Profilverschiebung von Zahnräder | Evolventenverzahnung | Vermeidung von Unterschnitt | Herleitung

During profile shifting, the tool profile is shifted outward by a certain amount during gear manufacturing. As the profile shift increases, the undercut decreases and can even be avoided entirely. A profile shift is always used when undercutting needs to be avoided, tooth stability increased, or the center distance specifically adjusted. A positive profile shift on external gears results in an increase in the root and tip circles, a widening of the tooth root, but simultaneously a narrowing of the tooth tip. Furthermore, the tooth thickness increases along the pitch circle, with the tooth gap correspondingly decreasing. The surface pressure is reduced by the more outwardly positioned part of the involute tooth flank. Both the base circle diameter and the pitch circle diameter do not change during a profile shift. With a negative profile shift, the aforementioned effects are exactly the opposite. Due to its many positive properties, a positive profile shift is generally recommended for the production of involute gears. 00:00 Introduction 00:30 Profile Shift 01:00 Influence of Profile Shift on Tooth Flank Shape 01:55 Pitch Point 02:51 Pitch Circle Diameter 03:51 Profile Shift Factor 04:33 Calculating Tip and Root Diameters 05:39 Increasing Tooth Thickness 07:08 Reducing Tip Diameter 08:44 Calculating Tooth (Tip) Thickness 10:10 Center Distance 11:20 V-Plus and V-Minus Gears 11:59 Operating Pressure Angle and Length of Contact 12:39 Calculating Profile Shift to Avoid Undercut 14:08 Derivation of the Profile Shift Factor 16:19 Hertzian Pressure 16:57 Summary