Involute Gears Explained

  Рет қаралды 76,356

Gergely Bencsik

Gergely Bencsik

2 жыл бұрын

Involute gears are awesome.
Video made for Summmer of Math exposition 2 - #some2
Sources: www.tec-science.com/category/...
I used Manim for this video, and developed an addon for drawing gears:
github.com/GarryBGoode/manim-...
Manim sources for the video:
github.com/GarryBGoode/Involu...

Пікірлер: 194
@greentea5593
@greentea5593 Жыл бұрын
Background music is a bit too loud
@andrewh2341
@andrewh2341 Жыл бұрын
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
@harriehausenman8623
@harriehausenman8623 Жыл бұрын
This video(-series) is unique. I have not seen anything so clear and still in-depth ever!
@justRD1
@justRD1 Жыл бұрын
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!
@gergelybencsik8626
@gergelybencsik8626 Жыл бұрын
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?
@justRD1
@justRD1 Жыл бұрын
@@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!
@sky173
@sky173 Жыл бұрын
This is one of the best graphical explanations of gears I've seen. I'd love to see more like it!
@matteo_vezzoli9290
@matteo_vezzoli9290 2 жыл бұрын
Awesome video! Very clear and simple explanations, everything made so much sense
@dewix9207
@dewix9207 Жыл бұрын
Couldn't agree more
@harriehausenman8623
@harriehausenman8623 Жыл бұрын
Absolutely!
@millwrightrick1
@millwrightrick1 Жыл бұрын
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.
@miniwizard
@miniwizard Жыл бұрын
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.
@Doping1234
@Doping1234 Жыл бұрын
I'm a chemist with no particular interest in mechanical engineering but you still hooked me. Impressive explanation video!
@neilthomas2549
@neilthomas2549 5 ай бұрын
This is the best illustration I've seen on involute gears. Loved the 'all gears cut with a rack' demonstration.
@inciaradible7144
@inciaradible7144 Жыл бұрын
Fantastic video; never something I thought about before, but this is really beautiful to see.
@andym4695
@andym4695 10 ай бұрын
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.
@Moonman63
@Moonman63 Жыл бұрын
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
@Dilshad-gu7je
@Dilshad-gu7je Жыл бұрын
Thank you! I have watched several videos trying to explain these, thanks to your explanation I understand them a whole lot better.
@lukapogo
@lukapogo Жыл бұрын
insanely good animation and explanation! Your channel is definitely going places
@joels7605
@joels7605 Жыл бұрын
This is by far the best explanation of involute gears I've ever seen. Well done.
@mrwind7556
@mrwind7556 8 ай бұрын
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!
@bencesarosi7718
@bencesarosi7718 Жыл бұрын
Wow! This is among the best videos I've watched on the topic. Excellent work, thank you for the upload!
@volbla
@volbla Жыл бұрын
For the last year or so i've been sporadically studying how gears are shaped, mostly just for fun. This was an eminent summary!
@bertrc2569
@bertrc2569 Жыл бұрын
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.
@AmitKumar-xw5gp
@AmitKumar-xw5gp 2 жыл бұрын
Brilliant video ...Awesome animation...Totally incredible.. Loved it..
@tom-hy1kn
@tom-hy1kn 20 күн бұрын
The best explanation I have seen by far.
@ddburdette
@ddburdette Жыл бұрын
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!
@tomunger8197
@tomunger8197 Жыл бұрын
Beautiful video. You explained what I always suspected about gears. Thank you.
@vincentrobinette1507
@vincentrobinette1507 Жыл бұрын
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".
@ObserverChat
@ObserverChat Жыл бұрын
THE best video on gears i have ever seen so far. thanks for sharing.
@haseenmultimedia3103
@haseenmultimedia3103 Жыл бұрын
wow wow beautiful. You took a complex engineering topic and simplified to an interesting short video.
