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                   Today’s CNC controlled Phoenix  free form machines have the Helical Motion
                   capability automatically by their interpolated axes movement.


                   4.7  Why is Conjugacy not Desirable for Real World Applications?

                   In  1926  Ernest  Wildhaber  [3,  8]  was  the  first  to  propose  applying  surface
                   crowning on hypoid gears.  Wildhaber  acknowledged that the slightest devia-
                   tions in the gear housing and in the building position as well as deflections af-
                   fected by load and heat will cause edge contact with peak stress levels of a
                   multiple of the allowable values the gearset had been designed for. The conju-
                   gate  gearset  used  for  the  TCA  in  Figure  11  was  repeated  with  realistic  dis-
                   placement  values  of  50mm  offset,  50mm  pinion  cone  and  30’  of  shaft  angle
                   change. The results in Figure 14 show warped and tilted Ease-Offs and se-
                   vere edge contact on heel and top. This edge contact will cause noisy opera-
                   tion followed by pitting and tooth fracture.























                      Figure 14: TCA of conjugate hypoid set from Figure 11 with displacements

                   The theoretically conjugate hypoid set will depart from fulfilling any of the fun-
                   damental gearing laws in case of the smallest gearbox inaccuracies or deflec-





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