Screw/screw gearing
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- เผยแพร่เมื่อ 4 ก.ค. 2024
- Exploring gears with different kinds of motion.
You can buy a copy of the screw/screw gearing model from Shapeways at shpws.me/Ts69
You can also try printing out your own. You can download the files from www.printables.com/model/5191...
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This seems like a solution that has not found its problem yet.
That's often how art and (pure) mathematics work.
@@henryseg I have a folder on my computer titled "Solutions in search of problems." I think this sort of engineering is good practice and frees your brain up for lateral thinking once the real problems come along. One of the files in this folder was a spherical gear, which I never figured out but these smarties did: th-cam.com/video/hhDdfiRCQS4/w-d-xo.html What would this be an example of? Rotation-rotation-rotation?
@@digitaluddite I have a folder on my computer like that, but it has nothing in it! It is a solution to a problem of solutions in search of problems!
@@henryseg Then I think my art has yet to find its problem.
It's perfect for making 45 degree holes in a production line. One piston, and two drill tips. Also, for a vault lock.
In kinematics, when you choose a different part of the mechanism for the 'grounded' part (you called it the frame), it is called a kinematic inversion.
As a programmer inverse kinematics are really fucking cool and blew my mind when I learned how to... frame... the motion
This reminds me of a modification made to the Archimedes screw for moving grain, where the screw stays stationary and the housing spins
@@PonyCraft I'm a 3D Animator and we use Inverse Kinematics a lot when animating arms and legs
@@andrewbailey7999 I saw that too. Didn't that idea proove to be a great deal more efficient?
@@andrewbailey7999 Tom Scott has a video called Mr Olds' Remarkable Elevator that highlights this idea. Pretty awesome stuff!
The "two ordinary racks" from 5:45 remind me of a safety feature in railway rolling stock, where they add large rack-like panels to stop relative motion along a vertical axis in colliding vehicles. That prevents a situation where one vehicle's frame could slide on top of the other frame and crush everything in the passengers' space.
Ive seen these on thise little cargo wagon deal, basically a skin made of teeth that fit to the cart, then you could lever the teeth up to keep it rolling.
@@PonyCraft Not quite sure we're talking about the same thing there...
Oh, anti climbers! Aren't they for preventing telescoping?
@@PonyCraft Write a horror story in only four words:
"skin made of teeth"
@@falkland_pinguin I meant to say a skid with teeth on it so inertia won't send the load flying
I love 'periodic tables' like this. Some are just done stupidly, but when you decompose the the space into orthogonal attributes, you get an amazing pointer to possibly undiscovered items.
Your table here shows this ( labeling "screw" with an additional "rotate+translate" label adds a bit of insight )
But it also shows that you have not yet identified all the axes. Look at the rotate/rotate box where you have at least 3 different mechanisms that fit into the same grid location.
I think the missing axis ( or axes ?) is angle between the two planes of motion (??) with values 'planar', 'bent', 'yawed' and 'pitched''
If you added another 3 layers to this grid, and added the 'useless configurations ( like your locked up racks ) you'll possibly get a complete set of mechanisms.
Color coding 'part A' and 'Part B' might make things clearer.
The 'plane of engagement' is another possible axis.
Some missing items:
in rotate/rotate: you have pane of motion values 'planar', bent and pitched, but are missing yawed
the spur/screw item engages on the 'bent 90 degrees' plane, but could engage at 45 degrees bent ( would lock up) or planar ( the spur would have rack holes and the screw would be lozenge shaped)
the 3 item screw is probably two items together with left and right chirality somehow, which hints at another axis
in rotate/translate:
there is a missing rack/pinion where the 'rack' translates up out of the page, and one where it translates away from the pinion
in rotate/screw:
the handle of the corkscrew could emerge from the screen and twist
the handle axis could be an axle aligned top/bottom of screen and used to roll the cork remover to the right
I am probably missing some, and I feel I have mistakes above because I probably haven't characterized all the orthogonal attributes correctly.
interesting idea, although in practice combinations of any of these and bevel gears can change the axis we're working around. however, a few additions just for thought:
a spiral gear would be a good example of a rack and pinion-esque gearing that pushes the rack away from the gear
a rack and pinion moving up out of the page could be filled by a worm gear moving a rack, which is yet another way that the adjustable wrench can fit into the diagram, if you look at it from above
constant gear ratio, whether or not it can be worked infinitely, and different possible frames of reference are all other possible things to explore, I feel this is a discussion that can very easily get very complex
Do you mind sending me a word documents of this table? 😅 Just so I see if I truly understood what you meant.
