Involute Gears 2: Undercut and Profile Shift

In this video I'm trying to tackle undercutting and profile shifting of involute gears.

Animation manim sources:
Gear drawing toolbox for manim:
CAD utils for manim for dimension drawing:

[sharkbaitsurfer]

You've taken a potentially difficult concept and explanation and delivered it beautifully - the animations are superb also - thank you

[harriehausenman]

The voice is understandable, the audio perfect, great editing and the visuals are just astonishing and beautiful. 👍

[hoseinfooladfar]

Thank you. That was quite helpful and you explained clearly. also the animations are astonishing👌👌

[freebeerecords]

Thanks, that really clears up the rolling vs sliding question. Very nice animations and analysis, many thanks!

[harriehausenman]

That's a really great in-depth look at undercuts. Love the math! 🤗
Now I guess I have to watch the rest of the series 😉

[MedEngd]

Absolutely fantastic explanation, thank you so much!

[mattiaslaserskold]

I wish I had seen this and the previous video first. Seriously, thanks!

[AKfire]

great animations and explanation.. great work..

[justRD]

Awesome video! Can’t wait for part 3!! Any chance of doing that final animation to compare high contact ratio vs low contact ratio to see how the total sliding is affected?

[PeterBaumgarta]

Nice! Regarding your last argument: It can be shown mathematically that there has to be sliding, or rotation will not be smooth.

[Mr.MentirosoleFraud]

oh, man. your vids are bible-like. every day i seeem i learn something more

[smoke]

Where can I get the parametric equation that defines the trochoid curve for each specific gear? I need it to draw it in CAD system

[pmlzikf]

Awesome video series on gears! Keep up the good work.

I have one question for now: Why do you use "=1.25m" in the equation at 6:14 instead of "=m"? It seems like others use "=m" from what I've found on blogs online. Thanks!

[RZWRrg]

Can you make a video about `how we measure the undercut?` Thanks for your work about gearing!

[volbla]

For a few weeks i've been agonizing over where exactly the involute curve and the undercut curve meet. Is there a closed formula for it? I'm starting to fear there isn't.

[ILSCDF]

Have you found a closed form for the intersection of the involute and the trochoid with your ideal rack?

[yousefalshehri]

I have a question, does the profile shift apply only to the pinion? or to both gear and pinion?

[oosmanbeekawoo]

Is there any use for gears nowadays? Gears to me seem like Renaissance-era old stuff

[randomaccessbrains]

Luckily my textbook also uses 1.25m for hd, so it was easier to follow along

[Mobosh]

whats the point of undercut gears though?