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Nelin. Dinam., 2015, Volume 11, Number 1, Pages 169–178 (Mi nd471)  

This article is cited in 1 scientific paper (total in 1 paper)

Principles of dynamics and servo-constraints

Valery V. Kozlov

Steklov Mathematical Institute, Russian Academy of Sciences Gubkina st. 8, Moscow, 119991, Russia

Abstract: It is well known that in the Béghin–Appel theory servo-constraints are realized using controlled external forces. In this paper an expansion of the Béghin–Appel theory is given in the case where servo-constraints are realized using controlled change of the inertial properties of a dynamical system. The analytical mechanics of dynamical systems with servo-constraints of general form is discussed. The key principle of the approach developed is to appropriately determine virtual displacements of systems with constraints.

Keywords: servo-constraints, dAlembert–Lagrange principle, virtual displacements, Gauss principle, Noether theorem.

Full text: PDF file (307 kB)
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Document Type: Article
UDC: 531.36
MSC: 70E17
Received: 29.01.2015
Revised: 04.02.2015

Citation: Valery V. Kozlov, “Principles of dynamics and servo-constraints”, Nelin. Dinam., 11:1 (2015), 169–178

Citation in format AMSBIB
\Bibitem{Koz15}
\by Valery~V.~Kozlov
\paper Principles of dynamics and servo-constraints
\jour Nelin. Dinam.
\yr 2015
\vol 11
\issue 1
\pages 169--178
\mathnet{http://mi.mathnet.ru/nd471}
\elib{http://elibrary.ru/item.asp?id=23051495}


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    This publication is cited in the following articles:
    1. B. I. Adamov, “A Study of the Controlled Motion of a Four-wheeled Mecanum Platform”, Nelineinaya dinam., 14:2 (2018), 265–290  mathnet  crossref
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