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This article is cited in 3 scientific papers (total in 3 papers)
On the dynamics of systems with one-sided non-integrable constraints
Valery V. Kozlov Steklov Mathematical Institute of Russian Academy of Sciences, Moscow, Russia
Abstract:
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.
Keywords:
non-integrable constraints, servoconstraints, non-holonomic mechanics, vakonomic mechanics, one-sided constraint, unilateral constraint.
Received: 23.01.2019 Revised: 15.05.2019
Citation:
Valery V. Kozlov, “On the dynamics of systems with one-sided non-integrable constraints”, Theor. Appl. Mech., 46:1 (2019), 1–14
Linking options:
https://www.mathnet.ru/eng/tam1 https://www.mathnet.ru/eng/tam/v46/i1/p1
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Abstract page: | 248 | Full-text PDF : | 114 | References: | 34 |
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