These tables brush up against abstract maths that I really wish I could sit down and learn.
The translate-translate gear is *almost* a pair of opposed mechanum wheels, if you were to bend one of the translate gears around so that it loops back on itself. The action of the rollers is as if the floor had teeth at 45 degrees to the plane of rotation.
This tickles a part of my brain that not many things do. Nice work.
i dont really think i've had much of a previous interest in gears, but the way you explain everything with examples in a calm voice kept me engaged the entire time lol. love it!
Translate-translate gear is actually used in garage door locks, it has irregular teeth on both key and lock if they match it slides freely, if not it binds.
I can't find that. I only see ordinary pin-tumbler locks
@@MushookieMan It was used a lot in the soviet union, google for 'реечный замок'
Henry, have you considered attempting to build a pliable/flexible version of that mechanism, such that the helical racks conjoined to form a figure eight?
Or a moebius strip each?
I don't think that could work. As one piece, the rotation and translation when it crosses itself will be opposed. You would need a spur gear between.
@@punpundit5590 I'm definitely not an expert on this but my intuition tells me that if they are both Möbius strips then there should be no need for that intermediate spur
The Museum Of Science And Industry in Chicago has a staircase of mechanical movements. I have been fascinated by that staircase since I was a child. I am glad to see people appreciating these topics again...
It is very refreshing to see new engineering from people like you. Oh, the wonders of computer aided drafting and 3-D printing.
I'm always amazed at what you come up with
I really sat here and watched a 7 minute explanation of gear mechanisms, with zero prior interest in the topic. Your videos are great!
These models are so beautiful!
Every engineer watching this is letting out a satisfied sigh right now.
Wow, I'm impressed by the TH-cam algorithm. I had been googling for a helical gear to support at idea level the design of a track for simultaneous translating and rotating camera motion, and that happens to match your last design if we put a regular gear in place of the other helix.
the algorithm has blessed me with another channel that displays interesting and intriguing items
Insane levels of thinking involved as always!!
Wow!!!! This was such a beautiful and genius video!!!! Thank you!!!
Great work! That didn't feel like 7 minutes, the time passed very quickly. Great video very informative, glad the algorithm brought me here.
As for the tranlation/translation mechanism in the real world - there are locks with the key in the form of a rod with the inclined grooves and two parallel latches with the same type of grooves in the lock itself. Pushing the key in between the latches you make them move and unlock the door. In our country such locks have been used in garage doors mainly some time ago but not any more as I can tell
Yep, very popular type of locks in Russia back in the day
I have no idea what i'm going to do with this information, but i enjoyed this video nonetheless. You have a pleasant voice and way of explaining things.
Thank you for the video, and I wish you a good rest of your day!
Lovely as always Mr. Segerman!
Mesmerizing and fascinating. Subbed, sir.
There was a video circulating a while back showing a door latch that uses the translate translate arrangement. I can't find the original video on its own, but the Maker's Muse youtube channel has a video about/including it you can find searching "Rack Lock". Apparently they are known as реечный замок and we're fairly common in Russia. There are quite a few videos in Russian of commercial реечный замок but most of them show more enclosed factory made units, I haven't found any that show the mechanism as well as the clip in the Maker's Muse video.
this is one of the best videos ive seen. you are awesome.
Babe wake up, new Henry Sagerman video just dropped
That looks very satisfying
Deserves a Thumbs Up and a comment. Nice work.
The last design is so marvelous!! I have no idea sticks and gears mixed up and do well.
Damn that was really enjoyable to watch 😄 Very clear and concise explaining and awesome visualisation with the Models and real-life examples in tools! I subscribe right away ❤
Fascinating presentation -- informative and mesmerizing!
I know there are locks that use a design similar to the borromean racks, but they only use two pieces and a frame. You push one of the racks into the key hole and the corresponding motion on the other rack lifts the latch on the door. The teeth on the racks are irregularly spaced so each key is unique.
I have been thinking about a mechanism that could move like this, and now you have bring it to reality
How about the lock mechanism from this video: th-cam.com/video/oeKN7Hx8HVI/w-d-xo.html as an example of a translate/translate mechanism. The door is the "frame" part, and the key and the locking bar are the parts moving relative to the frame.
