Page 352 - Gear Technology Solutions

If the maximal Radii limits from a cutting-edge length of 5mm up to 25mm are
transferred from Figure 4 into a separate diagram, then the graphic in Figure 5
is created.

Figure 5: Maximal radius of curvature for a given cutting-edge length

25.4 Modified Approach to Determine the Maximal Radii

Studying the curve in Figure 5 leads to the acknowledgement that the cutting-
edge length of 20mm and larger permits an adequate size curvature radius.
Cutting edge length of 10mm and below appear to limit the curvature radii at
too low values compared to the common bevel gear design practice.

In order to create a more realistic diagram, which considers knowledge and
experience in bevel gear technology, a straight-line equation is introduced
which changes the Da limit values between L = 5mm and L = 25mm to more
realistic and practically proven values:

Applied is Da = 0.0011 for L = 10mm and Da = 0.0015 for L = 20mm.
A straight-line equation (y = mx + b) is used to calculate the Da values for all
the L values covered in the diagram.

The following equation satisfies these boundary conditions:

Da = 0.00004*L + 0.0007

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