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The addition of the two outer calculation loops (visualized in Figure 14) with
                   the strategy of increasing one of the front clean up depths (either on the inside
                   blade or on the outside blade) resulted in a 3-face blade spacing, which dupli-
                   cated precisely the original 2-face reference blade. Calculations with the post-
                   revision TREFACE program in connection with an input value for the effective
                   cutting edge hook angle between 0° and +1° deliver a new generation 3-face
                   blades, which eliminate all length crowning errors and reduce about 85% of the
                   flank twist experienced with the pre-revision software.

                   Practical proof of this is shown in the flank deviation graphic in Figure 21. The
                   3-face  blade  calculation  was  repeated  with  the  post-revision  TREFACE  pro-
                   gram. As input for the effective hook angle values of inside and outside blades,
                   the recommendation above was applied. Pinions manufactured with the new 3-
                   face blade geometry in a cutter head with 12° slot inclination angle are meas-
                   ured with the standard CAGE download file (based on 2-face blades with 12°
                   blade side rake angle used in a cutter with 4.42° slot inclination) result in a sin-
                   gle  micron flank form deviation,  with  an excellent Sum  of  Errors  Squared  of
                   0.000 000 46inch².


                   26.8  Summary

                   In face hobbing the cutting-edge hook angle as well as the spacing between
                   outside and inside blades has an influence on the flank geometry of the manu-
                   factured bevel gears. In an industrial environment, the basic blade geometry
                   (reference blade) is defined with the original job design early on but the deci-
                   sion “2-face or 3-face blades” is made only much later in the process. Manu-
                   facturers  like  not  to  accept  that  their  decision  to  use  3-face  ground  blades
                   could change the flank geometry development of their already approved de-
                   signs. This was the reason for a major revision of the Gleason blade summary
                   calculation program TREFACE.

                   3-face  blades  ground  with  summaries  calculated  with  the  post-revision
                   TREFACE software do not create length crowning differences compared to the
                   2-face  reference  blade.  All  flank  twist  or  bias  differences  between  gears  cut
                   with  3-face  blades  versus  the  2-face  reference  blade  can  be  eliminated  or
                   greatly reduced, if the effective cutting edge hook angle is chosen between 0°
                   and 1°. The new calculation allows the user to make the decision to use cut-
                   ters with slot inclinations higher than the reference cutter in connection with 3-
                   face  ground  blades  much  later  than  the  development  of  the  gearset  design.
                   This enables a manufacturer to develop and manufacture in different locations
                   without the potential of discrepancies between desired and achieved flank ge-
                   ometry. It also makes the manufacture of the same gearset design possible in
                   different locations without noticeable differences.



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