That looks like an example - thank you!
@@henryseg glad to help
Industrial grippers have translate/ translate mechanisms. An air cylinder moves 90 degrees to two jaws causing them to open or close some of Schunk's grippers are made this way.
Ah damn you got there before me!
Very impressive, congratulations!
2:10 the translate gear thingy - I found a similar thing the other day when fixing a pair of binoculars that has this zoom thing and you control it with an arm around one of the eye pieces. A thin piece of metal moves along and the same motion is replicated on the other eye piece. It’s so clever, I’d never come across it before and was why I bought the broken binos from the charity shop.
the puzzle potential is exciting!
This is epic bro you are a Genius it seems.
As always, well done, Sir!
I love the idea of someone randomly coming across this & suddenly understanding (Eureka!!!) what they need to do in order to get the idea that they've been mulling over to work.
Nice work Mr. Segerman
정말이지 놀라운 3d 프린팅 공예실력이지 아니할수가 없지 아니한 그런 영상인거 같다 태엽의 간격이 정말이지 완벽히 일치하고 설계를 제대로 하여 매끄럽게 태엽이 서로 상호작용 하면서 돌아가는 모습이 정말이지 아름답다.
the first clip makes me happy
I like how you can explore diferente way, out of the box... it's very interesting....
Beautiful, original work.
Beautiful gears. it's pretty wild to think how many unimagined mechanisms could be out there. Seems like the variations could be infinite. I imagine interlocking sets of lattices which interact together in beautiful but horrifying complexity
There's a purity to the physical representation of relationships between objects and systems, vs proxies through abstractions
So satisfying! Do you think you could make a version of that design that is in the shape of an infinity symbol?
or 2 mobius loops with gears!
im not too savy on mechanical engineering despite my fascination with them, but this was a fantastic breakdown of these sorts of mechanisms.
In this age of information technology, I never expected to be surprised by good ol' mechanics!
Brilliant video.
It would be interesting to see the strength and benefits between each of these gears to see which would be better used for certain scenarios.
Well explained, but still almost like magic. Thanks for sharing 👍🏼
Bro that is the most absurd way to present pasta I have to give props to that.
This is delightful, thanks for the video
The Boreman racks remind me of a 50's mechanical naval firing computer. Looks like a coordinate system
This is the time when learning becomes an adventure again. Let us not forget the AMOUNT of equations, differential equations, that these things have. Inverse kinematics is rigid body mechanics hence classical symplectic groups.
The amount of knowledge required for these is fascinating. Lagrange equations, Lagrange Kane equations, Hamilton equations, Hamilton Jacobi principle, Poisson Brackets and Lagrange Brackets. Classical mechanics never stops being fascinating.
These videos makes the analysis explicit and understandable.
ngl that looks like a steampunk biblically accurate angel
It is really hard to find real life scenarios that can implimet this type of gear.
This tickles my brain in all the right ways
Triple-helix was awesome
your are just so smart. thank you for making us all smarter than before
thats creativity put into function,,really awesome!!!
I can imagine the screw/screw mechanism being used as a regulatory mechanism to ensure 2 angled planes move in a rocking motion at a locked speed ratio and only one of them is powered. There is probably a much simpler way of doing it too.
I remember seeing a video of a weird lock that was a rack and rack mechanism, the key was one rack, with irregular tooth spacing at a 45 degree angle and the lock had a bolt with the complimentary tooth spacing. I was unable to find the original, but Maker's Muse did a video on it in 2019.
Couldn't a "screw - screw" combo be as simple as a screw and the the nut or hole it is threaded into? The perpendicular screw - screw model you made is pretty cool.
That would only have two parts, not three. You need a frame part and two gear parts that screw into the frame.
You can make really cool artistic elevators with these mechanisms
There was a Russian lock design for keyed gates that was a translate/translate gear set. The key was one rack and the latch was the other rack and the door was the frame.
6:41 "I imagine that could be a fun research project" that could probably be a masters thesis
Corkscrew is a mix of screw and rack and pinion. Screw motion moves the rack, that rotates the pinion. Theer is no direct interaction of screw and pinion.
Thanks for making a neat thing that’s neat
Mans voice is like Qui Gon Gin without the urgency. Just the calm.
