On the nonlinear hunting stability of a high-speed train bogie Articles uri icon

publication date

  • February 2023

start page

  • 2059

end page

  • 2078


  • 3


  • 111

International Standard Serial Number (ISSN)

  • 0924-090X

Electronic International Standard Serial Number (EISSN)

  • 1573-269X


  • The hunting phenomenon is an intrinsic swaying motion appearing in railway vehicles due to the vehicle's forward speed and the wheel-rail contact forces. Hunting motion consists of wheelset and other vehicle's components oscillations that arise above a certain vehicle's speed known as critical or hunting speed. These oscillations are of unstable nature and represent a safety hazard as they could lead to the vehicle's derailment. This article analyses the stability of a bogie nonlinear model for a Spanish high-speed train when this is travelling at speeds near the hunting speed. The vehicle's stability is studied by means of root loci methods, and the value of the critical speed is found. In addition to this, the behaviour of the vehicle is studied in both stable and unstable regions and the existence of limit cycles is discussed in this work. Finally, a sensitivity analysis of the axle load and suspension parameters is performed. The results show that the axle load, the vertical stiffness of the primary suspension and the lateral damping of the secondary suspension have a significant influence on the value of the critical speed.


  • Industrial Engineering
  • Mathematics
  • Mechanical Engineering


  • nonlinear system; high-speed train; vehicle stability dynamics; numerical simulation