Self-exciting vibrations and Hopf's bifurcation in non-linear stability analysis of rail vehicles in a curved track

DOI10.1016/J.EUROMECHSOL.2009.10.001zbMath1480.74145OpenAlexW2012902408MaRDI QIDQ2034269

Miroslaw Dusza, Krzysztof Zboinski

Publication date: 21 June 2021

Published in: European Journal of Mechanics. A. Solids (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.euromechsol.2009.10.001

zbMATH Keywords

numerical simulationstability mapcurved track analysisnon-linear critical speedstraight track analysis

Mathematics Subject Classification ID

Bifurcations and instability for nonlinear problems in mechanics (70K50) Stability of dynamical problems in solid mechanics (74H55) Numerical approximation of solutions of dynamical problems in solid mechanics (74H15) Dynamical bifurcation of solutions to dynamical problems in solid mechanics (74H60)

Related Items (5)

Generalized Hopf bifurcation of a non-smooth railway wheelset system ⋮ Axial force contribution to the out-of-plane response of horizontally curved beams under a moving mass excitation ⋮ Efficient approximation of the labeled multi-Bernoulli filter for online multitarget tracking ⋮ Influences of aerodynamic loads on hunting stability of high-speed railway vehicles and parameter studies ⋮ Hunting stability of high-speed railway vehicles under steady aerodynamic loads

Cites Work

• Nonlinear differential equations and dynamical systems
• Dynamical investigation of railway vehicles on a curved track
• On a new route to chaos in railway dynamics
• Limit cycle behaviour and chaotic motions of two-axle freight wagons with friction damping
• Hopf-Friedrichs bifurcation and the hunting of a railway axle
• Relative kinematics exploited in Kane's approach to describe multibody systems in relative motion

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