Abstract:

A loaded tooth contact analysis method (LTCA) was proposed for spur gears with considering the edge relaxation effect to improve the traditional analysis method for spur gears. Calculated tooth surface coordinates based on the tooth surface formula with the mesh paths calculated in a complete meshing period
according to the mesh relationship. Used Newton-Raphson method to solve the mesh state of the gear teeth in the equilibrium state and to analyze the loaded tooth contact. Verified the load distribution coefficients, the contact stresses, the transmission errors and the calculation efficiencies in a complete meshing period based on the finite element method (FEM) with introducing the edge correction function and edge factor, and with considering the edge relaxation effect in a parabolic form by using a correction method for tooth width-edge contact-stiffness. The results show that this method can be used to analyze the loaded tooth contact of spur gears in equal width line.

Key words: spur gear, loaded tooth contact analysis (LTCA), relaxation effect, contact stiffness, finite element method (FEM)