Please use this identifier to cite or link to this item: https://scidar.kg.ac.rs/handle/123456789/10996
Title: Brachistochronic motion of a nonholonomic variable-mass mechanical system in general force fields
Authors: Jeremić, Bojan
Radulović, Radoslav
Obradovic, Aleksandar
Šalinić, Slaviša
Drazic M.
Issue Date: 2019
Abstract: © The Author(s) 2017. In this paper, the brachistochronic motion of a mechanical system composed of variable-mass particles is analysed. Workless (ideal) holonomic and linear nonholonomic constraints are imposed on the system. It is assumed that the system moves in an arbitrary field of known potential and nonpotential forces with prescribed both laws of the time-rate of mass variation of the particles and relative velocities of the expelled (or gained) masses. The first time-derivatives of quasi-velocities are taken as control variables. Using Pontryagin’s maximum principle and singular optimal control theory, the problem of brachistochronic motion of the nonholonomic variable-mass mechanical system is solved as a two-point boundary value problem. In addition, a discussion about the realization of control forces is given. The results are illustrated via an example.
URI: https://scidar.kg.ac.rs/handle/123456789/10996
Type: article
DOI: 10.1177/1081286517738307
ISSN: 1081-2865
SCOPUS: 2-s2.0-85044785724
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo

Page views(s)

456

Downloads(s)

12

Files in This Item:
File Description SizeFormat 
PaperMissing.pdf
  Restricted Access
29.86 kBAdobe PDFThumbnail
View/Open


Items in SCIDAR are protected by copyright, with all rights reserved, unless otherwise indicated.