@apurvmj
@apurvmj Жыл бұрын
Appreciate the effort you took to make this video. 👌
@MohammadHosseinMousavi-u5s
@MohammadHosseinMousavi-u5s 6 күн бұрын
The video about involute gear was great, please make more like it👌
@mikewesselhoff439
@mikewesselhoff439 Жыл бұрын
This is the best explanation I've come across so far.
@user-zh3qf8ou9l
@user-zh3qf8ou9l 5 ай бұрын
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!
@shreyaskumar1
@shreyaskumar1 Жыл бұрын
Well animated the concepts! Appreciated :)
@BersekViking
@BersekViking Жыл бұрын
Fantastic explanation and graphics! Thank you!
@itztayro
@itztayro 4 ай бұрын
Really amazing , thank you Gergely Bencsik .
@paullinsay115
@paullinsay115 Жыл бұрын
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.
@lohikarhu734
@lohikarhu734 6 ай бұрын
best explanation of involute gear and module...even has the math to input into a program...for those with a certain 'drive' ;-)
@ralanham76
@ralanham76 5 ай бұрын
Thanks I never thought of it as a rack. It makes sense now.
@g.w.s.r.jayarathna6074
@g.w.s.r.jayarathna6074 8 ай бұрын
truly excellent explanation
@marcoscocco
@marcoscocco 6 ай бұрын
Fantastic animation man!
@cornerbloke8861
@cornerbloke8861 Ай бұрын
Thank you so much for this great video!
@CurtWelch
@CurtWelch 8 ай бұрын
Great video! Thanks for making it!
@qiangzhang-thingking
@qiangzhang-thingking 8 ай бұрын
the best gears tutorial in the world
@nixxonnor
@nixxonnor Жыл бұрын
Awesome presentation and explanation :D
@johnfox4691
@johnfox4691 Жыл бұрын
Superb explanation. Thank you!
@Tony-rd7gk
@Tony-rd7gk Жыл бұрын
Beautifully explained
@suheladesilva2933
@suheladesilva2933 Жыл бұрын
This was a great video, thanks a lot.
@RM-el3gw
@RM-el3gw 19 күн бұрын
cant believe this is free. Thank you so much
@ProduceOrPerish
@ProduceOrPerish Жыл бұрын
Thank you for making a great video.
@rushaidamahbub
@rushaidamahbub 3 ай бұрын
Amazing video!! This helped so much!!!
@MMARWANN007
@MMARWANN007 5 ай бұрын
Wow !!! I really LOVE it ... just perfect .May God bless you!
@swealf-nonofficial
@swealf-nonofficial 5 ай бұрын
This is really well explained
@goober650NX
@goober650NX 7 ай бұрын
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.
@uwezimmermann5427
@uwezimmermann5427 Жыл бұрын
Great explanations and a great work in Manim (I just saw your post on Discord).
@harriehausenman8623
@harriehausenman8623 Жыл бұрын
Manimazing! 🥳🥸
@Ashnek34
@Ashnek34 9 ай бұрын
Great Explanation. Thank you.
@AlexGontmakher
@AlexGontmakher Жыл бұрын
Finally i understand how gears work!
@PierreVapeur
@PierreVapeur Жыл бұрын
One of the best videos I've ever seen.
@superfao
@superfao Жыл бұрын
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!
@aaron9296
@aaron9296 7 ай бұрын
beautifully explained
@zainoo8298
@zainoo8298 Жыл бұрын
You are so underrated and deserve more subscribers
@machsuper
@machsuper Жыл бұрын
Brilliant video! Truly valuable information here.
@pedrogonzalobrito
@pedrogonzalobrito Ай бұрын
Very good video! Thank you.
@bluegrassengineer
@bluegrassengineer Жыл бұрын
Excellent explanation!
@dlyscas
@dlyscas Жыл бұрын
I would love to see or read more information on how the rack cuts the gear. Thanks for the video.
@two_number_nines
@two_number_nines Жыл бұрын
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)
@gergelybencsik8626
@gergelybencsik8626 Жыл бұрын
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
@two_number_nines
@two_number_nines Жыл бұрын
@@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.
@sirme1798
@sirme1798 Жыл бұрын
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.
@two_number_nines
@two_number_nines Жыл бұрын
@@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)
@5eurosenelsuelo
@5eurosenelsuelo 4 ай бұрын
Great video. Thanks!
