Noncircular planetary gear has simple structure and wide application, but its dynamics research is still blank. Therefore, this paper designs and establishes a 3–4 noncircular planetary gear model, and takes a deep dive into its dynamic characteristics. Firstly, the torsional vibration mechanical model of noncircular planetary gear is established, and the key factors in the planetary gear system are fully considered, such as time-varying meshing stiffness, backlash, meshing damping and excitation frequency. These factors have an important impact on the vibration characteristics of the system. Then, the vibration differential equation of the system is established, and the vibration characteristics of the system under different parameter conditions are analyzed. The results show that the noncircular planetary gear system with large damping and appropriate stiffness can maintain a more stable operating state at a larger excitation frequency. In addition, shortening the acceleration time of the system can effectively reduce the damage caused by the unstable state to the system. These findings provide a solid theoretical basis for the subsequent optimization and analysis of noncircular planetary gears.

中文翻译：

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非圆行星齿轮动力学分析


非圆行星齿轮结构简单，应用广泛，但其动力学研究尚属空白。因此，本文设计并建立了3~4非圆行星齿轮模型，并深入研究了其动态特性。首先，建立非圆行星齿轮扭转振动力学模型，充分考虑行星齿轮系统中时变啮合刚度、齿隙、啮合阻尼和激励频率等关键因素。这些因素对系统的振动特性有重要影响。然后建立系统的振动微分方程，分析不同参数条件下系统的振动特性。结果表明，具有大阻尼和适当刚度的非圆行星齿轮系统能够在较大的激励频率下保持较稳定的运行状态。另外，缩短系统的加速时间可以有效减少不稳定状态对系统造成的损害。这些研究结果为后续非圆行星齿轮的优化和分析提供了坚实的理论基础。