On the dynamics of systems with one-sided non-integrable constraints
Valery V. Kozlov
Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
In the paper we take the first steps in studying the dynamics of systems with one-sided differential constraints defined by inequalities in the phase space. We give a general definition of motion for systems with such constraints. Within the framework of the classical non-holonomic model, and also for systems with servoconstraints (according to Béghin), we present the conditions under which the system leaves two-sided differential constraints. As an example, we consider the Chaplygin sleigh with a one-sided constraint, which is realized by means of an anisotropic force of viscous friction. Variational principles for the determination of motion of systems with one-sided differential constraints are presented.
non-integrable constraints, servoconstraints, non-holonomic mechanics, vakonomic mechanics, one-sided constraint, unilateral constraint.
|Russian Science Foundation
|The research was funded by a grant from the Russian Science Foundation (Project No. 19-71-30012).
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MSC: 70F25, 70H45
Valery V. Kozlov, “On the dynamics of systems with one-sided non-integrable constraints”, Theor. Appl. Mech., 46:1 (2019), 1–14
Citation in format AMSBIB
\by Valery V.~Kozlov
\paper On the dynamics of systems with one-sided non-integrable constraints
\jour Theor. Appl. Mech.
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