Journal of Applied Mathematics and Mechanics (about journal) Journal of Applied
Mathematics and Mechanics

Russian Academy of Sciences
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
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IssuesArchive of Issues2013-3pp.268-277

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A.V. Vlakhova, "Realizing constraints in the dynamics of systems with rolling," J. Appl. Math. Mech. 77 (3), 268-277 (2013)
Year 2013 Volume 77 Issue 3 Pages 268-277
Title Realizing constraints in the dynamics of systems with rolling
Author(s) A.V. Vlakhova (Moscow, Russia,
Abstract The possibilities of realizing constraints in the motion of systems containing kinematic pairs with small relative slips are investigated. It is shown that the limiting transition to infinite hardness of the contact forces (zero values of the slip velocities) can result in both classical non-holonomic systems and non-classical systems with primary Dirac constraints. The manifold defined by these non-classical constraints is not close to the manifold specified by the no-slip conditions in the general case. Situations in which particular constraints are realized are distinguished after examining the orders of magnitude of the terms on the right-hand and left-hand sides of the relations between the slip velocities and the generalized velocities.
Received 14 May 2012
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