Involute Gears Explained
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- čas přidán 4. 09. 2024
- Involute gears are awesome.
Video made for Summmer of Math exposition 2 - #some2
Sources: www.tec-scienc...
I used Manim for this video, and developed an addon for drawing gears:
github.com/Gar...
Manim sources for the video:
github.com/Gar...
I’m definitely sending my mechanical engineering students to this video when we get to the gears section of machine design. The animations really help illustrate the concept way better than I can draw on the whiteboard
This video(-series) is unique. I have not seen anything so clear and still in-depth ever!
Amazing!!! The way you visualized a profile shift at 2:45 on the two involutes based on center distance is phenomenal!! You should make a video expanding on the profile shift coefficient and it’s effects on sliding factor and undercut!
Thanks! It's a work-in-progress... imgur.com/a/ng18Bgj
I actually didn't know about the 'sliding factor'. Or at least not with this name. Could you give me a source on that?
@@gergelybencsik8626 Contact ratio would be the correct name. Profile shifts affect working pressure angle which modifies the final contact ratio of gear pairs. Can’t wait for the next video!
This is one of the best graphical explanations of gears I've seen. I'd love to see more like it!
Awesome video! Very clear and simple explanations, everything made so much sense
Couldn't agree more
Absolutely!
I had to learn all this when I was in trade school learning to be a millwright. Just a note that older gears had a 14.5 degree pressure angle and don't mesh with modern gears.
i was stuck at involute circles for a good 2hrs. this video resolved my confusion in 5mins
This is the best illustration I've seen on involute gears. Loved the 'all gears cut with a rack' demonstration.
Stunnningly demonstrated, explained and created. Something I had never thought about before, but makes perfect and sense when watching this video and the geometrical reasoning and constuction is truly beautiful.
I'm a chemist with no particular interest in mechanical engineering but you still hooked me. Impressive explanation video!
Background music is a bit too loud
Fantastic video; never something I thought about before, but this is really beautiful to see.
Glad to see the introduction of the rack principle which does away with complex maths for gear production. Not all gears are made with a rack cutter. In fact most are not.
I once worked as a shipping clerk at a machine shop that made precision gears that were used to check production gears. Although it was not strictly necessary for my job, I became fascinated with the geometry of gear teeth, otherwise known as involutometry. That was 40+ years ago, but I still find it interesting!
For the last year or so i've been sporadically studying how gears are shaped, mostly just for fun. This was an eminent summary!
I am a mechanical engineer and you have explained gears better in less than 7 min than my university did in 4 years. Thank you!
Excellent explanation! I will have to watch this video again, to remember the terms. It does make perfect sense, and good to know, that it's theoretically possible to make straight cut gears run smooth, quiet, and efficiently. In auto racing, we call these "spur gears".
Wow! This is among the best videos I've watched on the topic. Excellent work, thank you for the upload!
finally a good vieo explaining everything major in gear geometry and respecting the viewer's intelligence. I need one for angled gears (axises of rotation not being paralle)
I'm planning to follow up with undercutting and profile shift. I can't promise angled gears, I need to research them first, and going 3D is a bit of a challenge
@@gergelybencsik8626 yeah its quite a task. keep doing what you like and are good at. I like this presentation style and plan on watching whatever you upload.
Wouldn't angled gear just me cross section of a cone instead of cylinder? Circle to cylinder makes 3d, cylinder to cone makes angled.
Just a guess.
@@sirme1798 It probably is exactly this, but I want to see how it behaves with slightly misaligned axles and also how the geometry of helical gears applies to angled couplings (most car differentials)
One thing that you didn’t point out, though it’s clear from your animation, is that the force applied to the gear at the point of contact is always perpendicular to the radius of the gear. This means that as the gears rotate they are always producing the maximum torque on each other and it is constant as they spin.
The video about involute gear was great, please make more like it👌
Thanks for the video. I've been learning how to draw gears in another video, but your animation really helps me visualize how the numbers work together.
Thanks I never thought of it as a rack. It makes sense now.
Excellent video. I read up on gears for a project I was doing and never found a straight forward explanation as well done as this video
insanely good animation and explanation! Your channel is definitely going places
Brilliant video ...Awesome animation...Totally incredible.. Loved it..
This is by far the best explanation of involute gears I've ever seen. Well done.
The best explanation I have seen by far.
Thank you! I have watched several videos trying to explain these, thanks to your explanation I understand them a whole lot better.
the best gears tutorial in the world
wow wow beautiful. You took a complex engineering topic and simplified to an interesting short video.
