Dear Sirs:
We have installed a Gear Shaping machine (model: similar to Lorenz LS400). We would like to operate at 20 mpm cutting speed while cutting internal splines. The intruction manual says: cutting speed = pi * stroke length * strokes per minute / (1000)
(note, here stroke length = spline length + approach + over travel)
I do not understand why greek pi (value = 3.1428) presents in this formula when the cutter does not follow a circular motion. Here the cutter follows a reciprocatory movement and shifted for relief by about 0.5mm away from cutting surface. To my understand, I think the formula must have been cutting speed = 2 * stroke length * strokes per minute / (1000)
Can anyone explain why "pi" is considered in the formula.
Awaiting your help
with best regards
N. Ayyavu