Standard

On the monoaxial stabilization of a rigid body under vanishing restoring torque. / Aleksandrov, A. Yu; Aleksandrova, E. B.; Tikhonov, A. A.

EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. ред. / E Kustova; G Leonov; N Morosov; M Yushkov; M Mekhonoshina. Том 1959 American Institute of Physics, 2018. 080001 (AIP Conference Proceedings; Том 1959).

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

Harvard

Aleksandrov, AY, Aleksandrova, EB & Tikhonov, AA 2018, On the monoaxial stabilization of a rigid body under vanishing restoring torque. в E Kustova, G Leonov, N Morosov, M Yushkov & M Mekhonoshina (ред.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. Том. 1959, 080001, AIP Conference Proceedings, Том. 1959, American Institute of Physics, VIII Поляховские чтения, Saint Petersburg, Российская Федерация, 29/01/18. https://doi.org/10.1063/1.5034718

APA

Aleksandrov, A. Y., Aleksandrova, E. B., & Tikhonov, A. A. (2018). On the monoaxial stabilization of a rigid body under vanishing restoring torque. в E. Kustova, G. Leonov, N. Morosov, M. Yushkov, & M. Mekhonoshina (Ред.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics (Том 1959). [080001] (AIP Conference Proceedings; Том 1959). American Institute of Physics. https://doi.org/10.1063/1.5034718

Vancouver

Aleksandrov AY, Aleksandrova EB, Tikhonov AA. On the monoaxial stabilization of a rigid body under vanishing restoring torque. в Kustova E, Leonov G, Morosov N, Yushkov M, Mekhonoshina M, Редакторы, EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. Том 1959. American Institute of Physics. 2018. 080001. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034718

Author

Aleksandrov, A. Yu ; Aleksandrova, E. B. ; Tikhonov, A. A. / On the monoaxial stabilization of a rigid body under vanishing restoring torque. EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics. Редактор / E Kustova ; G Leonov ; N Morosov ; M Yushkov ; M Mekhonoshina. Том 1959 American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{acc75a8c450247b5b12d7befff52b291,
title = "On the monoaxial stabilization of a rigid body under vanishing restoring torque",
abstract = "The problem of monoaxial stabilization of a rigid body is studied. It is assumed that a linear time-invariant dissipative torque and a time-varying restoring torque vanishing as time increases act on the body. Both the case of linear restoring torque and that of essentially nonlinear one are considered. With the aid of the decomposition method, conditions are obtained under which we can guarantee the asymptotic stability of an equilibrium position of the body despite the vanishing of the restoring torque. A numerical simulation is provided to demonstrate the effectiveness of our theoretical results.",
keywords = "COORDINATE SYSTEM, ELECTRODYNAMIC STABILIZATION, EQUILIBRIUM, STABILITY",
author = "Aleksandrov, {A. Yu} and Aleksandrova, {E. B.} and Tikhonov, {A. A.}",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034718",
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 - On the monoaxial stabilization of a rigid body under vanishing restoring torque

AU - Aleksandrov, A. Yu

AU - Aleksandrova, E. B.

AU - Tikhonov, A. A.

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

N2 - The problem of monoaxial stabilization of a rigid body is studied. It is assumed that a linear time-invariant dissipative torque and a time-varying restoring torque vanishing as time increases act on the body. Both the case of linear restoring torque and that of essentially nonlinear one are considered. With the aid of the decomposition method, conditions are obtained under which we can guarantee the asymptotic stability of an equilibrium position of the body despite the vanishing of the restoring torque. A numerical simulation is provided to demonstrate the effectiveness of our theoretical results.

AB - The problem of monoaxial stabilization of a rigid body is studied. It is assumed that a linear time-invariant dissipative torque and a time-varying restoring torque vanishing as time increases act on the body. Both the case of linear restoring torque and that of essentially nonlinear one are considered. With the aid of the decomposition method, conditions are obtained under which we can guarantee the asymptotic stability of an equilibrium position of the body despite the vanishing of the restoring torque. A numerical simulation is provided to demonstrate the effectiveness of our theoretical results.

KW - COORDINATE SYSTEM

KW - ELECTRODYNAMIC STABILIZATION

KW - EQUILIBRIUM

KW - STABILITY

UR - http://www.scopus.com/inward/record.url?scp=85047182258&partnerID=8YFLogxK

U2 - 10.1063/1.5034718

DO - 10.1063/1.5034718

M3 - Conference contribution

AN - SCOPUS:85047182258

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: 28177353