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The Kapitsa's problem for a deformable rod. / Belyaev, A. K.; Morozov, N. F.; Tovstik, P. E.; Tovstik, T. P.

EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ed. / E Kustova; G Leonov; N Morosov; M Yushkov; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. 020001 (AIP Conference Proceedings; Vol. 1959).

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

Harvard

Belyaev, AK, Morozov, NF, Tovstik, PE & Tovstik, TP 2018, The Kapitsa's problem for a deformable rod. in E Kustova, G Leonov, N Morosov, M Yushkov & M Mekhonoshina (eds), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. vol. 1959, 020001, AIP Conference Proceedings, vol. 1959, American Institute of Physics, International Scientific Conference on Mechanics - Eighth Polyakhov's Reading, Saint Petersburg, Russian Federation, 29/01/18. https://doi.org/10.1063/1.5034577

APA

Belyaev, A. K., Morozov, N. F., Tovstik, P. E., & Tovstik, T. P. (2018). The Kapitsa's problem for a deformable rod. In E. Kustova, G. Leonov, N. Morosov, M. Yushkov, & M. Mekhonoshina (Eds.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics (Vol. 1959). [020001] (AIP Conference Proceedings; Vol. 1959). American Institute of Physics. https://doi.org/10.1063/1.5034577

Vancouver

Belyaev AK, Morozov NF, Tovstik PE, Tovstik TP. The Kapitsa's problem for a deformable rod. In Kustova E, Leonov G, Morosov N, Yushkov M, Mekhonoshina M, editors, EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. Vol. 1959. American Institute of Physics. 2018. 020001. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034577

Author

Belyaev, A. K. ; Morozov, N. F. ; Tovstik, P. E. ; Tovstik, T. P. / The Kapitsa's problem for a deformable rod. EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. editor / E Kustova ; G Leonov ; N Morosov ; M Yushkov ; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{b3cbc2bc2e444d879dc7cfc7199a053c,
title = "The Kapitsa's problem for a deformable rod",
abstract = "A vertical rod with a free upper end and with a clumped or a simply supported lower end is considered. The support is subjected to harmonic vibrations. The aim is to find the level of vibrations such that the vertical position of rod is stable. Both bending and longitudinal vibrations are taken into account. To describe the bending vibrations the model of Bernoulli-Euler beam is applied. In order to determine the critical value of the vibration the two-scaled asymptotic expansions are used.",
keywords = "THIN ROD",
author = "Belyaev, {A. K.} and Morozov, {N. F.} and Tovstik, {P. E.} and Tovstik, {T. P.}",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034577",
language = "English",
volume = "1959",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics",
editor = "E Kustova and G Leonov and N Morosov and M Yushkov and M Mekhonoshina",
booktitle = "EIGHTH POLYAKHOV'S READING",
address = "United States",
note = "International Scientific Conference on Mechanics - Eighth Polyakhov's Reading : 8th Polyakhov's Reading ; Conference date: 29-01-2018 Through 02-02-2018",
url = "https://events.spbu.ru/events/polyakhov_readings, http://nanomat.spbu.ru/en/node/175, http://nanomat.spbu.ru/ru/node/192, http://spbu.ru/news-events/calendar/viii-polyahovskie-chteniya",

}

RIS

TY - GEN

T1 - The Kapitsa's problem for a deformable rod

AU - Belyaev, A. K.

AU - Morozov, N. F.

AU - Tovstik, P. E.

AU - Tovstik, T. P.

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

N2 - A vertical rod with a free upper end and with a clumped or a simply supported lower end is considered. The support is subjected to harmonic vibrations. The aim is to find the level of vibrations such that the vertical position of rod is stable. Both bending and longitudinal vibrations are taken into account. To describe the bending vibrations the model of Bernoulli-Euler beam is applied. In order to determine the critical value of the vibration the two-scaled asymptotic expansions are used.

AB - A vertical rod with a free upper end and with a clumped or a simply supported lower end is considered. The support is subjected to harmonic vibrations. The aim is to find the level of vibrations such that the vertical position of rod is stable. Both bending and longitudinal vibrations are taken into account. To describe the bending vibrations the model of Bernoulli-Euler beam is applied. In order to determine the critical value of the vibration the two-scaled asymptotic expansions are used.

KW - THIN ROD

UR - http://www.scopus.com/inward/record.url?scp=85047183643&partnerID=8YFLogxK

U2 - 10.1063/1.5034577

DO - 10.1063/1.5034577

M3 - Conference contribution

AN - SCOPUS:85047183643

VL - 1959

T3 - AIP Conference Proceedings

BT - EIGHTH POLYAKHOV'S READING

A2 - Kustova, E

A2 - Leonov, G

A2 - Morosov, N

A2 - Yushkov, M

A2 - Mekhonoshina, M

PB - American Institute of Physics

T2 - International Scientific Conference on Mechanics - Eighth Polyakhov's Reading

Y2 - 29 January 2018 through 2 February 2018

ER -

ID: 35497626