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Purpose <p>To address the inadequate meshing performance of conventional helical cylindrical gears under high-speed and heavy-load conditions, this paper investigates the nonlinear dynamic behavior of a novel variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear transmission system. The study explores the nonlinear response characteristics under various meshing states, evaluates the effects of key meshing parameters on system stability and vibration behavior, and further assesses its application potential in high-speed gear transmission systems.</p> Methods <p>The finite element method is employed to calculate key dynamic meshing parameters of the gear pair under high-speed and heavy-load conditions, including time-varying mesh stiffness, transmission error, and load distribution coefficient. Based on the lumped mass method and the Newton-Lagrange formulation, a nonlinear dynamic model of the gear-rotor-bearing coupled system is developed for the new gear transmission system of the EMU, accounting for multiple meshing states. The model is solved using the Runge-Kutta numerical method. Furthermore, the influence of critical parameters such as meshing frequency and transmission error is thoroughly investigated using bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase portraits, and time-history responses.</p> Conclusion <p>The results indicate that as the meshing frequency and transmission error amplitude increase, the system exhibits pronounced period-doubling bifurcations, chaotic behavior, and multistability. The meshing states of the gear pair continuously evolve, and the maximum Lyapunov exponent shifts from negative to positive, confirming the system’s transition into chaos. Higher meshing frequencies and larger transmission error amplitudes significantly intensify system vibrations and reduce operational stability. This study innovatively incorporates the VH-CATT cylindrical gear system into the dynamic analysis of EMU traction systems. The proposed nonlinear multi-state meshing coupling model provides theoretical support for the engineering application and parameter optimization of this novel gear type.</p>

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Research on the Dynamic Characteristics of a New Gear Transmission System for High-Speed EMUs

  • 期刊论文

  • 发表日期：

    2025年10月29日

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  • Yongqiao Wei,
  • Yue Wang,
  • Bing Jiang,
  • Rui Guo,
  • Yuji Wang

摘要

Purpose

To address the inadequate meshing performance of conventional helical cylindrical gears under high-speed and heavy-load conditions, this paper investigates the nonlinear dynamic behavior of a novel variable hyperbolic circular-arc-tooth-trace (VH-CATT) cylindrical gear transmission system. The study explores the nonlinear response characteristics under various meshing states, evaluates the effects of key meshing parameters on system stability and vibration behavior, and further assesses its application potential in high-speed gear transmission systems.

Methods

The finite element method is employed to calculate key dynamic meshing parameters of the gear pair under high-speed and heavy-load conditions, including time-varying mesh stiffness, transmission error, and load distribution coefficient. Based on the lumped mass method and the Newton-Lagrange formulation, a nonlinear dynamic model of the gear-rotor-bearing coupled system is developed for the new gear transmission system of the EMU, accounting for multiple meshing states. The model is solved using the Runge-Kutta numerical method. Furthermore, the influence of critical parameters such as meshing frequency and transmission error is thoroughly investigated using bifurcation diagrams, maximum Lyapunov exponent diagrams, Poincaré maps, phase portraits, and time-history responses.

Conclusion

The results indicate that as the meshing frequency and transmission error amplitude increase, the system exhibits pronounced period-doubling bifurcations, chaotic behavior, and multistability. The meshing states of the gear pair continuously evolve, and the maximum Lyapunov exponent shifts from negative to positive, confirming the system’s transition into chaos. Higher meshing frequencies and larger transmission error amplitudes significantly intensify system vibrations and reduce operational stability. This study innovatively incorporates the VH-CATT cylindrical gear system into the dynamic analysis of EMU traction systems. The proposed nonlinear multi-state meshing coupling model provides theoretical support for the engineering application and parameter optimization of this novel gear type.