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- Title
755. A survey of Hopf bifurcation analysis in nonlinear railway wheelset dynamics.
- Authors
Sedighi, Hamid M.; Shirazi, Kourosh H.
- Abstract
This article attempts to analyze the Hopf bifurcation behavior of a railway wheelset in the presence of dead-zone and yaw damper nonlinearities. A model that is more precise than Yang and Ahmadian is investigated. Using Bogoliubov-Mitropolsky averaging method and critical speed, the amplitude of the limit cycle in the presence of the mentioned nonlinearities is taken into consideration. To solve these nonlinear equations analytically, the integration interval has been divided into three sub-domains. Two-dimensional bifurcation diagrams are provided to illustrate the mechanism of formation of Hopf bifurcation. These diagrams can be used for design of stable wheelset systems.
- Subjects
HOPF algebras; BIFURCATION theory; NONLINEAR theories; RAILROAD car wheels; SPEED of railroad trains; NUMERICAL solutions to nonlinear differential equations
- Publication
Journal of Vibroengineering, 2012, Vol 14, Issue 1, p344
- ISSN
1392-8716
- Publication type
Article