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Acta Mechanica
Erschienen in: Acta Mechanica 7/2019

16.04.2019 | Original Paper

Hamiltonian structure, equilibria, and stability for an axisymmetric gyrostat motion in the presence of gravity and magnetic fields

verfasst von: A. A. Elmandouh, A. G. Ibrahim

Erschienen in: Acta Mechanica | Ausgabe 7/2019

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Abstract

This work is interested in studying the motion of a rigid body carrying a rotor that rotates with a constant angular velocity about an axis parallel to the axis of dynamical symmetry. This motion is assumed to take place due to the effect of a combination of both uniform fields of gravity and magnetism that do not possess an axis of common symmetry. The equations of motion are constructed, and they are rewritten by means of the Hamiltonian function in the framework of the Lie–Poisson system. The equilibrium positions are inserted. The necessary conditions for the stability are introduced by applying the linear approximation method, while the sufficient conditions for stability are determined by utilizing the energy-Casimir method.
Vorheriger Artikel Realizing passive direction-bias for mechanical wave propagation using a nonlinear metamaterial
Nächster Artikel A correspondence between compressible and incompressible plane elastostatics
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Metadaten
Titel
Hamiltonian structure, equilibria, and stability for an axisymmetric gyrostat motion in the presence of gravity and magnetic fields
verfasst von
A. A. Elmandouh
A. G. Ibrahim
Publikationsdatum
16.04.2019
Verlag
Springer Vienna
Erschienen in
Acta Mechanica / Ausgabe 7/2019
Print ISSN: 0001-5970
Elektronische ISSN: 1619-6937
DOI
https://doi.org/10.1007/s00707-019-02413-y

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