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Title: A new approach for the determination of the global minimum time for the brachistochrone with preselected interval for the normal reaction force value
Authors: Radulović, Radoslav
Jeremić, Bojan
Šalinić, Slaviša
Obradovic, Aleksandar
Drazic M.
Journal: International Journal of Non-Linear Mechanics
Issue Date: 1-May-2018
Abstract: © 2018 Elsevier Ltd We consider the brachistochrone problem of the particle with a preselected interval for the normal reaction force value as well as the terminal position of the particle lying on an arbitrary planar curve. We use optimal control theory to solve the formulated brachistochrone problem. Here we treat the brachistochrone curve as a bilateral ideal constraint. We study the cases of symmetrically and unsymmetrically preselected intervals for the normal reaction force value. We show that in the case of a symmetrically preselected interval for the normal reaction force value, the brachistochrone curve is a two-segment curve, and in the case of an unsymmetrically preselected interval, it is a three-segment curve. We present a numerical procedure for the identification of the global minimum time of motion. Finally, we present several examples to illustrate the approach proposed in the paper.
Type: Article
DOI: 10.1016/j.ijnonlinmec.2018.02.001
ISSN: 00207462
SCOPUS: 85042371132
Appears in Collections:Faculty of Mechanical and Civil Engineering, Kraljevo
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