Abstract

The stability of the vertical position of an inverted pendulum under the action of support vibration and the attraction basin of this position are considered. In addition to the classical Kapitsa problem for the harmonic vibration of a support, the polyharmonic and random vibration of the support are investigated. The condition of stability of the vertical position is determined, and the attraction basin of this stable position is investigated.
Original languageEnglish
Pages (from-to)335-339
JournalDoklady Physics
Volume64
Issue number8
Early online date20 Sep 2019
Publication statusPublished - 2019

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attraction
Pendulums
vibration
random vibration
pendulums
harmonics

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@article{d65fb512fafd46a68168e68488e1b544,
title = "Attraction Basins in the Generalized Kapitsa Problem",
abstract = "The stability of the vertical position of an inverted pendulum under the action of support vibration and the attraction basin of this position are considered. In addition to the classical Kapitsa problem for the harmonic vibration of a support, the polyharmonic and random vibration of the support are investigated. The condition of stability of the vertical position is determined, and the attraction basin of this stable position is investigated.",
keywords = "physics, Attraction basin, Harmonic vibration, inverted pendulum, Random vibrations, Vertical positions, mechanical properties",
author = "N.F. Morozov and A.K. Belyaev and P.E. Tovstik and T.M. Tovstik and T.P. Tovstik",
note = "Morozov, N.F., Belyaev, A.K., Tovstik, P.E. et al. Dokl. Phys. (2019) 64: 335. https://doi.org/10.1134/S1028335819080056",
year = "2019",
language = "English",
volume = "64",
pages = "335--339",
journal = "Doklady Physics",
issn = "1028-3358",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "8",

}

TY - JOUR

T1 - Attraction Basins in the Generalized Kapitsa Problem

AU - Morozov, N.F.

AU - Belyaev, A.K.

AU - Tovstik, P.E.

AU - Tovstik, T.M.

AU - Tovstik, T.P.

N1 - Morozov, N.F., Belyaev, A.K., Tovstik, P.E. et al. Dokl. Phys. (2019) 64: 335. https://doi.org/10.1134/S1028335819080056

PY - 2019

Y1 - 2019

N2 - The stability of the vertical position of an inverted pendulum under the action of support vibration and the attraction basin of this position are considered. In addition to the classical Kapitsa problem for the harmonic vibration of a support, the polyharmonic and random vibration of the support are investigated. The condition of stability of the vertical position is determined, and the attraction basin of this stable position is investigated.

AB - The stability of the vertical position of an inverted pendulum under the action of support vibration and the attraction basin of this position are considered. In addition to the classical Kapitsa problem for the harmonic vibration of a support, the polyharmonic and random vibration of the support are investigated. The condition of stability of the vertical position is determined, and the attraction basin of this stable position is investigated.

KW - physics

KW - Attraction basin

KW - Harmonic vibration

KW - inverted pendulum

KW - Random vibrations

KW - Vertical positions

KW - mechanical properties

UR - https://link.springer.com/article/10.1134/S1028335819080056

M3 - Article

VL - 64

SP - 335

EP - 339

JO - Doklady Physics

JF - Doklady Physics

SN - 1028-3358

IS - 8

ER -