Email this article Attraction basins in the generalized Kapitsa’s problem
- Authors: Morozov N.F.1, Belyaev А.К.2, Tovstik P.E.1, Tovstik T.M.1, Tovstik T.P.2
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Affiliations:
- Saint-Petersburg State University
- Institute of Problems in Mechanical Engineering of Russian Academy of Sciences
- Issue: Vol 487, No 5 (2019)
- Pages: 502-506
- Section: Mechanics
- URL: https://journals.eco-vector.com/0869-5652/article/view/15889
- DOI: https://doi.org/10.31857/S0869-56524875502-506
- ID: 15889
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Abstract
Stability of vertical position of an inverted pendulum under action of support vibration as well as the attraction basin of this position is considered. In addition to the classic Kapitsa problem for the harmonic vibration of support, the poly-harmonic and random vibration of support is investigated. The condition of stability of vertical position is determined and the attraction basin of this stable position is studied.
About the authors
N. F. Morozov
Saint-Petersburg State University
Author for correspondence.
Email: morozov@nm1016.spb.edu
Academician of the Russian Academy of Sciences
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034А. К. Belyaev
Institute of Problems in Mechanical Engineering of Russian Academy of Sciences
Email: morozov@nm1016.spb.edu
Russian Federation, 61, Bol'shoy prospect, V.O., St. Petersburg, 199178
P. E. Tovstik
Saint-Petersburg State University
Email: morozov@nm1016.spb.edu
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034
T. M. Tovstik
Saint-Petersburg State University
Email: morozov@nm1016.spb.edu
Russian Federation, 7/9, Universitetskaya embankment, Saint-Petersburg, 199034
T. P. Tovstik
Institute of Problems in Mechanical Engineering of Russian Academy of Sciences
Email: tovstik_t@mail.ru
Russian Federation, 61, Bol'shoy prospect, V.O., St. Petersburg, 199178
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