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A Journal of Russian Academy of Sciences
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IssuesArchive of Issues2001-4pp.22-31

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M. S. Artem'eva and D. Yu. Skubov, "Dynamics of conductive pendulums in a high-frequency magnetic field," Mech. Solids. 36 (4), 22-31 (2001)
Year 2001 Volume 36 Number 4 Pages 22-31
Title Dynamics of conductive pendulums in a high-frequency magnetic field
Author(s) M. S. Artem'eva (St. Petersburg)
D. Yu. Skubov (St. Petersburg)
Abstract The averaging method is utilized to investigate the motion of conductive pendulums in a high-frequency magnetic field. Unlike [1], in the present paper, the existence and stability conditions are found in an explicit form for equilibria, self-vibrations, and rotations of one- and two-contour conductive pendulums. The possibility of self-oscillations of a conductive spherical pendulum in an alternating magnetic field is analyzed.
References
1.  K. Sh. Khodzhaev and S. D. Shatalov, "On slow motions of a conductive rigid body in a magnetic field," Izv. AN. MTT [Mechanics of Solids], No. 2, pp. 175-181, 1981.
2.  Yu. G. Martynenko, Motion of a Rigid Body in Electric and Magnetic Fields [in Russian], Nauka, Moscow, 1988.
3.  P. S. Landa, Nonlinear Oscillations and Waves [in Russian], Nauka, Moscow, 1997.
4.  N. N. Bautin and E. A. Leontovich, Methods and Approaches for Qualitative Analysis of Dynamic Systems on a Plane [in Russian], Nauka, Moscow, 1990.
Received 15 March 1999
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