Great Video!!! Recently I studied a lot of materials about gear to make proper 3d gear models. No one(including videos, books and web pages) is clear than this one. Thanks!
Really amazing , thank you Gergely Bencsik .
This is the best explanation I've come across so far.
Thank you so much for this great video!
THE best video on gears i have ever seen so far. thanks for sharing.
best explanation of involute gear and module...even has the math to input into a program...for those with a certain 'drive' ;-)
Awesome video, only wished it covered more types or at least was part of a series.
I am planning to follow up with undercutting and profile shift of involtue gears. After that, I might do one on cycloid gears. If you mean other types like bevel gears or worm gears... I would need to switch to 3D animation for them, and I kinda wanted to stay 2D
Great explanations and a great work in Manim (I just saw your post on Discord).
Manimazing! 🥳🥸
I have seen so many explanations for this, but non of them helped me doing the "click". This is one did, it is the definitive one!
Excellent video presentation.
I understand that for gears to mesh properly they have to have the same module, (M1, M2, M3, etc) and I think that is the modern version of the older imperial Diametral Pitch system. For those not familiar with it, could you do a presentation of Diametral Pitch. I know that basically it's the number of teeth per inch of circle circumference.
Thanks for making the video and for taking the time to upload.
Finally i understand how gears work!
Very well done, thank you! A couple of points, though. Lose the music! It is not necessary.
Secondly, you state that the gear teeth flanks slide on each other. In fact on spur gears they ROLL on each other. Certain other gears, such as worm gear and worm, and hypoid gears, see sliding motion and for that reason require a special lubricant. Good animation, and the formulae for the involute curve are the first time I have seen them.
Well, this sliding topic seems to be a recurring thing that I now must make into part 2 - if I ever finish it. Can you give me a source for your rolling claim? This is where I stand: there is rolling only at the middle part of the flank, at the pitch point, and the closer you get to the root or tip of the gear, there's more sliding. And since the rolling is only momentary, and not sustained over the contact surface, the motion must be categorized as 'sliding'.
@@gergelybencsik8626 In engineering school I definitely was taught of the tooth's rolling motion.
When checking resources with google, it appears that the rolling motion is appended with "sliding" motion at the extremes of the tooth engagement.
I suspect that much of this type of engagement depends on the accuracy of the tooth form.
I had the opportunity to speak with a gearing specialist who is recognized internationally.
He confirmed with what I found and reported on 2 days ago: Rolling motion when teeth are in contact at the pitch circle, and sliding motion as the contact point moves away from the pitch circle.
Glad to be able to update my dated knowledge!
cant believe this is free. Thank you so much
Beautiful video. You explained what I always suspected about gears. Thank you.
Great video, thank you! The music is too loud though, it covers your voice.
Yes! Can we have a version without the music? Pleeeaaase 🥺
I agree. I gave this a thumbs up, but the music is very distracting. Too loud, and too repetitive. I would not watch any more videos with this music.
Appreciate the effort you took to make this video.
👌
Brilliant video! Truly valuable information here.
truly excellent explanation
Wow !!! I really LOVE it ... just perfect .May God bless you!
This is really well explained
Great video! Thanks for making it!
Fantastic animation man!
Oooohhhhhhhh, of course! This makes so much sense now.
beautifully explained
Fantastic explanation and graphics! Thank you!
Great Explanation. Thank you.
That's really cool!
What's the little jump in the upper gear's dedendum profile in the animation at 6:14? Is it supposed to be there? Or did you change the type of template used suddenly?
BTW this is probably Wintergatan's bread and butter haha!
Good catch! It's a glitch in the way I do the rounding at the root. I actually use the same function as for the undercut, and at that point the curve disappears because the root radius is not deep enough to calculate it the same way. So the rounding is just a small adjustment of bezier ctrl points between the arc and involute.
@@gergelybencsik8626 Ah that's interesting! Sounds like a hard problem to solve.
@@gergelybencsik8626 stupid non-arbitrary-precision floating points 😂
Well animated the concepts! Appreciated :)
Beautifully explained
Great video and explanation, its a shame that i only found this because grant mentioned your video
Should have alot more views
this is sooo underrated
Thank you for making a great video.
Excellent explanation! Clear and succinct. But the music background is distracting and masks the narration- you don't need it.
I would love to see or read more information on how the rack cuts the gear. Thanks for the video.
This was a great video, thanks a lot.
Great explanation can you make a video about cycloidal gears and the pros and cons between the two? Thanks.
