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
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.
servo-constraints, d’Alembert–Lagrange principle, virtual displacements, Gauss principle, Noether theorem.
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Valery V. Kozlov, “Principles of dynamics and servo-constraints”, Nelin. Dinam., 11:1 (2015), 169–178
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\paper Principles of dynamics and servo-constraints
\jour Nelin. Dinam.
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