 | | 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: | | 10512 |
| In Russian (ÏÌÌ): | | 9713
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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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