotational motion analogous to that of Lagrange and Poisson for a gyrostat in a Newtonian force field
• The fast spinning motion of a rigid body in the presence of a gyrostatic momentum \(\ell_3\)
• Electromagnetic gyroscopic motion
• Averaging method in non-linear mechanics
• Real solutions for the attitude motion of a self-excited rigid body
• Lectures on Mechanics
• The General Problem of the Motion of Coupled Rigid Bodies about a Fixed Point

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