The generalized formula for angular velocity vector of the moving coordinate system

Vladislav S. Ermolin; Tatyana V. Vlasova

doi:10.1063/1.5034588

The generalized formula for angular velocity vector of the moving coordinate system

Vladislav S. Ermolin, Tatyana V. Vlasova

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

1 Цитирования (Scopus)

Аннотация

There are various ways for introducing the concept of the instantaneous angular velocity vector. In this paper we propose a method based on introducing of this concept by construction of the solution for the system of kinematic equations. These equations connect the function vectors defining the motion of the basis, and their derivatives. Necessary and sufficient conditions for the existence and uniqueness of the solution of this system are established. The instantaneous angular velocity vector is a solution of the algebraic system of equations. It is built explicitly. The derived formulas for the angular velocity vector generalize the earlier results, both for a basis of an affine oblique coordinate system and for an orthonormal basis.

Язык оригинала	английский
Название основной публикации	EIGHTH POLYAKHOV'S READING
Подзаголовок основной публикации	Proceedings of the International Scientific Conference on Mechanics, 8th Polyakhov's Reading
Редакторы	E Kustova, G Leonov, N Morosov, M Yushkov, M Mekhonoshina
Издатель	American Institute of Physics
Число страниц	7
Том	1959
ISBN (электронное издание)	9780735416604
DOI	https://doi.org/10.1063/1.5034588
Состояние	Опубликовано - 2 мая 2018
Событие	Восьмые Поляховские чтения: международная научная конференция по механике - Старый Петергоф, Saint Petersburg, Российская Федерация Продолжительность: 29 янв 2018 → 2 фев 2018 Номер конференции: 8 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

Серия публикаций

Название	AIP Conference Proceedings
Издатель	AMER INST PHYSICS
Том	1959
ISSN (печатное издание)	0094-243X

конференция

конференция	Восьмые Поляховские чтения
Страна	Российская Федерация
Город	Saint Petersburg
Период	29/01/18 → 2/02/18
Адрес в сети Интернет	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

Предметные области Scopus

Физика и астрономия (все)

Доступ к документу

10.1063/1.5034588

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Цитировать

Ermolin, V. S., & Vlasova, T. V. (2018). The generalized formula for angular velocity vector of the moving coordinate system. В E. Kustova, G. Leonov, N. Morosov, M. Yushkov, & M. Mekhonoshina (Ред.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics, 8th Polyakhov's Reading (Том 1959). [030008] (AIP Conference Proceedings; Том 1959). American Institute of Physics. https://doi.org/10.1063/1.5034588

Ermolin, Vladislav S. ; Vlasova, Tatyana V. / The generalized formula for angular velocity vector of the moving coordinate system. EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics, 8th Polyakhov's Reading. редактор / E Kustova ; G Leonov ; N Morosov ; M Yushkov ; M Mekhonoshina. Том 1959 American Institute of Physics, 2018. (AIP Conference Proceedings).

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Ermolin, VS & Vlasova, TV 2018, The generalized formula for angular velocity vector of the moving coordinate system. в E Kustova, G Leonov, N Morosov, M Yushkov & M Mekhonoshina (ред.), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics, 8th Polyakhov's Reading. том. 1959, 030008, AIP Conference Proceedings, том. 1959, American Institute of Physics, Восьмые Поляховские чтения, Saint Petersburg, Российская Федерация, 29/01/18. https://doi.org/10.1063/1.5034588

The generalized formula for angular velocity vector of the moving coordinate system. / Ermolin, Vladislav S.; Vlasova, Tatyana V.

EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics, 8th Polyakhov's Reading. ред. / E Kustova; G Leonov; N Morosov; M Yushkov; M Mekhonoshina. Том 1959 American Institute of Physics, 2018. 030008 (AIP Conference Proceedings; Том 1959).

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

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Ermolin VS, Vlasova TV. The generalized formula for angular velocity vector of the moving coordinate system. В Kustova E, Leonov G, Morosov N, Yushkov M, Mekhonoshina M, редакторы, EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics, 8th Polyakhov's Reading. Том 1959. American Institute of Physics. 2018. 030008. (AIP Conference Proceedings). https://doi.org/10.1063/1.5034588