Аннотация:
We consider a quit general problem of motion of an asymmetric rigid body about a fixed point, acted upon by an irreducible skew combination of gravitational, electric and magnetic fields. Two of those three fields are uniform and the third has a more complicated structure. The existence of precessional motions about a nonvertical axis is established. Conditions on the parameters of the system are obtained. An alternative physical interpretation is given in the framework of the problem of motion of a rigid body immersed in an incompressible perfect fluid, acted upon by torques due to two uniform fields.
Ключевые слова:
rigid body, precessional motion, three irreducible fields.
Поступила в редакцию: 22.07.2019 Принята в печать: 01.08.2019
Образец цитирования:
A. M. Hussein, “Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields”, Rus. J. Nonlin. Dyn., 15:3 (2019), 285–292
\RBibitem{Hus19}
\by A.~M.~Hussein
\paper Precessional Motion of a Rigid Body Acted upon by Three Irreducible Fields
\jour Rus. J. Nonlin. Dyn.
\yr 2019
\vol 15
\issue 3
\pages 285--292
\mathnet{http://mi.mathnet.ru/nd660}
\crossref{https://doi.org/10.20537/nd190307}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4021370}
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/nd660
https://www.mathnet.ru/rus/nd/v15/i3/p285
Эта публикация цитируется в следующих 6 статьяx:
V. Yu. Ol'shanskii, “Nonregular precession of a rigid body in three uniform fields”, Prikladnaâ matematika i mehanika, 88:1 (2024), 17
G. W. Gorr, “Statement of the Problem of Precessions of a Solid with a Fixed Point in Three Homogeneous Force Fields. Precession-Isoconic Body Movements”, Mech. Solids, 58:3 (2023), 768
G. V. Gorr, “One Class of Resonance Precession Motions of a Rigid Body under the Action of Three Homogeneous Force Fields”, Прикладная математика и механика, 87:1 (2023), 3
V. Yu. Ol'shanskii, “Regular Precession of a Gyrostat in Three Force Fields”, Прикладная математика и механика, 87:4 (2023), 571
G. V. Gorr, “Statement of the Problem of Precessions of a Solid with a Fixed Point in Three Homogeneous Force Fields. Precession-Isoconic Body Movements”, Известия Российской академии наук. Механика твердого тела, 2023, № 3, 123
H. M. Yehia, S. F. Megahid, “A new solution for the classical problem of a rigid body motion in a liquid”, J. Appl. Comput. Mech., 7:4 (2021), 2179–2184
Цитирование в формате AMSBIB
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