Standard

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. ed. / E Kustova; G Leonov; N Morosov; M Yushkov; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. 030008 (AIP Conference Proceedings; Vol. 1959).

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

Harvard

Ermolin, VS & Vlasova, TV 2018, The generalized formula for angular velocity vector of the moving coordinate system. in E Kustova, G Leonov, N Morosov, M Yushkov & M Mekhonoshina (eds), EIGHTH POLYAKHOV'S READING: Proceedings of the International Scientific Conference on Mechanics, 8th Polyakhov's Reading. vol. 1959, 030008, 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/10.1063/1.5034588

APA

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

Vancouver

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

Author

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. editor / E Kustova ; G Leonov ; N Morosov ; M Yushkov ; M Mekhonoshina. Vol. 1959 American Institute of Physics, 2018. (AIP Conference Proceedings).

BibTeX

@inproceedings{1279919fcb9d455fb7a2b72fa7ce68b2,
title = "The generalized formula for angular velocity vector of the moving coordinate system",
abstract = "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.",
keywords = "Angular Velocity Vector, Instantaneous Angular Velocity, Moving Frame, Moving Basis, Basic Basis, Reciprocal Basis, Mutual Basis, Matrix of Metric Coefficients, Affine Coordinate System",
author = "Ermolin, {Vladislav S.} and Vlasova, {Tatyana V.}",
year = "2018",
month = may,
day = "2",
doi = "10.1063/1.5034588",
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 generalized formula for angular velocity vector of the moving coordinate system

AU - Ermolin, Vladislav S.

AU - Vlasova, Tatyana V.

N1 - Conference code: 8

PY - 2018/5/2

Y1 - 2018/5/2

N2 - 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.

AB - 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.

KW - Angular Velocity Vector

KW - Instantaneous Angular Velocity

KW - Moving Frame

KW - Moving Basis

KW - Basic Basis

KW - Reciprocal Basis

KW - Mutual Basis

KW - Matrix of Metric Coefficients

KW - Affine Coordinate System

UR - http://www.scopus.com/inward/record.url?scp=85047228618&partnerID=8YFLogxK

U2 - 10.1063/1.5034588

DO - 10.1063/1.5034588

M3 - Conference contribution

AN - SCOPUS:85047228618

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: 35153257