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<p>Hunting characteristics of a bogie system in a curved track play an essential role in further enhancing running speed and ensuring the safe operation of the high-speed railway. This paper focuses on the pattern diversity, bifurcation evolution of the hunting motion, and the impact characteristics between wheelset flanges and rails when operating above the critical speed. Due to the non-smooth wheel-rail contact relation and wheelset flange impact with rails, the lateral dynamic model of the bogie system is a nonlinear and nonsmooth system. By conducting a co-simulation of the dynamic parameters (the primary longitudinal stiffness, the primary lateral stiffness, and wheel-rail adhesion coefficient) and vehicle running speed <i>v</i>, the distribution and transit laws of multiple hunting motions and the associated maximum lateral impact velocities of the wheelset flanges with rails are obtained in the two-parameter plane. The parameters’ effects on the system’s dynamic characteristics are analyzed. The results show that the system undergoes a Hopf bifurcation to induce large amplitude hunting, resulting in the leading wheelset flange contacting the right (outer) rail first. The wheelset’s grazing bifurcation with the right rail(G<sub>R</sub>) and left rail(G<sub>L</sub>) is the primary mode leading to the increase of the flange contact numbers. Period-doubling bifurcation is the primary mode leading to subharmonic motions, and bifurcation forms such as G<sub>R</sub>, G<sub>L</sub>, and saddle-node make the mode and evolutionary regularity of periodic hunting motions(PHMs) more complicated. The initial speed range in which flange contact occurs, PHMs with period one have relatively small lateral impact velocities of the wheelset flanges with rails, and the primary lateral stiffness and wheel-rail adhesion coefficient significantly affect their existence regions. In the parameter planes, the higher speed domains are characterized by complex periodic motion evolution due to subharmonic and chaotic motions. Chaotic and subharmonic motions often correspond to the peak regions of the maximum flange contact velocities.</p>

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Two-parameter bifurcations and parameter sensitivity analysis of a bogie system in a curved track

  • 期刊论文

  • 发表日期：

    2026年4月7日

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  • Shijun Wang,
  • Guanwei Luo

摘要

Hunting characteristics of a bogie system in a curved track play an essential role in further enhancing running speed and ensuring the safe operation of the high-speed railway. This paper focuses on the pattern diversity, bifurcation evolution of the hunting motion, and the impact characteristics between wheelset flanges and rails when operating above the critical speed. Due to the non-smooth wheel-rail contact relation and wheelset flange impact with rails, the lateral dynamic model of the bogie system is a nonlinear and nonsmooth system. By conducting a co-simulation of the dynamic parameters (the primary longitudinal stiffness, the primary lateral stiffness, and wheel-rail adhesion coefficient) and vehicle running speed v, the distribution and transit laws of multiple hunting motions and the associated maximum lateral impact velocities of the wheelset flanges with rails are obtained in the two-parameter plane. The parameters’ effects on the system’s dynamic characteristics are analyzed. The results show that the system undergoes a Hopf bifurcation to induce large amplitude hunting, resulting in the leading wheelset flange contacting the right (outer) rail first. The wheelset’s grazing bifurcation with the right rail(GR) and left rail(GL) is the primary mode leading to the increase of the flange contact numbers. Period-doubling bifurcation is the primary mode leading to subharmonic motions, and bifurcation forms such as GR, GL, and saddle-node make the mode and evolutionary regularity of periodic hunting motions(PHMs) more complicated. The initial speed range in which flange contact occurs, PHMs with period one have relatively small lateral impact velocities of the wheelset flanges with rails, and the primary lateral stiffness and wheel-rail adhesion coefficient significantly affect their existence regions. In the parameter planes, the higher speed domains are characterized by complex periodic motion evolution due to subharmonic and chaotic motions. Chaotic and subharmonic motions often correspond to the peak regions of the maximum flange contact velocities.