A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem
Samo za registrovane korisnike
2017
Članak u časopisu (Objavljena verzija)
Metapodaci
Prikaz svih podataka o dokumentuApstrakt
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.
Ključne reči:
Pontryagin's maximum principle / optimal control / Global minimum time / Chaplygin sleigh / brachistochroneIzvor:
Mathematics and Mechanics of Solids, 2017, 22, 6, 1462-1482Izdavač:
- Sage Publications Ltd, London
Finansiranje / projekti:
- Dinamika hibridnih sistema složenih struktura. Mehanika materijala (RS-MESTD-Basic Research (BR or ON)-174001)
- Održivost i unapređenje mašinskih sistema u energetici i transportu primenom forenzičkog inženjerstva, eko i robust dizajna (RS-MESTD-Technological Development (TD or TR)-35006)
Napomena:
- Peer reviewed version of the article: https://machinery.mas.bg.ac.rs/handle/123456789/4324
Povezane informacije:
- Druga verzija
https://machinery.mas.bg.ac.rs/handle/123456789/4324
DOI: 10.1177/1081286516637234
ISSN: 1081-2865
WoS: 000402887700014
Scopus: 2-s2.0-85020436709
Kolekcije
Institucija/grupa
Mašinski fakultetTY - JOUR AU - Radulović, Radoslav AU - Šalinić, Slaviša AU - Obradović, Aleksandar AU - Rusov, Srđan PY - 2017 UR - https://machinery.mas.bg.ac.rs/handle/123456789/2528 AB - 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. PB - Sage Publications Ltd, London T2 - Mathematics and Mechanics of Solids T1 - A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem EP - 1482 IS - 6 SP - 1462 VL - 22 DO - 10.1177/1081286516637234 ER -
@article{ author = "Radulović, Radoslav and Šalinić, Slaviša and Obradović, Aleksandar and Rusov, Srđan", year = "2017", 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.", publisher = "Sage Publications Ltd, London", journal = "Mathematics and Mechanics of Solids", title = "A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem", pages = "1482-1462", number = "6", volume = "22", doi = "10.1177/1081286516637234" }
Radulović, R., Šalinić, S., Obradović, A.,& Rusov, S.. (2017). A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem. in Mathematics and Mechanics of Solids Sage Publications Ltd, London., 22(6), 1462-1482. https://doi.org/10.1177/1081286516637234
Radulović R, Šalinić S, Obradović A, Rusov S. A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem. in Mathematics and Mechanics of Solids. 2017;22(6):1462-1482. doi:10.1177/1081286516637234 .
Radulović, Radoslav, Šalinić, Slaviša, Obradović, Aleksandar, Rusov, Srđan, "A new approach for the determination of the global minimum time for the Chaplygin sleigh brachistochrone problem" in Mathematics and Mechanics of Solids, 22, no. 6 (2017):1462-1482, https://doi.org/10.1177/1081286516637234 . .