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<p>A nonlinear dynamics model of a super-high-contact-ratio (SHCR) helical gear pair for the gearbox in an electric vehicle is established that considers time-varying meshing stiffness, tooth face time-varying friction, dynamic transmission errors, and gear backlash. The Runge–Kutta integral method is used to solve the system’s dynamic equations. The nonlinear dynamical behavior of the system is described by phase plane diagram, time domain diagram, frequency domain diagram, and Poincaré map. The bifurcation diagram illustrates the effect of rotational speed and initial backlash on the system’s nonlinear dynamic behavior. The results reveal that the SHCR gear system exhibits abundant nonlinear behaviors. The system exhibits periodic chaotic alternating motion characteristics in the full rotational speed range. The initial backlash influences the system’s motion less than the rotational speed. Selecting the rotational speed and initial backlash within a reasonable range can effectively reduce the vibration noise and keep the system stable.</p>

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Bifurcation and chaos analysis of super-high-contact-ratio gear pair in full speed range considering backlash and friction nonlinearity

  • 期刊论文

  • 发表日期：

    2025年1月21日

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  • Kang Huang,
  • Guodong Zhu,
  • Yangshou Xiong,
  • Guangzhi Han,
  • Jiyou Peng

摘要

A nonlinear dynamics model of a super-high-contact-ratio (SHCR) helical gear pair for the gearbox in an electric vehicle is established that considers time-varying meshing stiffness, tooth face time-varying friction, dynamic transmission errors, and gear backlash. The Runge–Kutta integral method is used to solve the system’s dynamic equations. The nonlinear dynamical behavior of the system is described by phase plane diagram, time domain diagram, frequency domain diagram, and Poincaré map. The bifurcation diagram illustrates the effect of rotational speed and initial backlash on the system’s nonlinear dynamic behavior. The results reveal that the SHCR gear system exhibits abundant nonlinear behaviors. The system exhibits periodic chaotic alternating motion characteristics in the full rotational speed range. The initial backlash influences the system’s motion less than the rotational speed. Selecting the rotational speed and initial backlash within a reasonable range can effectively reduce the vibration noise and keep the system stable.