Transversal vibrations of elastic rod in magnetic field under simultaneous kinematic and force action

Аннотация

A model problem of transversal vibrations of an elastic conducting rod in the magnetic field is studied. Vibrations in the rod are excited due to kinematic and force factors. A partial differential equation of motion containing the integral term for the electromagnetic force was constructed. After applying the Fourier procedure, the problem is reduced to a set of ODEs. The condition for passive stabilization of the main vibrational mode's amplitude is derived. A method of active electromagnetic suppression of certain vibrational modes is proposed.

Язык оригинала	Английский
Номер статьи	032045
Журнал	IOP Conference Series: Earth and Environmental Science
Том	87
Номер выпуска	3
DOI	https://doi.org/10.1088/1755-1315/87/3/032045
Состояние	Опубликовано - 20 окт 2017
Событие	International Conference on Innovations and Prospects of Development of Mining Machinery and Electrical Engineering 2017, IPDME 2017 - Saint-Petersburg, Российская Федерация Продолжительность: 23 мар 2017 → 24 мар 2017

ASJC Scopus subject areas

Environmental Science(all)
Earth and Planetary Sciences(all)

Доступ к документу

10.1088/1755-1315/87/3/032045

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abstract = "A model problem of transversal vibrations of an elastic conducting rod in the magnetic field is studied. Vibrations in the rod are excited due to kinematic and force factors. A partial differential equation of motion containing the integral term for the electromagnetic force was constructed. After applying the Fourier procedure, the problem is reduced to a set of ODEs. The condition for passive stabilization of the main vibrational mode's amplitude is derived. A method of active electromagnetic suppression of certain vibrational modes is proposed.",

author = "Tomilin, {A. K.} and Kurilskaya, {N. F.}",

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AU - Tomilin, A. K.

AU - Kurilskaya, N. F.

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N2 - A model problem of transversal vibrations of an elastic conducting rod in the magnetic field is studied. Vibrations in the rod are excited due to kinematic and force factors. A partial differential equation of motion containing the integral term for the electromagnetic force was constructed. After applying the Fourier procedure, the problem is reduced to a set of ODEs. The condition for passive stabilization of the main vibrational mode's amplitude is derived. A method of active electromagnetic suppression of certain vibrational modes is proposed.

AB - A model problem of transversal vibrations of an elastic conducting rod in the magnetic field is studied. Vibrations in the rod are excited due to kinematic and force factors. A partial differential equation of motion containing the integral term for the electromagnetic force was constructed. After applying the Fourier procedure, the problem is reduced to a set of ODEs. The condition for passive stabilization of the main vibrational mode's amplitude is derived. A method of active electromagnetic suppression of certain vibrational modes is proposed.

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