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Involute Gears Explained 

Gergely Bencsik
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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...

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16 июл 2022

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Комментарии : 192   
@andrewh2341
@andrewh2341 Год назад
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 Год назад
This video(-series) is unique. I have not seen anything so clear and still in-depth ever!
@justRD1
@justRD1 Год назад
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 Год назад
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 Год назад
@@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 Год назад
This is one of the best graphical explanations of gears I've seen. I'd love to see more like it!
@millwrightrick1
@millwrightrick1 Год назад
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.
@matteo_vezzoli9290
@matteo_vezzoli9290 Год назад
Awesome video! Very clear and simple explanations, everything made so much sense
@dewix9207
@dewix9207 Год назад
Couldn't agree more
@harriehausenman8623
@harriehausenman8623 Год назад
Absolutely!
@greentea5593
@greentea5593 Год назад
Background music is a bit too loud
@lukapogo
@lukapogo Год назад
insanely good animation and explanation! Your channel is definitely going places
@andym4695
@andym4695 10 месяцев назад
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.
@miniwizard
@miniwizard Год назад
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.
@Moonman63
@Moonman63 Год назад
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
@inciaradible7144
@inciaradible7144 Год назад
Fantastic video; never something I thought about before, but this is really beautiful to see.
@bencesarosi7718
@bencesarosi7718 Год назад
Wow! This is among the best videos I've watched on the topic. Excellent work, thank you for the upload!
@Dilshad-gu7je
@Dilshad-gu7je Год назад
Thank you! I have watched several videos trying to explain these, thanks to your explanation I understand them a whole lot better.
@neilthomas2549
@neilthomas2549 5 месяцев назад
This is the best illustration I've seen on involute gears. Loved the 'all gears cut with a rack' demonstration.
@volbla
@volbla Год назад
For the last year or so i've been sporadically studying how gears are shaped, mostly just for fun. This was an eminent summary!
@joels7605
@joels7605 Год назад
This is by far the best explanation of involute gears I've ever seen. Well done.
@vincentrobinette1507
@vincentrobinette1507 Год назад
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".
@tomunger8197
@tomunger8197 Год назад
Beautiful video. You explained what I always suspected about gears. Thank you.
@Doping1234
@Doping1234 Год назад
I'm a chemist with no particular interest in mechanical engineering but you still hooked me. Impressive explanation video!
@apurvmj
@apurvmj Год назад
Appreciate the effort you took to make this video. 👌
@ObserverChat
@ObserverChat Год назад
THE best video on gears i have ever seen so far. thanks for sharing.
@AmitKumar-xw5gp
@AmitKumar-xw5gp 2 года назад
Brilliant video ...Awesome animation...Totally incredible.. Loved it..
@shreyaskumar1
@shreyaskumar1 Год назад
Well animated the concepts! Appreciated :)
@haseenmultimedia3103
@haseenmultimedia3103 Год назад
wow wow beautiful. You took a complex engineering topic and simplified to an interesting short video.
@mikewesselhoff439
@mikewesselhoff439 Год назад
This is the best explanation I've come across so far.
@Tony-rd7gk
@Tony-rd7gk Год назад
Beautifully explained
@BersekViking
@BersekViking Год назад
Fantastic explanation and graphics! Thank you!
@user-zh3qf8ou9l
@user-zh3qf8ou9l 5 месяцев назад
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!
@itztayro
@itztayro 4 месяца назад
Really amazing , thank you Gergely Bencsik .
@g.w.s.r.jayarathna6074
@g.w.s.r.jayarathna6074 8 месяцев назад
truly excellent explanation
@mrwind7556
@mrwind7556 8 месяцев назад
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!
@cornerbloke8861
@cornerbloke8861 28 дней назад
Thank you so much for this great video!
@CurtWelch
@CurtWelch 8 месяцев назад
Great video! Thanks for making it!
@marcoscocco
@marcoscocco 6 месяцев назад
Fantastic animation man!
@uwezimmermann5427
@uwezimmermann5427 Год назад
Great explanations and a great work in Manim (I just saw your post on Discord).
@harriehausenman8623
@harriehausenman8623 Год назад
Manimazing! 🥳🥸
@machsuper
@machsuper Год назад
Brilliant video! Truly valuable information here.
@tom-hy1kn
@tom-hy1kn 9 дней назад
The best explanation I have seen by far.
@Ashnek34
@Ashnek34 9 месяцев назад
Great Explanation. Thank you.
@johnfox4691
@johnfox4691 Год назад
Superb explanation. Thank you!
@aaron9296
@aaron9296 6 месяцев назад
beautifully explained
@ProduceOrPerish
@ProduceOrPerish Год назад
Thank you for making a great video.
@ralanham76
@ralanham76 4 месяца назад
Thanks I never thought of it as a rack. It makes sense now.
@swealf-nonofficial
@swealf-nonofficial 5 месяцев назад
This is really well explained
@suheladesilva2933
@suheladesilva2933 Год назад
