A method for calculating tooth bending stress of a herringbone planetary train system in engagement process

Using linear programming method, the load distributions for each gear were computed at different meshing positions. Then the changing course of root bending stress along with the variation of meshing position was gained for each gear of the planetary trains. The whole calculating course realized the automatic definition of loads and boundary conditions and found out the value and position when the tooth root has maximum stress. The results show that the maximum stress usually appears near the position when the tooth bears most of the load. The results can provide reference for checking tooth bending strength of herringbone gears in a planetary system.