Study on Deflection of Spur Gear Teeth : 2nd Report, Calculation of Tooth Deflection for Spur Gears with Various Tooth Profiles

Abstract

The authors calculated the deflection of various spur gear teeth by using a two-dimensional elastic theory and the mapping function, and showed a simplified formula for the tooth deflection, which was deduced from the results of calculation based on the elastic theory. The deformation by Hertzian contact stress was also calculated in the present study. When this deformation was compared with the values obtained from Weber's and Lundberg's formulas, it was found that their formulas involve in themselves a problem which arises in the calculation of tooth deflection. Furthermore, in the present paper, the authors showed an approximate expression for the deformation by Hertzian contact stress.