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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 4, Pages 855–868
(Mi nd9)
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This article is cited in 9 scientific papers (total in 10 papers)
Lagrangian mechanics and dry friction
V. V. Kozlov Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
A generalization of Amantons' law of dry friction for constrained Lagrangian systems is formulated. Under a change of generalized coordinates the components of the dry-friction force transform according to the covariant rule and the force itself satisfies the Painlevé condition. In particular, the pressure of the system on a constraint is independent of the anisotropic-friction tensor. Such an approach provides an insight into the Painlevé dry-friction paradoxes. As an example, the general formulas for the sliding friction force and torque and the rotation friction torque on a body contacting with a surface are obtained.
Keywords:
Lagrangian system, anisotropic friction, Painlevé condition.
Received: 29.10.2010
Citation:
V. V. Kozlov, “Lagrangian mechanics and dry friction”, Nelin. Dinam., 6:4 (2010), 855–868
Linking options:
https://www.mathnet.ru/eng/nd9 https://www.mathnet.ru/eng/nd/v6/i4/p855
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