Study on Deflection of Spur Gear Teeth : last Report, Calculation of Tooth Deflection by Two-dimensional Elastic Theory

Abstract

The authors calculated the deflection of spur gear teeth by using a two-dimensional elastic theory and the mapping function, and compared the calculated results with the values calculated by the well-known tooth deflection formulas. Consequently, it was found that all values of tooth deflection calculated by this method are smaller than that by the well-known tooth deflection formulas and the measured value, because of the Herzian contact deformation, which is smaller than the value obtained from Lundberg's method. Furthermore, it was also found that the tooth deflection is nearly proportional to the tooth load.