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Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame. / Ermolin, Vladislav S. ; Vlasova, Tatyana V. .

Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. ред. / Николай Смирнов; Анна Головкина. Switzerland : Springer Nature, 2022. стр. 483-492 (Lecture Notes in Control and Information Sciences - Proceedings).

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

Harvard

Ermolin, VS & Vlasova, TV 2022, Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame. в Н Смирнов & А Головкина (ред.), Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. Lecture Notes in Control and Information Sciences - Proceedings, Springer Nature, Switzerland, стр. 483-492, Stability and Control Processes, Saint Petersburg, Российская Федерация, 5/10/20. https://doi.org/10.1007/978-3-030-87966-2_53

APA

Ermolin, V. S., & Vlasova, T. V. (2022). Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame. в Н. Смирнов, & А. Головкина (Ред.), Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov (стр. 483-492). (Lecture Notes in Control and Information Sciences - Proceedings). Springer Nature. https://doi.org/10.1007/978-3-030-87966-2_53

Vancouver

Ermolin VS, Vlasova TV. Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame. в Смирнов Н, Головкина А, Редакторы, Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. Switzerland: Springer Nature. 2022. стр. 483-492. (Lecture Notes in Control and Information Sciences - Proceedings). https://doi.org/10.1007/978-3-030-87966-2_53

Author

Ermolin, Vladislav S. ; Vlasova, Tatyana V. . / Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame. Stability and Control Processes: Proceedings of the 4th International Conference Dedicated to the Memory of Professor Vladimir Zubov. Редактор / Николай Смирнов ; Анна Головкина. Switzerland : Springer Nature, 2022. стр. 483-492 (Lecture Notes in Control and Information Sciences - Proceedings).

BibTeX

@inproceedings{f277474a99014128befeb4dee9b1c8c0,
title = "Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame",
abstract = "In this paper, we consider a Cartesian moving reference frame. Its angular velocity vector is introduced as a solution to a system of kinematic equations of basis vectors. These equations connect the position of the basis vectors with their velocity. The construction of a formula for the angular velocity vector of an orthonormal basis is described. It is shown that the angular velocity vector in the found form is a solution to the system of the equations. Using transformations of the constructed solution, four more representation forms of the angular velocity vector are derived. It is shown that all the obtained forms define the same angular velocity vector of the moving space, though they contain different elements. All of the forms are also solutions of the system of kinematic equations. Presented results can be applied both to a solid body and to any rigid system.",
author = "Ermolin, {Vladislav S.} and Vlasova, {Tatyana V.}",
note = "Ermolin, V.S., Vlasova, T.V. (2022). Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame. In: Smirnov, N., Golovkina, A. (eds) Stability and Control Processes. SCP 2020. Lecture Notes in Control and Information Sciences - Proceedings. Springer, Cham. https://doi.org/10.1007/978-3-030-87966-2_53; Stability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov : Dedicated to the Memory of Professor Vladimir Zubov, SCP2020 ; Conference date: 05-10-2020 Through 09-10-2020",
year = "2022",
month = mar,
doi = "10.1007/978-3-030-87966-2_53",
language = "English",
isbn = "978-3-030-87965-5",
series = "Lecture Notes in Control and Information Sciences - Proceedings",
publisher = "Springer Nature",
pages = "483--492",
editor = "Николай Смирнов and Анна Головкина",
booktitle = "Stability and Control Processes",
address = "Germany",
url = "http://www.apmath.spbu.ru/scp2020/, http://www.apmath.spbu.ru/scp2020/ru/main/, http://www.apmath.spbu.ru/scp2020/eng/program/#schedule, https://link.springer.com/conference/scp",

}

RIS

TY - GEN

T1 - Representation Forms of the Angular Velocity Vector for an Orthonormal Basis of a Moving Frame

AU - Ermolin, Vladislav S.

AU - Vlasova, Tatyana V.

N1 - Conference code: 4

PY - 2022/3

Y1 - 2022/3

N2 - In this paper, we consider a Cartesian moving reference frame. Its angular velocity vector is introduced as a solution to a system of kinematic equations of basis vectors. These equations connect the position of the basis vectors with their velocity. The construction of a formula for the angular velocity vector of an orthonormal basis is described. It is shown that the angular velocity vector in the found form is a solution to the system of the equations. Using transformations of the constructed solution, four more representation forms of the angular velocity vector are derived. It is shown that all the obtained forms define the same angular velocity vector of the moving space, though they contain different elements. All of the forms are also solutions of the system of kinematic equations. Presented results can be applied both to a solid body and to any rigid system.

AB - In this paper, we consider a Cartesian moving reference frame. Its angular velocity vector is introduced as a solution to a system of kinematic equations of basis vectors. These equations connect the position of the basis vectors with their velocity. The construction of a formula for the angular velocity vector of an orthonormal basis is described. It is shown that the angular velocity vector in the found form is a solution to the system of the equations. Using transformations of the constructed solution, four more representation forms of the angular velocity vector are derived. It is shown that all the obtained forms define the same angular velocity vector of the moving space, though they contain different elements. All of the forms are also solutions of the system of kinematic equations. Presented results can be applied both to a solid body and to any rigid system.

UR - https://www.mendeley.com/catalogue/57b815f0-9966-365c-98e4-571d8cabbd8b/

U2 - 10.1007/978-3-030-87966-2_53

DO - 10.1007/978-3-030-87966-2_53

M3 - Conference contribution

SN - 978-3-030-87965-5

T3 - Lecture Notes in Control and Information Sciences - Proceedings

SP - 483

EP - 492

BT - Stability and Control Processes

A2 - Смирнов, Николай

A2 - Головкина, Анна

PB - Springer Nature

CY - Switzerland

T2 - Stability and Control Processes: International Conference Dedicated to the Memory of Professor Vladimir Zubov

Y2 - 5 October 2020 through 9 October 2020

ER -

ID: 96240804