Research of Force-Fitted Gear : 1st Report, On the Distribution of Stress along the Fillet Curve of a Spur Gear

Abstract

The present paper has been carried out for the purpose of calculating the distribution of stress along the fillet curve of a spur gear tooth with a force-fitted shaft in the rim. Using the two-dimensional elastic theory and the transform function proposed by H. Neuber, the authors have introduced equations for the calculation of the stress at the fillet curve of a gear tooth caused by force-fitting. Moreover, the authors have examined the stresses of various factors, that is, dimensions of gear, thickness of gear rim, conditions of fitting etc. Consequently the practical formulas have been introduced for the stress at the weakest section of a gear tooth with a force-fitted shaft in the rim. By the practical equations, the stress along the fillet curve of force-fitted gear can be calculated more easily than by theoretical equations.