Generating on the Pitch Cone

<p style="text-align: center;"><img src="/ueditor/php/upload/image/20250430/1746005796961889.png" title="1746005796961889.png" alt="5.png"/></p><p style="text-align: justify;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12px;">All the older straight bevel gears are generated by rolling on the root cone, rather than on the pitch cone. Figure 1 shows to the left the traditional orientation between the generating plane and the pitch cone of a gear. This orientation violates the kinematic coupling condition between gear, generating plane and pinion. Both mating Coniflex Pro members roll with their pitch cones on the common generating gear plane as shown to the right in Figure 1. This was not possible in the past because the tip circle of the cutting tool had to be adjusted to the root angle of the tapered depth teeth of the gears and due to the mechanical restrictions of older machines, the generating gear rotation was automatically orthogonal to the root line of the cut gear. Thus, the gears were generated on the root cone rather than on the pitch cone.</span></p><p style="text-align: justify;"><span style="font-family: arial, helvetica, sans-serif; font-size: 12px;">Free-form Phoenix machines do not have the traditional mechanical restrictions. Therefore, the choice of adjusting the cutter tip circle tangential to the root line of the cut pinion and gear and yet performing a roll motion around a generating gear axis perpendicular to the gear’s pitch cone has become possible with Phoenix machines. The result is a perfectly conjugate interaction between pinion and gear, like shown in the contact analysis in Figure 2. The ease-off topography is zero and the tooth contact extends over the entire working area. The motion transmission error has a slight numerically caused variation but is practically zero. To prepare a gear set for manufacturing tolerances and deflections under load, length crowning can be created with a dished cutter as shown in Figure 3 and profile crowning can be created with a second order ratio of roll modification.</span></p><p><br/></p><p><br/></p>