A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem-Reference-Cited by-同舟云学术

A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem

Published:2016-03-14 Issue:6 Volume:22 Page:1462-1482
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Radulović R¹,Šalinić S²,Obradović A¹,Rusov S³

Affiliation:

1. Faculty of Mechanical Engineering, University of Belgrade, Serbia

2. Faculty of Mechanical and Civil Engineering in Kraljevo, University of Kragujevac, Serbia

3. Faculty of Transport and Traffic Engineering, University of Belgrade, Serbia

Abstract

A new approach for the determination of the global minimum time for the case of the brachistochronic motion of the Chaplygin sleigh is presented. The new approach is based on the use of the shooting method in solving the corresponding two-point boundary-value problem and defining either the crossing points of surfaces or the crossing points space of curves in a three-dimensional space of two costate variables and the time of the brachistochronic motion of the sleigh. A number of examples for multiple extremals of the Chaplygin sleigh brachistochrone problem are provided. In these examples, the global minimum is the solution to which the minimum time of motion corresponds.

Funder

Ministry of Education, Science and Technological Development of the Republic of Serbia

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/1081286516637234

Reference20 articles.

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