This was a great video, thanks a lot.
@PierreVapeur
@PierreVapeur Год назад
One of the best videos I've ever seen.
@ddburdette
@ddburdette Год назад
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!
@nixxonnor
@nixxonnor Год назад
Awesome presentation and explanation :D
@bertrc2569
@bertrc2569 Год назад
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.
@simonpelant7415
@simonpelant7415 Год назад
Absolutely perfect!
@MMARWANN007
@MMARWANN007 4 месяца назад
Wow !!! I really LOVE it ... just perfect .May God bless you!
@pedrogonzalobrito
@pedrogonzalobrito 20 дней назад
Very good video! Thank you.
@bluegrassengineer
@bluegrassengineer Год назад
Excellent explanation!
@rushaidamahbub
@rushaidamahbub 3 месяца назад
Amazing video!! This helped so much!!!
@zainoo8298
@zainoo8298 Год назад
You are so underrated and deserve more subscribers
@5eurosenelsuelo
@5eurosenelsuelo 3 месяца назад
Great video. Thanks!
@RSLT
@RSLT Год назад
Interesting! Fantastic VIDEO!
@ReaperUnreal
@ReaperUnreal Год назад
Oooohhhhhhhh, of course! This makes so much sense now.
@user-mz7ku4bz9j
@user-mz7ku4bz9j Месяц назад
Awesome video! thanks
@juanyanez2105
@juanyanez2105 3 месяца назад
This is a perfect video!
@SpectralCollective
@SpectralCollective Год назад
Great explanation!
@RM-el3gw
@RM-el3gw 7 дней назад
cant believe this is free. Thank you so much
@AlexGontmakher
@AlexGontmakher Год назад
Finally i understand how gears work!
@superfao
@superfao Год назад
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!
@TheStringKing7
@TheStringKing7 2 года назад
awesome video!
@goober650NX
@goober650NX 7 месяцев назад
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.
@douggale5962
@douggale5962 Год назад
Wow, this is extremely clear.
@big_whopper
@big_whopper Год назад
Wow! So clear! Thank you!
@qiangzhang-thingking
@qiangzhang-thingking 8 месяцев назад
the best gears tutorial in the world
@EvolventDesign
@EvolventDesign Год назад
Nice Job!
@lohikarhu734
@lohikarhu734 5 месяцев назад
best explanation of involute gear and module...even has the math to input into a program...for those with a certain 'drive' ;-)
@svdelhi
@svdelhi Год назад
Excellent Excellent & Excellent
@becool4961
@becool4961 3 месяца назад
Great video
@elmadnafamily4612
@elmadnafamily4612 Год назад
What an amazing video
@dlyscas
@dlyscas Год назад
I would love to see or read more information on how the rack cuts the gear. Thanks for the video.
@clayz1
@clayz1 Год назад
Nice animations. I swear I’m going to get this. Soon.
@Erbpyadav
@Erbpyadav Год назад
Best explanation
@two_number_nines
@two_number_nines Год назад
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 Год назад
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 Год назад
@@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 Год назад
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 Год назад
@@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)
@ThainaYu
@ThainaYu Год назад
This video is very underrated
@jimsvideos7201
@jimsvideos7201 8 месяцев назад
Brilliant.
@megalomaniac6464
@megalomaniac6464 Год назад
This is so cool.
@mitchok5555
@mitchok5555 Год назад
Great video and explanation, its a shame that i only found this because grant mentioned your video Should have alot more views
@paullinsay115
@paullinsay115 Год назад
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.
@nacheems8047
@nacheems8047 8 месяцев назад
this is sooo underrated
@ZenithWest169
@ZenithWest169 Год назад
Awesome video, only wished it covered more types or at least was part of a series.
@gergelybencsik8626
@gergelybencsik8626 Год назад
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
@omoliemi
@omoliemi Год назад
I love this video
@doronkra4304
@doronkra4304 6 месяцев назад
very good
@swamihuman9395
@swamihuman9395 Год назад
Excellent. Thx.
@francomaccaroni795
@francomaccaroni795 Год назад
soooo good video..!!
@harriehausenman8623
@harriehausenman8623 Год назад
yeeeeeess11 🤣
@michaelrtreat
@michaelrtreat Год назад
Thank you
@harriehausenman8623
@harriehausenman8623 Год назад
True Manimastery! 😊
@glz1
@glz1 Год назад
This the best Thanks
@o2807
@o2807 Год назад
ingenuity in everyday objects
@neilhendry2204
@neilhendry2204 Год назад
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?
@sto2779
@sto2779 4 месяца назад
Great explanation can you make a video about cycloidal gears and the pros and cons between the two? Thanks.
@chhaganarammali4573
@chhaganarammali4573 Год назад
Nice video
@gergelybencsik8626
@gergelybencsik8626 Год назад
Thanks :)
@user-ti3fr9fw8d
@user-ti3fr9fw8d 4 месяца назад
(standing ovation)
@PhilipSmolen
@PhilipSmolen 2 года назад
Nice
@BetaKeja
@BetaKeja Год назад
🤔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.
@user-md8sw4vj5n
@user-md8sw4vj5n 6 месяцев назад
thank you ㅠㅠ
@BasementEngineer
@BasementEngineer Год назад
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 Год назад
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 Год назад
@@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 Год назад
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!
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