Realization of holonomic constraints
Journal of Applied Mathematics and Mechanics, 1990, vol. 54, no. 5, pp. 705–708
Abstract
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The idea of realizing holonomic constraints by means of elastic forces was proposed by Lecornu, Klein and Prandtl [1] when dealing with the paradox of dry friction discovered by Painleve. The general theorem on the realization of holonomic constraints with the help of elastic forces directed towards the configurational manifold of a constrained system was proposed by Courant and was proved in [2]. The generalization of Courant's theorem was considered in [3–5] by studying the passage to the limit in the case when the velocity of the system at the initial instant is transverse to the manifold defined by the constraint equations. In [2–5] the assumption that the system in question in conservative is used to a considerable degree.

Citation:

Kozlov V. V., Neishtadt A. I., Realization of holonomic constraints, Journal of Applied Mathematics and Mechanics, 1990, vol. 54, no. 5, pp. 705–708

Mathematical aspects of classical and celestial mechanics
Dynamical systems – 3, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 3, Moscow: VINITI, 1985, pp. 5–290
Abstract
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Citation:

Arnold V. I., Kozlov V. V., Neishtadt A. I., Mathematical aspects of classical and celestial mechanics, Dynamical systems – 3, Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 3, Moscow: VINITI, 1985, pp. 5–290