功率双分支齿轮系统动力学特性研究

摘要

文章介绍了功率双分支二级齿轮系统弯扭耦合动力学模型的建立过程，模型考虑了时变啮合刚度、滑动轴承油膜刚度、阻尼、随机轮齿误差和安装偏心误差等因素。通过研究系统固有频率和振型特点，发现系统的振动模式可分为扭转振动模式和横向振动模式两种形式。用傅里叶级数法对系统动力学方程进行了求解，得到了两级齿轮副的动态啮合力历程。考虑随机轮齿误差后，齿轮副在各啮合周期的动载荷会有所差异，更符合齿轮的实际制造情况。齿轮轴的安装偏心误差和两级间连接轴的刚度对系统的振动和均载性能都有较大影响。%A translational-rotational coupling dynamic model for a dual-branching gearbox with two stages was established. The model considered the factors as the time-varying mesh stiffness, the stiffness of oil film of journal bearings, damping, random tooth errors, assembling eccentric errors, and so on. The vibration modes of the system could be categorized into rotational mode and translational mode by observing the nat-ural frequencies and the characteristics of mode shapes. The dynamic equations were solved using Fourier Series Method and the dynamic mesh forces on the gear pairs of the stages. The results show that the dy-namic mesh forces have a little difference between each mesh cycle as the influence of the random tooth errors, which coincides with the manufacturing fact. The assembling errors of the gear shaft and the stiff-ness of connecting shaft between two stages have both great effect on the vibration and load sharing of the system.