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On an attraction basin of the generalized Kapitsas problem. / Tovstik, Tatiana M.; Belyaev, Alexander K.; Kulizhnikov, Dmitriy B.; Morozov, Nikita F.; Tovstik, Petr E.; Tovstik, Tatiana M.

COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. ed. / Manolis Papadrakakis; Michalis Fragiadakis. Vol. III Greece : National Technical University of Athens (NTUA), 2019. p. 3593-3602 (COMPDYN Proceedings; Vol. 2).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Research › peer-review

Harvard

Tovstik, TM, Belyaev, AK, Kulizhnikov, DB, Morozov, NF, Tovstik, PE & Tovstik, TM 2019, On an attraction basin of the generalized Kapitsas problem. in M Papadrakakis & M Fragiadakis (eds), COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. vol. III, COMPDYN Proceedings, vol. 2, National Technical University of Athens (NTUA), Greece, pp. 3593-3602, 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019, Hersonissos, Greece, 24/06/19. https://doi.org/10.7712/120119.7172.18880

APA

Tovstik, T. M., Belyaev, A. K., Kulizhnikov, D. B., Morozov, N. F., Tovstik, P. E., & Tovstik, T. M. (2019). On an attraction basin of the generalized Kapitsas problem. In M. Papadrakakis, & M. Fragiadakis (Eds.), COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings (Vol. III, pp. 3593-3602). (COMPDYN Proceedings; Vol. 2). National Technical University of Athens (NTUA). https://doi.org/10.7712/120119.7172.18880

Vancouver

Tovstik TM, Belyaev AK, Kulizhnikov DB, Morozov NF, Tovstik PE, Tovstik TM. On an attraction basin of the generalized Kapitsas problem. In Papadrakakis M, Fragiadakis M, editors, COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. Vol. III. Greece: National Technical University of Athens (NTUA). 2019. p. 3593-3602. (COMPDYN Proceedings). https://doi.org/10.7712/120119.7172.18880

Author

Tovstik, Tatiana M. ; Belyaev, Alexander K. ; Kulizhnikov, Dmitriy B. ; Morozov, Nikita F. ; Tovstik, Petr E. ; Tovstik, Tatiana M. / On an attraction basin of the generalized Kapitsas problem. COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. editor / Manolis Papadrakakis ; Michalis Fragiadakis. Vol. III Greece : National Technical University of Athens (NTUA), 2019. pp. 3593-3602 (COMPDYN Proceedings).

BibTeX

@inproceedings{31df3fc54ecf4c2a9b3110acbee7a58e,
title = "On an attraction basin of the generalized Kapitsas problem",
abstract = "The classic Kapitsa{\textquoteright}s problem and its various generalizations about a stability of an inverted pendulum under action of vertical vibrations of support are investigated. By using asymptotic method of two-scale expansions the level of vibrations such, that the vertical position of rod is stable, are found. An attraction basin of a vertical position of rod in the case when this position is stable is found. The both harmonic and random stationary vibrations of support are considered.",
keywords = "Attraction basin, Harmonic, Kapitsa{\textquoteright}s pendulum, Random vibrations, Stability, Two-scale asymptotic expansions",
author = "Tovstik, {Tatiana M.} and Belyaev, {Alexander K.} and Kulizhnikov, {Dmitriy B.} and Morozov, {Nikita F.} and Tovstik, {Petr E.} and Tovstik, {Tatiana M.}",
note = "Funding Information: This research was carried out with the financial support of the Russian Foundation for Basic Research (grant no. 19.01.00208-a, 16.51.52025 MHT-a, 17-01-00267-a). Publisher Copyright: {\textcopyright} 2019 The authors. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.; 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019 ; Conference date: 24-06-2019 Through 26-06-2019",
year = "2019",
doi = "10.7712/120119.7172.18880",
language = "English",
volume = "III",
series = "COMPDYN Proceedings",
publisher = "National Technical University of Athens (NTUA)",
pages = "3593--3602",
editor = "Manolis Papadrakakis and Michalis Fragiadakis",
booktitle = "COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings",
address = "Greece",
url = "https://2019.compdyn.org",

}

RIS

TY - GEN

T1 - On an attraction basin of the generalized Kapitsas problem

AU - Tovstik, Tatiana M.

AU - Belyaev, Alexander K.

AU - Kulizhnikov, Dmitriy B.

AU - Morozov, Nikita F.

AU - Tovstik, Petr E.

AU - Tovstik, Tatiana M.

N1 - Conference code: 7th

PY - 2019

Y1 - 2019

N2 - The classic Kapitsa’s problem and its various generalizations about a stability of an inverted pendulum under action of vertical vibrations of support are investigated. By using asymptotic method of two-scale expansions the level of vibrations such, that the vertical position of rod is stable, are found. An attraction basin of a vertical position of rod in the case when this position is stable is found. The both harmonic and random stationary vibrations of support are considered.

AB - The classic Kapitsa’s problem and its various generalizations about a stability of an inverted pendulum under action of vertical vibrations of support are investigated. By using asymptotic method of two-scale expansions the level of vibrations such, that the vertical position of rod is stable, are found. An attraction basin of a vertical position of rod in the case when this position is stable is found. The both harmonic and random stationary vibrations of support are considered.

KW - Attraction basin

KW - Harmonic

KW - Kapitsa’s pendulum

KW - Random vibrations

KW - Stability

KW - Two-scale asymptotic expansions

UR - http://www.scopus.com/inward/record.url?scp=85079068123&partnerID=8YFLogxK

U2 - 10.7712/120119.7172.18880

DO - 10.7712/120119.7172.18880

M3 - Conference contribution

AN - SCOPUS:85079068123

VL - III

T3 - COMPDYN Proceedings

SP - 3593

EP - 3602

BT - COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings

A2 - Papadrakakis, Manolis

A2 - Fragiadakis, Michalis

PB - National Technical University of Athens (NTUA)

CY - Greece

T2 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019

Y2 - 24 June 2019 through 26 June 2019

ER -

ID: 49647491