Nevermind him, he's got a stick up his ass about Mastercam and goes into a rage whenever anyone mentions it.
I guess you figure that when people are not around, you can just lie through your teeth with impunity ? Because this is totally untrue. I have no opinion on Mastercam and haven't said doodly-squat about it over the years.
Can Mastercam do it, yes of course.
'Of course' ? Okay, bunky, here ya go. You have an hour.
Bevel teeth are tapered in form, smaller at the inside and bigger at the outside. The face is a curve defined from a mathematical equation. Draw the two involute curves and connect them with a ruled surface, fine. Mastercam should be able to do this, altho I'm betting it won't be fun.
Except there's still the roots - those are a trochoid. Equations are here
or more accurately, because of the path of the cutting tools, here
Roots are just as important as teeth, because that's what determines the fatigue strength. After people pay a bunch of money, they want to be sure the part won't fail after ten revolutions.
Now, spirals ... arc that ruled surface ... is that possible ? I don't know. Each arc as you go up the face is going to be a different radius, because of its position on the tooth.
Then take the planes that your arced teeth are centered on and kick them over 30* off-axis. Maybe need to redo all your math ? Again, I dunno but seems likely.
Not uncommonly the two sides of the tooth are different. That's why on a Gleason it's common to have separate cutters for the drive and coast sides. Better model each side separately.
Now that you have this all drawn up, let's don't forget modified roll. This is where the cutter is kicked in a tiny bit at the ends of travel, so the teeth are thinner at the ends than the middle. This makes the initial contact patch in the center of the teeth, spreading out to the ends as the load increases. End contact is not a good thing, it makes teeth break. Here's some help with that
Based on grinding mechanism and machine-tool settings of the Gleason modified roll hypoid grinder, a mathematical model for the tooth geometry of spir…
So, knock yourself out with your Mastercam. I'm sure it will be simple and fun. And no, you don't get to cut corners. People pay big money for this stuff, they expect it to work.
Deckel got into this because there are four (4) large Gleasons in the entire world. For doing large one-off stuff it makes sense. It's three-axis work, anyhow. What's complex is the shapes, not the machining. But unless you are really really brilliant, the Deckel software is what you want, not to spend a hundred and fifty hours struggling with mastercam before you give up.
There was also one guy who did the math to create models of spiral bevels. It's written in APL2. I do not know if it's accurate enough for machining, particularly the roots. But that would be the only other software I'm aware of that might be practical to use for this purpose.