Abstract Coupled loaded tooth contact analysis (LTCA) model and lumped-parameters model, an efficient three-dimensional dynamic contact model for cylindrical gear pairs with distributed tooth flank errors is established. The solution scheme of the proposed model is constructed using a combination of the loaded tooth contact algorithm and the Newmark integration method. The dynamic load distributions at different input speeds can be determined, and the dynamic time-dependent mesh stiffness and dynamic composite mesh error are proposed and calculated. The proposed model is validated by comparing the obtained numerical results with the experimental results from the published works, and has much higher efficiency compared with three-dimensional dynamic contact finite element method. The effects of helix angle, mesh damping, distributed tooth flank errors and output torque on the vibration behaviors and dynamic load distributions of cylindrical gear pairs under different working conditions are investigated and discussed. The proposed model can also be used to predict the vibration behaviors and the instantaneous three-dimensional dynamic contact state of cylindrical gear pairs with different distribution forms of tooth flank errors and various tooth surface modifications.

中文翻译：

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具有分布齿面误差的圆柱齿轮副的高效三维动态接触模型

摘要 利用耦合加载齿面接触分析(LTCA)模型和集总参数模型，建立了具有分布齿面误差的圆柱齿轮副的高效三维动态接触模型。所提出模型的求解方案是结合加载齿接触算法和Newmark积分方法构建的。可以确定不同输入速度下的动态载荷分布，并提出并计算动态瞬态网格刚度和动态复合网格误差。通过将所得数值结果与已发表作品的实验结果进行比较，对所提出的模型进行了验证，与三维动态接触有限元方法相比具有更高的效率。螺旋角、网格阻尼的影响，研究讨论了分布齿面误差和输出扭矩对圆柱齿轮副在不同工况下的振动行为和动载荷分布的影响。该模型还可用于预测具有不同齿面误差分布形式和各种齿面修形的圆柱齿轮副的振动行为和瞬时三维动态接触状态。