@simonpelant7415
@simonpelant7415 Жыл бұрын
Absolutely perfect!
@juanyanez2105
@juanyanez2105 3 ай бұрын
This is a perfect video!
@user-mz7ku4bz9j
@user-mz7ku4bz9j 2 ай бұрын
Awesome video! thanks
@RSLT
@RSLT Жыл бұрын
Interesting! Fantastic VIDEO!
@BasementEngineer
@BasementEngineer Жыл бұрын
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.
@gergelybencsik8626
@gergelybencsik8626 Жыл бұрын
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'.
@BasementEngineer
@BasementEngineer Жыл бұрын
@@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.
@BasementEngineer
@BasementEngineer Жыл бұрын
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!
@ReaperUnreal
@ReaperUnreal Жыл бұрын
Oooohhhhhhhh, of course! This makes so much sense now.
@TheStringKing7
@TheStringKing7 2 жыл бұрын
awesome video!
@douggale5962
@douggale5962 Жыл бұрын
Wow, this is extremely clear.
@user-iv1ys3uo9e
@user-iv1ys3uo9e 7 сағат бұрын
Отличное представление!
@mitchok5555
@mitchok5555 Жыл бұрын
Great video and explanation, its a shame that i only found this because grant mentioned your video Should have alot more views
@big_whopper
@big_whopper Жыл бұрын
Wow! So clear! Thank you!
@sto2779
@sto2779 5 ай бұрын
Great explanation can you make a video about cycloidal gears and the pros and cons between the two? Thanks.
@becool4961
@becool4961 3 ай бұрын
Great video
@svdelhi
@svdelhi Жыл бұрын
Excellent Excellent & Excellent
@EvolventDesign
@EvolventDesign Жыл бұрын
Nice Job!
@SpectralCollective
@SpectralCollective Жыл бұрын
Great explanation!
@neilhendry2204
@neilhendry2204 Жыл бұрын
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?
@clayz1
@clayz1 Жыл бұрын
Nice animations. I swear I’m going to get this. Soon.
@Erbpyadav
@Erbpyadav Жыл бұрын
Best explanation
@nacheems8047
@nacheems8047 8 ай бұрын
this is sooo underrated
@elmadnafamily4612
@elmadnafamily4612 Жыл бұрын
What an amazing video
@Tensquaremetreworkshop
@Tensquaremetreworkshop Жыл бұрын
Excellent explanation! Clear and succinct. But the music background is distracting and masks the narration- you don't need it.
@ThainaYu
@ThainaYu Жыл бұрын
This video is very underrated
@blank4305
@blank4305 Жыл бұрын
Great video, thank you! The music is too loud though, it covers your voice.
@harriehausenman8623
@harriehausenman8623 Жыл бұрын
Yes! Can we have a version without the music? Pleeeaaase 🥺
@rogerbye4047
@rogerbye4047 Жыл бұрын
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.
@ZenithWest169
@ZenithWest169 Жыл бұрын
Awesome video, only wished it covered more types or at least was part of a series.
@gergelybencsik8626
@gergelybencsik8626 Жыл бұрын
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
@jimsvideos7201
@jimsvideos7201 9 ай бұрын
Brilliant.
@BetaKeja
@BetaKeja Жыл бұрын
🤔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.
@LauAM80
@LauAM80 Жыл бұрын
Hello, the music is stunning. Is it possible to know the title/reference ?
@doronkra4304
@doronkra4304 6 ай бұрын
very good
@megalomaniac6464
@megalomaniac6464 Жыл бұрын
This is so cool.
@francomaccaroni795
@francomaccaroni795 Жыл бұрын
soooo good video..!!
@harriehausenman8623
@harriehausenman8623 Жыл бұрын
yeeeeeess11 🤣
@omoliemi
@omoliemi Жыл бұрын
I love this video
@ty_mech_a31_shriramlondhe54
@ty_mech_a31_shriramlondhe54 Жыл бұрын
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
@gergelybencsik8626
@gergelybencsik8626 Жыл бұрын
Well, I have a short animation on cycloids. Not a full video, but you might get the basic concept. kzfaq.info/get/bejne/hr-Cd72Xp9_Ipqs.html
@swamihuman9395
@swamihuman9395 Жыл бұрын
Excellent. Thx.
@michaelrtreat
@michaelrtreat Жыл бұрын
Thank you
@minophilic6577
@minophilic6577 Жыл бұрын
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.
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