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21.4 Generating Principle of a Cross-Axes Helical Gear Pair

                   The  relationship  between  generating  rack  and  the  two  mating  helical  gears
                   which mesh under a cross-axis angle is shown in Figure 3. The two gear rota-
                   tions as well as  the generating rack movement are in three  different planes.
                   The graphic in Figure 3 makes it evident, that the common contact location be-
                   tween pinion and gear in each shift position of the rack can only be a single
                   point.






















                                  Figure 3: Generating rack between pinion and gear



                   21.5  Influence of Center Distance Changes

                   Figure  4  shows  in  4  steps  the  changes  to  the  contact  location  and  contact
                   normal vectors in order to explain the physics behind the center distance sen-
                   sitivity of crosses axes helical gears. The initial pair of normal vectors is drawn
                   for example in the pitch point. The center distance change moves the normal
                   vector of the upper gear to location 2. Rotation 3 is required to eliminate the
                   backlash which was caused by the center distance change. The new contact-
                   ing point of both gears will neither be in position 1 nor will it be in position 3. A
                   new contacting point with a normal vector pair will result from the interaction of




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