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The setup in Figure 3 does not reflect the correct kinematic coupling
conditions between pinion and gear. The kinematic coupling conditions require
the pitch cones of pinion and gear to roll without sliding on the generating gear
plane during the generating roll process.
Figure 4: Generating gear plane tangential to pinion root cone
In Figure 4 the rolling condition of the pinion versus its generating gear is
shown. The generating gear plane is tangential to the pinion root cone. The
angle between generating gear plane and pinion axis is equal to the root angle
of the pinion. Also, in Figure 5 the same condition is shown for the rolling of
the gear versus its generating gear is shown. The generating gear plane is
tangential to the gear root cone. The angle between generating gear plane and
gear axis is equal to the root angle of the pinion.
Figure 5: Generating gear plane tangential to gear root cone
The result of the incorrect kinematic coupling conditions of conventional
straight bevel gears are shown in the tooth contact analysis output (TCA) in
Figure 6.
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