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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. ред. / Manolis Papadrakakis; Michalis Fragiadakis. Том III Greece : National Technical University of Athens (NTUA), 2019. стр. 3593-3602 (COMPDYN Proceedings; Том 2).

Результаты исследований: Публикации в книгах, отчётах, сборниках, трудах конференций › статья в сборнике материалов конференции › научная › Рецензирование

Harvard

Tovstik, TM, Belyaev, AK, Kulizhnikov, DB, Morozov, NF, Tovstik, PE & Tovstik, TM 2019, On an attraction basin of the generalized Kapitsas problem. в M Papadrakakis & M Fragiadakis (ред.), COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. Том. III, COMPDYN Proceedings, Том. 2, National Technical University of Athens (NTUA), Greece, стр. 3593-3602, 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, COMPDYN 2019, Hersonissos, Греция, 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. в M. Papadrakakis, & M. Fragiadakis (Ред.), COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings (Том III, стр. 3593-3602). (COMPDYN Proceedings; Том 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. в Papadrakakis M, Fragiadakis M, Редакторы, COMPDYN 2019 - 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering, Proceedings. Том III. Greece: National Technical University of Athens (NTUA). 2019. стр. 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. Редактор / Manolis Papadrakakis ; Michalis Fragiadakis. Том III Greece : National Technical University of Athens (NTUA), 2019. стр. 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