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On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich. / Борисов, А.В.; Цыганов, Андрей Владимирович.

In: Theoretical and Applied Mechanics, Vol. 47, No. 2, 12.2020, p. 155-168.

Research output: Contribution to journal › Article › peer-review

Harvard

Борисов, АВ & Цыганов, АВ 2020, 'On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich', Theoretical and Applied Mechanics, vol. 47, no. 2, pp. 155-168. https://doi.org/10.2298/TAM200120009B

APA

Борисов, А. В., & Цыганов, А. В. (2020). On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich. Theoretical and Applied Mechanics, 47(2), 155-168. https://doi.org/10.2298/TAM200120009B

Vancouver

Борисов АВ, Цыганов АВ. On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich. Theoretical and Applied Mechanics. 2020 Dec;47(2):155-168. https://doi.org/10.2298/TAM200120009B

Author

Борисов, А.В. ; Цыганов, Андрей Владимирович. / On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich. In: Theoretical and Applied Mechanics. 2020 ; Vol. 47, No. 2. pp. 155-168.

BibTeX

@article{a5d78dffc9af4cb78adf8c1ee6b50cdf,
title = "On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich",
abstract = "In 1913 A.D. Bilimovich observed that rheonomic linear and homogeneous in generalized velocities constraints are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations which scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovich system equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.",
author = "А.В. Борисов and Цыганов, {Андрей Владимирович}",
year = "2020",
month = dec,
doi = "10.2298/TAM200120009B",
language = "English",
volume = "47",
pages = "155--168",
journal = "Theoretical and Applied Mechanics",
issn = "1450-5584",
publisher = "Serbian Society for Mechanics",
number = "2",

}

RIS

TY - JOUR

T1 - On rheonomic nonholonomic deformations of the Euler equations proposed by Bilimovich

AU - Борисов, А.В.

AU - Цыганов, Андрей Владимирович

PY - 2020/12

Y1 - 2020/12

N2 - In 1913 A.D. Bilimovich observed that rheonomic linear and homogeneous in generalized velocities constraints are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations which scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovich system equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.

AB - In 1913 A.D. Bilimovich observed that rheonomic linear and homogeneous in generalized velocities constraints are ideal. As a typical example, he considered rheonomic nonholonomic deformation of the Euler equations which scleronomic version is equivalent to the nonholonomic Suslov system. For the Bilimovich system equations of motion are reduced to quadrature, which is discussed in rheonomic and scleronomic cases.

UR - https://www.mendeley.com/catalogue/11c2330f-283a-3d94-8c82-27260dbdf151/

U2 - 10.2298/TAM200120009B

DO - 10.2298/TAM200120009B

M3 - Article

VL - 47

SP - 155

EP - 168

JO - Theoretical and Applied Mechanics

JF - Theoretical and Applied Mechanics

SN - 1450-5584

IS - 2

ER -

ID: 70193782