Title :
Lyapunov-Bautin bifurcation and the hunting of a railway wheelset
Author :
Inozemtsev, V.G. ; Tibilov, Taimuraz A.
Author_Institution :
Sci. Council on Transp. Problems, Acad. of Sci., Moscow, Russia
Abstract :
This paper presents results of the analytical investigation of the dynamics of a single railway wheelset. Above a critical speed, the stationary motion of the wheelset loses its stability. The methods of the Lyapunov-Bautin bifurcation theory provide the parameters of a domain where unstable periodic motions appear around the stable stationary motion. We use the Bautin formulae to determine the Lyapunov constant. Conditions to determine the regime of safe or dangerous motion are investigated. Computer algebra is involved because of the complexity of the Bautin formulae
Keywords :
bifurcation; mechanical stability; nonlinear dynamical systems; process algebra; railways; symbol manipulation; Lyapunov constant; Lyapunov-Bautin bifurcation; computer algebra; critical speed; dangerous motion; railway wheelset hunting; safe motion; single railway wheelset dynamics; stability; stable stationary motion; stationary motion; unstable periodic motions; Algebra; Bifurcation; Friction; Nonlinear dynamical systems; Rail transportation; Springs; Stability; Vehicle dynamics; Vehicles; Wheels;
Conference_Titel :
Control of Oscillations and Chaos, 2000. Proceedings. 2000 2nd International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
0-7803-6434-1
DOI :
10.1109/COC.2000.873971
