Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
 Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2015-6pp.531-538

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A.A. Aduyenko and N.I. Amel’kin, "Resonance rotations of a pendulum with a vibrating suspension," J. Appl. Math. Mech. 79 (6), 531-538 (2015)
Year 2015 Volume 79 Issue 6 Pages 531-538
DOI 10.1016/j.jappmathmech.2016.04.011
Title Resonance rotations of a pendulum with a vibrating suspension
Author(s) A.A. Aduyenko (Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia)
N.I. Amel’kin (Moscow Institute of Physics and Technology, Dolgoprudnyi, Russia, namelkin@mail.ru)
Abstract Resonance rotations of the form s:n (where s and n are integers), for which the pendulum executes exactly s rotations during n oscillations of the suspension point are investigated for a plane pendulum with a vibrating suspension point, when there is external and internal damping. It is shown analytically that asymptotically stable resonance rotations of the form 1:2, 1:3, 2:1, 2:3 and 3:1 exist. Many other resonance rotations of higher orders are found from the results of a numerical experiment.
Received 29 January 2015
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