Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions

Dynamics of a Chaplygin sleigh with an unbalanced rotor: regular and chaotic motions

This paper addresses the problem of the motion of a sleigh with a free rotor. It is shown that this system exhibits chaotic and regular motions. The case in which the system is balanced relative to the knife edge is of particular interest because it has an additional integral. In this case, the prob...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Nonlinear dynamics 2019-11, Vol.98 (3), p.2277-2291
Hauptverfasser: Bizyaev, Ivan A., Borisov, Alexey V., Mamaev, Ivan S.
Format: Artikel
Sprache:eng
Schlagworte:
Automotive Engineering
Chaos theory
Classical Mechanics
Control
Dynamical Systems
Engineering
Fields (mathematics)
Knife-edge
Mechanical Engineering
Original Paper
Toruses
Vibration
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:This paper addresses the problem of the motion of a sleigh with a free rotor. It is shown that this system exhibits chaotic and regular motions. The case in which the system is balanced relative to the knife edge is of particular interest because it has an additional integral. In this case, the problem reduces to investigating a vector field on a torus and to classifying singular points on it.
ISSN:0924-090X
1573-269X
DOI:10.1007/s11071-019-05325-7