I have heard that it is good practice to always chose the number of teeth of two gears to be relatively prime. This is because there can be impurities in the metal, and if you have a small part of a tooth that is harder than the rest it will erode the opposing gear (there is always some friction going on). By choosing the number of teeth to be relatively prime, the wear and tear is distributed uniformly on the gears, and thus they last longer.
Gears
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Re: Gears
#82There should be some tool to make such nice animations easily. Not just gears, but any other illustrations with moving parts with the ability to have a zoomed in detail beside the animation, etc.
You're in luck, such a tool exists! It's HTML and JavaScript. :)
I think you missed the 'easily'.
Re: Gears
#83If you're interested in the machining/making of gears there's a youtube channel where a person makes clocks and other timekeeping devices (some of ancient designs). It's fascinating to watch, and makes me want to get a metal lathe/mill someday. https://www.youtube.com/channel/UCworsKCR-Sx6R6-BnIjS2MA
Clickspring's work on the Antikithra mechanism (and the Pateron exclusive Byzantine Sundial) is particularly interesting, because not all of the movements created by gears are circular or even. The input can be purely rotational, but the output is not.
For example on the Antikithra mechanism, it has to account for the procession of the moon's orbit which causes an uneven time to complete one orbit. To properly simulate this, a pin-and-slot system is combined with an offset pivot to turn the rotation of gears into a movement that lags behind and then speeds ahead, mirroring the actual orbital period.
I worded that poorly; the video does a better job of explaining it (within the first minute), and the rest of the video shows the gear train coming together
Re: Gears
#84If someone ever makes the creation process for this type of visualization accessible to the average university professor, it could blow the lid of the digital textbook market. Most digital textbooks I've seen are basically just putting the text and images on a web page, and maybe integrating multiple choice quizzes. That's seriously under-utilizing the medium. They need to be interactive, and encourage the student to ask questions and run mini experiments.
I'm aware this would be extremely difficult; maybe impossible.
Re: Gears
#85Nicely made. And as soon as the fan appeared my cpu fan started to spin like crazy. It felt real
Re: Gears
#86How are these animations implimented?
Re: Gears
#87I have heard that it is good practice to always chose the number of teeth of two gears to be relatively prime. This is because there can be impurities in the metal, and if you have a small part of a tooth that is harder than the rest it will erode the opposing gear (there is always some friction going on). By choosing the number of teeth to be relatively prime, the wear and tear is distributed uniformly on the gears,…
By relatively prime, do you mean the largest denominator == 1? Or in other words, 15 and 22 should be relatively prime?
Re: Gears
#88I have heard that it is good practice to always chose the number of teeth of two gears to be relatively prime. This is because there can be impurities in the metal, and if you have a small part of a tooth that is harder than the rest it will erode the opposing gear (there is always some friction going on). By choosing the number of teeth to be relatively prime, the wear and tear is distributed uniformly on the gears,…
By relatively prime, do you mean the largest denominator == 1? Or in other words, 15 and 22 should be relatively prime?
Yes, relatively prime means coprime means gcd=1
Re: Gears
#89That diagram with the wrench and force increasing as the radius decreases should be linear.
Re: Gears
#90I have heard that it is good practice to always chose the number of teeth of two gears to be relatively prime. This is because there can be impurities in the metal, and if you have a small part of a tooth that is harder than the rest it will erode the opposing gear (there is always some friction going on). By choosing the number of teeth to be relatively prime, the wear and tear is distributed uniformly on the gears,…
By relatively prime, do you mean the largest denominator == 1? Or in other words, 15 and 22 should be relatively prime?
This is what is commonly meant by ‘relatively prime’, yes. Also referred to as being coprime.
Defn: a & b are coprime/ relatively prime iff GCD(a,b) = 1