Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/10503
Title: On the brachistochronic motion of mechanical systems with unilateral constraints
Authors: Šalinić, Slaviša
Obradovic, Aleksandar
Mitrović Z.
Issue Date: 2012
Abstract: The problem of brachistochronic motion of a two-degree of freedom mechanical system is considered. The ideal bilateral constraints and one unilateral constraint with Coulomb friction are imposed on the system. It has been assumed that the components of the metric tensor are constant. After introducing the transformation of generalized coordinates, whereby the quadratic form of kinetic energy is reduced to a canonical form, the considered problem is geometrically interpreted as the motion of a representative point in a two-dimensional Euclidean space. Thus, the analogy with the brachistochronic motion of a particle along a curve which is treated as a unilateral constraint is achieved. The results are illustrated via an example. © 2012 Elsevier Ltd. All rights reserved.
URI: https://scidar.kg.ac.rs/handle/123456789/10503
Type: article
DOI: 10.1016/j.mechrescom.2012.06.006
ISSN: 0093-6413
SCOPUS: 2-s2.0-84864042070
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo

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