Theoretical Analysis of the Finish Rolled Gear Tooth Profiles : First Report, In the Case that the Work Is Driven Externally

Abstract

The tooth profiles of the finish rolled spur gears are analyzed theoretically assuming a simple deformation model. The die is assumed elastic and the work elastic, perfectly-plastic. Deflections of the teeth and local elasto-plastic indentations of the tooth surfaces at the points of contact are considered. Effects of contact ratio, rolling stock, stiffness of the tooth, tangential force and the tooth profile error of the work before rolling on the finish rolled tooth profiles are discussed. And it is concluded that deflections of the teeth of the die and the work have a principal effect on the finish rolled tooth profiles. Finally a method is suggested to determine the profiles of the die theoretically based on this deformation model which generates a true involute profile on the tooth surface of the finish rolled gears.