The concentric face gear split-torque transmission system is a new gear mechanism which integrates the advantages of face gears, split-torque transmissions and concentric transmissions. The power transmission through multiple branches improves the systematic load capacity. However, the uniformity of load sharing between branches seriously restricts the service life of the entire system. According to the Newton theorem, a lumped parameter model coupled with the vibrations of the gear with six degrees of freedom, the torsion of input shafts, the meshing of gear pairs, and the bearing supporting is established. Gear backlash, meshing damping, support stiffness, time-varying mesh stiffness, and modified transmission errors are considered in this dynamic model. The discrete solution of dynamic equations is obtained by using the numerical integral method of Runge–Kutta. Natural characteristics and the performance of dynamic load sharing are investigated. Furthermore, the effects of the factors including torsional stiffness, gear backlash and time-varying mesh stiffness on dynamic load sharing are explored. The results indicate that the above-mentioned factors greatly affect the performance of dynamic load sharing, and the phenomenon of tooth disengagement is observed.

同心面齿轮分力矩传动系统是一种综合了面齿轮、分力矩传动和同心传动优点的新型齿轮机构。多支路输电，提高系统负载能力。但是，分支间负载分担的均匀性严重制约了整个系统的使用寿命。根据牛顿定理，建立了与六自由度齿轮振动、输入轴扭转、齿轮副啮合和轴承支承耦合的集总参数模型。在该动态模型中考虑了齿轮齿隙、啮合阻尼、支撑刚度、时变啮合刚度和修正的传动误差。动力学方程的离散解是通过使用 Runge-Kutta 的数值积分方法获得的。研究了动态负载共享的自然特性和性能。此外，还探讨了包括扭转刚度、齿轮齿隙和时变啮合刚度在内的因素对动态载荷分配的影响。结果表明，上述因素对动态均载性能的影响很大，并观察到了脱齿现象。