Analysis of power-split for herringbone gears power three-branching transmission system by simulation algorithm

A simulation algorithm is presented for solving the value of power-split for the herringbone gears power three-branching transmission system.A mathematical model is established based on the drive principle of the system,and the torque equilibrium equations and the deformation compatibility equations of the system are listed,the function relationships between the bearing transmission error and the load are fitted using the theory of discrete gear profile based on the loaded tooth contact analysis.The value of power-split of each branch meshing gear pair in different condition is obtained by solving the optimization model of the system.It is shown that the three-branching structure contributes to improving the load capacity of the system.