Abstract
A method is presented to optimize the helix angle of a helical gear from the viewpoint of the transmission error, which is the deflection of the teeth due to the transmitted load. The deflection of the gear teeth is calculated by using the bending and shear influence function, which is formulated from the common formula for deflection obtained from FEM, and the contact influence function based on Hertzian contact theory. Tooth contact analysis is performed to calculate the contact lines of the helical gear, where the deflection of the tooth is measured. A numerical example is presented to explain a method to optimize the helix angle of a helical gear system. The relation between the contact ratio and transmission error is investigated through calculations of the variation in the transmission error with the helix angle.
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