Abstract A face-gear drive system has been extensively used in important transmission devices with strict requirements for size and weight such as helicopter reducer and so on. Its dynamic characteristics directly affect the stability and reliability of the equipment. A piecewise torsional-bending-pendular nonlinear dynamics model of the face-gear drive system is established to study its nonlinear dynamics and dynamic characteristics. The multi-state engagements including drive-side teeth engaging, teeth disengagement, back-side teeth engaging, and alternate engaging between single-teeth pair and double-teeth pairs caused by the couple of the backlash and the contact ratio being greater than 1.0 is considered. The change of the dynamic engaging force and load distribution ratio for the system is analyzed by numerical results under three different states engagement. The effects of the load coefficient, meshing frequency and the comprehensive transmission error on the dynamic characteristics and nonlinear dynamics of the system are studied based on three different Poincare mappings defined by bifurcation diagrams, top Lyapunov exponent diagrams, phase portraits and variation curve of the dynamic engaging force. Results show that the complex phenomena such as teeth disengagement, drive-side and back-side impact occur with alternating meshing of the single and double pair teeth via the change of studied parameters. The research is helpful for the optimization of the face-gear drives.

中文翻译：

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考虑多状态啮合的扭弯摆面齿轮传动系统建模与动力学分析

摘要 面齿轮传动系统已广泛应用于直升机减速机等对尺寸和重量有严格要求的重要传动装置中。其动态特性直接影响设备的稳定性和可靠性。建立面齿轮传动系统的分段扭弯摆非线性动力学模型，研究其非线性动力学和动力学特性。由齿隙偶数和接触比大于1.0引起的多态啮合包括驱动侧齿啮合、齿脱离啮合、后侧齿啮合以及单齿对和双齿对之间的交替啮合。经过考虑的。通过三种不同接合状态下的数值结果分析了系统的动态接合力和载荷分配比的变化。基于分岔图、顶Lyapunov指数图、相图和动态变化曲线定义的三种不同的Poincare映射，研究了载荷系数、啮合频率和综合传动误差对系统动态特性和非线性动力学的影响。接合力。结果表明，随着研究参数的变化，单副齿和双副齿交替啮合时会发生齿脱离、驱动侧和背面撞击等复杂现象。该研究有助于面齿轮驱动的优化。基于分岔图、顶部李雅普诺夫指数图、相图和动态啮合力的变化曲线定义的三种不同的Poincare映射，研究了啮合频率和综合传递误差对系统动力学特性和非线性动力学的影响。结果表明，随着研究参数的变化，单副齿和双副齿交替啮合时会发生齿脱离、驱动侧和背面撞击等复杂现象。该研究有助于面齿轮驱动的优化。基于分岔图、顶部李雅普诺夫指数图、相图和动态啮合力的变化曲线定义的三种不同的Poincare映射，研究了啮合频率和综合传递误差对系统动力学特性和非线性动力学的影响。结果表明，随着研究参数的变化，单副齿和双副齿交替啮合时会发生齿脱离、驱动侧和背面撞击等复杂现象。该研究有助于面齿轮驱动的优化。动态接合力的相图和变化曲线。结果表明，随着研究参数的变化，单副齿和双副齿交替啮合会发生齿脱离、驱动侧和背面撞击等复杂现象。该研究有助于面齿轮驱动的优化。动态接合力的相图和变化曲线。结果表明，随着研究参数的变化，单副齿和双副齿交替啮合时会发生齿脱离、驱动侧和背面撞击等复杂现象。该研究有助于面齿轮驱动的优化。