Standard

Dynamic equations for the non-holonomic systems with the higher order constraints. III. / Zegzhda, S. A.; Filippov, N. G.; Yushkov, M. P.

In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, No. 2, 2000, p. 61-72.

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

Harvard

Zegzhda, SA, Filippov, NG & Yushkov, MP 2000, 'Dynamic equations for the non-holonomic systems with the higher order constraints. III', Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, no. 2, pp. 61-72.

APA

Zegzhda, S. A., Filippov, N. G., & Yushkov, M. P. (2000). Dynamic equations for the non-holonomic systems with the higher order constraints. III. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya, (2), 61-72.

Vancouver

Zegzhda SA, Filippov NG, Yushkov MP. Dynamic equations for the non-holonomic systems with the higher order constraints. III. Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 2000;(2):61-72.

Author

Zegzhda, S. A. ; Filippov, N. G. ; Yushkov, M. P. / Dynamic equations for the non-holonomic systems with the higher order constraints. III. In: Vestnik Sankt-Peterburgskogo Universiteta. Ser 1. Matematika Mekhanika Astronomiya. 2000 ; No. 2. pp. 61-72.

BibTeX

@article{69e4838fe7b1449eb8d113010a075e52,
title = "Dynamic equations for the non-holonomic systems with the higher order constraints. III",
abstract = "The apparatus of the non-holonomic mechanics developed for deriving of the motion equations for the systems with the higher order constraints is applied for the solution of the combined problems of dynamics. In combined problems the system moves under the given system of active forces satisfying the program of the motion. This program is written on the form of an additional system of differential equation of the higher order (the higher order constraints). The control forces (the generalized higher order constraints) are treated as auxiliary unknown functions in time. To obtain the generalized coordinates and control forces the joint system of differential equations is constructed. The proposed theory is illustrated with the example of the motion of a spaceship the acceleration of which is constant in modulus since some moment of time. This condition is treated as a non-linear non-holonomic constrain of the second order.",
author = "Zegzhda, {S. A.} and Filippov, {N. G.} and Yushkov, {M. P.}",
note = "Copyright: Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.",
year = "2000",
language = "English",
pages = "61--72",
journal = "ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ",
issn = "1025-3106",
publisher = "Издательство Санкт-Петербургского университета",
number = "2",

}

RIS

TY - JOUR

T1 - Dynamic equations for the non-holonomic systems with the higher order constraints. III

AU - Zegzhda, S. A.

AU - Filippov, N. G.

AU - Yushkov, M. P.

N1 - Copyright: Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.

PY - 2000

Y1 - 2000

N2 - The apparatus of the non-holonomic mechanics developed for deriving of the motion equations for the systems with the higher order constraints is applied for the solution of the combined problems of dynamics. In combined problems the system moves under the given system of active forces satisfying the program of the motion. This program is written on the form of an additional system of differential equation of the higher order (the higher order constraints). The control forces (the generalized higher order constraints) are treated as auxiliary unknown functions in time. To obtain the generalized coordinates and control forces the joint system of differential equations is constructed. The proposed theory is illustrated with the example of the motion of a spaceship the acceleration of which is constant in modulus since some moment of time. This condition is treated as a non-linear non-holonomic constrain of the second order.

AB - The apparatus of the non-holonomic mechanics developed for deriving of the motion equations for the systems with the higher order constraints is applied for the solution of the combined problems of dynamics. In combined problems the system moves under the given system of active forces satisfying the program of the motion. This program is written on the form of an additional system of differential equation of the higher order (the higher order constraints). The control forces (the generalized higher order constraints) are treated as auxiliary unknown functions in time. To obtain the generalized coordinates and control forces the joint system of differential equations is constructed. The proposed theory is illustrated with the example of the motion of a spaceship the acceleration of which is constant in modulus since some moment of time. This condition is treated as a non-linear non-holonomic constrain of the second order.

UR - http://www.scopus.com/inward/record.url?scp=0034588109&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0034588109

SP - 61

EP - 72

JO - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

JF - ВЕСТНИК САНКТ-ПЕТЕРБУРГСКОГО УНИВЕРСИТЕТА. МАТЕМАТИКА. МЕХАНИКА. АСТРОНОМИЯ

SN - 1025-3106

IS - 2

ER -

ID: 71886406