Tooth Fillet Stresses of Gear with Thin rim : 2nd report, Approximation Formulae for Tooth Fillet Stresses

An efficient FEM application method is developed for a model which is the ensemble of elements of the same shape as gear teeth. Using this method, influences of chordal tooth thickness at the critical section of tooth, radius of curvature of fillet and rim thickness of thin-rimmed gear on the tooth fillet and root stresses are investigated. Summing up a lot of FEM calculated results, a set of approximation formulae is derived for the calculation of tooth fillet and root stresses of a thin-rimmed gear. A comparison of the measured tooth fillet stresses, FEM calculated values and the values from these approximation formulae has shown good agreement. These approximation formulae will therefore contribute to the strength calculation of a thin-rimmed gear.