Study on the Forging of Splines with Hollow and Solid Billets

Forging of trapezoidal spline, serration and square spline with solid cylindrical billets and hollow one has been investigated by means of upper bound method. Kinematically admissible velocity fields for forging of splines have been proposed in this study. The half pitch of spline has been divided into several deformation regions. The neutral surface is introduced into forging of splines with flat punch and, for each step, it is assumed as a circle with its radius . Upper bound solutions obtained by proposed kinematically admissible velocity fields are useful to predict the loads for forging of splines.