Geodesic
Principles of dynamics and servo-constraints
Russian journal of nonlinear dynamics, Tome 11 (2015) no. 1, pp. 169-178

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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, d’Alembert–Lagrange principle, virtual displacements, Noether theorem.
Mots-clés : Gauss principle 
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     author = {Valery V. Kozlov},
     title = {Principles of dynamics and servo-constraints},
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     url = {http://geodesic.mathdoc.fr/item/ND_2015_11_1_a8/}
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Valery V. Kozlov. Principles of dynamics and servo-constraints. Russian journal of nonlinear dynamics, Tome 11 (2015) no. 1, pp. 169-178. http://geodesic.mathdoc.fr/item/ND_2015_11_1_a8/