This video is very underrated
Отличное представление!
One of the best videos I've ever seen.
Amazing video!! This helped so much!!!
Superb explanation. Thank you!
This is quite good, but the only thing I didn't like is the outside square that makes it look like I'm watchjng a projector presentation.
Well, thanks for the feedback. I did want to make it feel like a projector changing slides, so... success I guess? Is the whole bounding box bothering you, or just the transition?
Great video! I have a question: the values of 1m/1.2m for the addendum/dedendum are arbitrary or have a geometric explanation?
Good question, I haven't found any data on that when researching gears. The dedendum is larger for clearance, I saw some sources that separate it into 3 parts: 1m addendum, 1m dedendum, ~0.2m clearance, and the clearance value seems to vary a lot. I chose to keep it simpler this way. Keeping it proportional to 'm' is a good idea, then all your gears will be similar shape, just different size. Why is it exactly 1m? I can't tell you, although all sources agree on it. It seems to me it's a value that works really well in practice. If you increase it, the tooth becomes kind of pointy and long and thin, which makes it mechanically weaker. If you decrease it, you reduce the contact ratio, meaning you risk that during rotation, at certain points none of the teeth engage because they're too short and stubby.
I think like most things in engineering it has been tested empirically then standardised in the simplest way possible
Wow, this is extremely clear.
Absolutely perfect!
Great video. Thanks!
Excellent Excellent & Excellent
This is a perfect video!
You are so underrated and deserve more subscribers
0:52 wait it's looks like the graph thingy we used to find next root term something like that from Pythagoras theorem. I guess it's just a semi-permiter and kinda coincidental, unless it actually relates with it.
Thank you sir
Due this animations and your explanation it's very easy to understand
Please can you make one video on cycloidal gears also
Well, I have a short animation on cycloids. Not a full video, but you might get the basic concept.
czcams.com/video/PYRDZfBydvw/video.html
Nice animations. I swear I’m going to get this. Soon.
Great explanation!
They exactly do NOT slide with each other, they actually ROLL on each other.
I'm still quite certain the tooth flanks slide more than roll. Do you have any source on this?
Only on the point where the line of action intersects with the pitch circle does true rolling occur. Otherwise there is always some sliding.
Excellent video that is not only fully correct but is clear and graphically impressive. I would like to copy the link for my students with your permission?
Sure thing, I'm glad you find it useful.
@@gergelybencsik8626 Many thanks I will let my students know and give you credit. Just curious what software you used to generate the videos?
@@paulbriozzo4895 It's called Manim, a python based thing originally designed by 3blue1brown, but now there's an open source community around it. The sources are linked in the description by the way.
Awesome presentation and explanation :D
Fantastic video... But it is a complex topic so the underlying music is a bit strong for concentrating on a matter like this. Very subtle music, or voice only should be kinda better.
Great video
Nice Job!
good video, however I think the loud music distracts from your speaking, sometimes it's hard to hear what you're saying because the music is too loud
Thanks for the feedback. It sounded OK on my computer when the music was down -12dB, and then I got it down to -14dB just in case... But not enough it seems. I also need to improve my speech, gonna try to do better next time
@@gergelybencsik8626 The hardest part about making YT videos is getting the volumes right... Which too me, is mostly CZcams's fault, for not caring about the gain of the sounds in videos when they're uploaded, and rather only care about ruining the quality of the waveforms. And they don't have any guidelines on how loud the video is supposed to be, which is even dumber. They could've just said that it should only be 60dB(natural speaking volume) output. It would've been a lot easier for people do deal with if it was just that.
it sounds fine on mobile for me
I was going to make a similar comment. The graphics and explanation were great. I didn't think music was necessary, but is was not offensive music -- like the clicks in the "music" other YTers use and abuse the viewer with the type of music. The volume of this music interfered with the narration.
Best explanation
awesome video!
Interesting! Fantastic VIDEO!
🤔Is the gear teeth profile a circular inversion of the rack profile? Seen that a few times recently and your animations reminded me of it.
Keep Teaching us, Great video Dude !
👁️👁️👃👁️👁️🙏
Wow! So clear! Thank you!
Great explanation. Thank you. As an amature clock maker, I am wondering if there is any chance of a similar explanation of the cycloidal gear profile?
personally the music is a bit loud over your voice and kind of repeating a lot and a little distracting because of this other then that i really really enjoyed the explanation :)
Great explanation, greater animations. Shame about the music... too loud and very distracting.
ingenuity in everyday objects