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Dynamics of the conductivity bodies of pendulum types in alternating magnetic field
Author(s) -
Skubov D.Yu.,
Vavilov D.S.
Publication year - 2014
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.201300257
Subject(s) - pendulum , magnetic field , physics , classical mechanics , alternating current , ball (mathematics) , string (physics) , mechanics , condensed matter physics , mathematics , mathematical analysis , theoretical physics , thermodynamics , quantum mechanics , power (physics)
The investigations fulfilled in this article are founded on two results. The first is experiments of M. Beteno, Y. Duboshinsky. The description of these experiments is adduced in [1]. In these experiments the low frequency oscillations of iron ball suspended on the thin string [1] were obtained (frequency of these oscillations is order to eigen frequency of pendulum). And the second is theoretical conclusions about possible stabilizations of early (without alternating magnetic field) unstable equilibrium positions. This theoretical result was obtained by the asymptotical solution of Lagrange‐Maxwell equations of dynamic of electromechanical systems suspended in alternating magnetic field [2].