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<p>The bogie with primary large positioning suspension stiffness is approximately equivalent to the rigid bogie, and a new simplified seven degree-of-freedom (DOF) stochastic high-speed train model with delay is established. The Hurwitz stability criterion is used to judge whether Hopf bifurcation occurs in the high-speed train system, and the calculation method of linear critical velocity can be obtained. The stochastic averaging method is used to study the dynamic behavior of the high-speed train system, and the stochastic bifurcation behavior is studied to further analyze the stability of the system. The influence of time delay on the dynamic behavior of the high-speed train system at different running speeds and the influence of time delay on the critical speed of the system are analyzed by numerical simulation.</p>

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Dynamic analysis of a new high-speed train model

  • 期刊论文

  • 发表日期：

    2025年1月19日

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  • Yongqiang Liu,
  • Xing Zhang,
  • Yongge Li,
  • Haiping Du,
  • Yingying Liao

摘要

The bogie with primary large positioning suspension stiffness is approximately equivalent to the rigid bogie, and a new simplified seven degree-of-freedom (DOF) stochastic high-speed train model with delay is established. The Hurwitz stability criterion is used to judge whether Hopf bifurcation occurs in the high-speed train system, and the calculation method of linear critical velocity can be obtained. The stochastic averaging method is used to study the dynamic behavior of the high-speed train system, and the stochastic bifurcation behavior is studied to further analyze the stability of the system. The influence of time delay on the dynamic behavior of the high-speed train system at different running speeds and the influence of time delay on the critical speed of the system are analyzed by numerical simulation.