In this paper, we propose a numerical method to calculate the dynamic mesh forces of planetary gear transmissions (PGTs). In this model, the effects of addendum modification are included in the time-varying mesh stiffness (TVMS) and then the influence of TVMS and relative mesh phase on the dynamic mesh forces are considered in the proposed model. To verify the proposed model, an experimental method is proposed to measure the dynamic ring-planet mesh forces by using gear tooth root-fillet strain signals. Static mesh experiments and dynamic mesh experiments are carried out to obtain the strain signals. To measure the dynamic mesh force, the loaded tooth contact analysis (LTCA) method and quasi-static experiments are carried to determine the coefficient matrix which is used to descript the relationship between the mesh force and tooth root-fillet strain. Finally, calculated mesh forces and measured forces are compared and discussed. Results indicate that the proposed experimental method can effectively measure the dynamic ring-planet mesh forces, and the numerical mesh forces agree well with the measured mesh forces.

在本文中，我们提出了一种数值方法来计算行星齿轮传动装置 (PGT) 的动态啮合力。在该模型中，齿顶修正的影响包含在时变网格刚度（TVMS）中，然后在所提出的模型中考虑了 TVMS 和相对网格相位对动态网格力的影响。为了验证所提出的模型，提出了一种通过使用齿轮齿根 - 圆角应变信号来测量动态环 - 行星啮合力的实验方法。进行静态网格实验和动态网格实验以获得应变信号。为了测量动态啮合力，通过加载齿接触分析(LTCA)方法和准静态实验确定系数矩阵，用于描述啮合力与齿根-圆角应变之间的关系。最后，比较和讨论计算的啮合力和测量的力。结果表明，所提出的实验方法可以有效地测量动态环-行星啮合力，并且数值啮合力与测量的啮合力吻合良好。