Abstract
A thorough review and analysis of the classic contact deflection formulae in gear simulations are presented. Based on extensive analytical developments, it is shown that the scatter in the results given by the classic formulations is mainly due to their respective displacement datum (either explicit or implicit) where contact deflections are supposed to vanish. Several formulae appear as not adapted to gears and a general formula for contact deflection or stiffness in gear teeth is proposed. A number of comparisons with 2D and 3D finite element results prove its validity and show that simplified thin-slice contact models give realistic results except near the edges of the contact lines.
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