On the dynamics of systems with one-sided non-integrable constraints

Autor:	Kozlov Valery V.
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	non-integrable constraints servoconstraints non-holonomic mechanics vakonomic mechanics one-sided constraint unilateral constraint Mechanics of engineering. Applied mechanics TA349-359
Zdroj:	Theoretical and Applied Mechanics, Vol 46, Iss 1, Pp 1-14 (2019)
Druh dokumentu:	article
ISSN:	1450-5584 2406-0925
DOI:	10.2298/TAM190123005K
Popis:	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 B/eghin), 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.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/3a7114431c614d37bd1bf3b557090aa6 Zobrazit plný text záznamu View record in DOAJ