The screw-screw contraption is like most advanced mathematics. There maybe some practical application in the future somewhere but if we are honest we must admit that we mostly do it for the fun.
You could make them elastic and turn them into a circle like screw and screw forever. Maybe the circle is big but I think it would work when you use a few more frames arranged in a tetraeder way and the circles will rotate themselves around their centerline instead of them rotating 90° relative to the frame in the center and crash into each other. :)
Wow, another great video, thanks. 😀
I would imagine the optimal shape would still be close to the circle involute, but then perhaps bevelled following another involute perpendicular to it? Not really sure. You're right that would make an interesting project particularly if this mechanism saw an industrial application.
So cool! Thanks for sharing
I dont know how I ened up on a video about gears and screws...but good stuff. Well deserved like.
Gears are so cool and interesting
Mind blown! Thank you!
They look like fried sweet twists but they're actually marvels of engineering
This reminds me of Polhems Mechanical Alphabeth, a 17th century effort of making a library of mechanisms to translate every motion to every other motion. Although I don't think he saw "screw" as a motion.
I’d be super surprised if I ever see one in a real world situation. Really neat though, I appreciate the brain power behind it 👍
That's very cool. Thank you
There is a kind of a metal lathe 3-jaw chuck which uses similar racks to sunchronise its jaws.
If we think about rotation of a verrry big wheel around a very faraway axis, then in the limit we get translation. So the rack and pinion is a limit of the gear-gear link (with either the parallel or intersecting axes). At which point I thought of the rack and rack, which of course you finally got around to at 5:45.
I was going to say this as well!
this is so cool!
A related excerpt from HG Wells, “The War of the Worlds”: “And of their appliances, perhaps nothing is more wonderful to a man than the curious fact that what is the dominant feature of almost all human devices in mechanism is absent-the wheel is absent; among all the things they brought to earth there is no trace or suggestion of their use of wheels. Almost all the joints of the machinery present a complicated system of sliding parts moving over small but beautifully curved friction bearings….”
thanks very interesting gear arrangement
satisfying, deserves a sub
OMG HOLY SHIT, GOD OF GRARS, OMG, THAT FIRST MOVEMENT WAS SMOOTH AND PRECISELY MEASURED AND SHAPED, WITH A MATHEMATICAL SOLUTION FOR ITS MATERIAL AND MEASUREMENTS
This one’s a real beaut. And it’s fun to compare with the “ancient”, discolored triple-gears from the distant past. 😉
With this, You can open wine bottle behind the corner🎉
Biblically accurate gear mechanism
Spectacular!
I wonder what next level genius is going to do with this.
You are a genius!
I love these
My brain LOVES this!
Here's a guess:
If you take a typical leadscrew, but call the "screw-shaped" (rotational) part "frame" what previously was the "frame" becomes a rotational part, and what was the nut (translational) part becomes a screw (movement) part.
Alternatively,
If we define the part that was the nut (translational) part to be the "frame", the screw-shaped part becomes a screw-movement part, and what was the "frame" becomes a translational part.
These are all equivalent functionally, but what we call the frame changes our perspective, and thus the relative motion of the other parts becomes different.
I think that it's interesting that this means that when we change the "perspective", it changes what classification can be applied to the system. For example, if we take a typical set of bevel gears, and name one gear the "frame", the frame becomes a rotational part, but the other bevel gear becomes something entirely new that moves in two rotational axis. The system still has one degree of freedom, but the part moves in multiple different ways (this is because the axis of rotation changes throughout the cycle, namely, the axis of rotation rotates along with the part previously called a frame.)
This concept, and the fact that "screw" motion appears to be a combination of rotational and translational motion, leads me to believe that this would generalize to a wide variety of different types of motion, but perhaps we can classify those motions as compositions of simpler types of motion. Some combinations (like in screw motion) might be commutative, but others (like the mentioned double rotation) might not. I wonder what relationships these types of motion might have? Could we come up with a useful notation for how mechanical machines work as a result?
Ooh, you noticed that property of changing perspectives. Shall I point out that if you change your perspective to that of the worm gear on the spanner, the jaw becomes screw movement, and the handle becomes rotational movement?
It's basically an example of an applied leadscrew though, (but using a rack instead of a nut) so I guess it's not surprising it has the same properties.