Page 351 - Gear Technology Solutions

In the case of a cutting-edge length of 20mm the graph moves up versus the
red limiting line and the intersection between the graph and the maximal radius
limiting line is at R = 3030mm (Figure 3).

25.3 Array of Allowed Variation versus Radii

A variety of graphs for cutting edge length from 5mm up to 25mm is shown in
a
Figure 4. The diagram makes it clear that the limit value D for a cutting-edge
radius of 0mm is infinite.
lim Da = ∞
R→0
If the radius increases to infinity, then the limit value Da approaches zero:

lim Da = 0
R→∞
Also here, the inverse relationship between the cutting-edge radius and the
crowning value a becomes obvious and leads in the curves of Figure 4 to a
hyperbolic characteristic with the ordinate and the abscissa as asymptotes.

Figure 4: Maximal radii for a variety of cutting-edge length

336