Involute Gears 3: Contact Ratio

3rd part of my involute gear series, about contact ratio.

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

[sharkbaitsurfer]

The explanations and animations are simply wonderful - thank you so much for taking the time to compose this series.

[sky]

This was one of the best series on gear design/profiles I've seen in a long time. You made the explanations extremely easy to understand, and even included the math parts that I love. Thanks for sharing. I hope to see more like it especially with other types of gear. Personally, I need to make a 10-tooth gear. This series of videos are the only ones that I found that explains what I need to do to make it work efficiently. Thanks again.

[CruzMonrreal]

This was an EXCELLENT mini series. Thank you for creating and sharing.

I finally feel like I understand gears, the math behind them, and various tradeoffs when creating them.

[vycanon]

A wonderful series with beautiful presentation and non intrusive but good math I can go back to. It scratches everything I want in an educational video.

[sairishikesh]

THE BEST EVER. You simplify everything so neat and elegant, i could keep watching your videos all day. Your accent is amazing and the humour, bro! Great job!

The world will be a better place if you have more subscribers.

[eurosenelsuelo]

What an amazing series. Thank you so much. I will check your other videos. I hope you continue making videos about gears too.

[harriehausenman]

Fantastic presentation! As far as I can tell, nicely researched and the animations are just gorgeous 🤗

[eduardosantacruz]

Bro amazin explanation I loved this mini serie, thank you so much for you work!

[paulbriozzo]

Excellent video once again. Might also be worth noting that the contact ratio is important because it is a measure of single tooth loading. Ideally this distance should be minimised this. The more teeth in mesh the quieter and smoother your gears will run. They will also have less chance of breakage.

[tom-hykn]

Excellent video. Why is it so hard to find good explanation of the reason behind gear shapes?

[Mrfishfish]

May I make a supposition: Pythagoras is the recognized 'inventor" of 3.1415...etc. and may be shortened to Py, not Pi. Your videos on gears bring about some curious prospects for me. I do not know how to draw a gear tooth profile with any accuracy, the only thing I could probably do is put a pencil on a string, tack down the curvature of the base of the dedendum diameter, and draw the tooth profile. I use ellipses to draw my gear teeth on my CAD software. Understanding your formulas is reasonably easy although I am not familiar with your variables and I don't think my ability to fabricate a working gear assembly wouldn't be all that difficult with the machine tools that I have. I am not quite up to that just yet but when I do I will find out whether I can make working gears models or not. I am not very familiar with undercut, and my default gear profiles are usually in contact on both sides of the tooth, so allowing some clearance will have to be discovered as to the gears spacing value from my calculations. I call it fudging the measurements. Thanks for your videos, they sound very well educated.

[justRD]

Awesome! What sort of topics will you be moving on to?

[guruparan]

This is really great video, could you make a video to explain the transverse contact ratio and overlap contact ratio for helical gears

[toniruestes]

Excellent video! One question, do you know how to calculate the contact ratio between a normal spur gear and an internal spur gear? Thank you very much.

[paramjitsarkar]

Could you make a video on visualizing the construction of bevel gears? I haven't found much on the topic so it would be much appreciated!

[GearTiger]

amazing video, thank you !!! which software you use can make such simulation, especially when the gear change the number of teeth, and turn small continue, how to make such video ?

[justRD]

This is beautiful. Visualizations always help expand my understanding. I’ve been reverse engineering a transmission and this helps me further understand the OEMs use of positive profile shifted gears mated with negative profile shifted gears.