A geometrical interpretation of the Poincaré- Chetayev- Rumyantsev equations

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A geometrical interpretation of the Poincaré- Chetayev- Rumyantsev equations. / Zegzhda, S. A.; Yushkov, M. P.

In: Journal of Applied Mathematics and Mechanics, Vol. 65, No. 5, 2001, p. 723-730.

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Author

Zegzhda, S. A. ; Yushkov, M. P. / A geometrical interpretation of the Poincaré- Chetayev- Rumyantsev equations. In: Journal of Applied Mathematics and Mechanics. 2001 ; Vol. 65, No. 5. pp. 723-730.

BibTeX

@article{2fd62720896d407f974fca3090a0c168,

title = "A geometrical interpretation of the Poincar{\'e}- Chetayev- Rumyantsev equations",

abstract = "By introducing a tangential space to the manifold of all possible positions of a mechanical system of equations, its motions are written in the form of a single vector equation, which has the form of Newton's second law. From this equation, written for ideal non-linear time-dependent non-holonomic first-order constraints, the Poincar{\'e}- Chetayev- Rumyantsev equations, as well as other fundamental types of equations of motion, are obtained.",

author = "Zegzhda, {S. A.} and Yushkov, {M. P.}",

year = "2001",

doi = "10.1016/S0021-8928(01)00078-8",

language = "English",

volume = "65",

pages = "723--730",

journal = "Journal of Applied Mathematics and Mechanics",

issn = "0021-8928",

publisher = "Elsevier",

number = "5",

}

RIS

TY - JOUR

T1 - A geometrical interpretation of the Poincaré- Chetayev- Rumyantsev equations

AU - Zegzhda, S. A.

AU - Yushkov, M. P.

PY - 2001

Y1 - 2001

N2 - By introducing a tangential space to the manifold of all possible positions of a mechanical system of equations, its motions are written in the form of a single vector equation, which has the form of Newton's second law. From this equation, written for ideal non-linear time-dependent non-holonomic first-order constraints, the Poincaré- Chetayev- Rumyantsev equations, as well as other fundamental types of equations of motion, are obtained.

AB - By introducing a tangential space to the manifold of all possible positions of a mechanical system of equations, its motions are written in the form of a single vector equation, which has the form of Newton's second law. From this equation, written for ideal non-linear time-dependent non-holonomic first-order constraints, the Poincaré- Chetayev- Rumyantsev equations, as well as other fundamental types of equations of motion, are obtained.

UR - http://www.scopus.com/inward/record.url?scp=0346311252&partnerID=8YFLogxK

U2 - 10.1016/S0021-8928(01)00078-8

DO - 10.1016/S0021-8928(01)00078-8

M3 - Article

AN - SCOPUS:0346311252

VL - 65

SP - 723

EP - 730

JO - Journal of Applied Mathematics and Mechanics

JF - Journal of Applied Mathematics and Mechanics

SN - 0021-8928

IS - 5

ER -

ID: 71885959