| | 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 (print version) |
Archive of Issues
Total articles in the database: | | 10522 |
In Russian (ÏÌÌ): | | 9723
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In English (J. Appl. Math. Mech.): | | 799 |
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<< Previous article | Volume 79, Issue 6 / 2015 | Next article >> |
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 |
Link to Fulltext |
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