Tutorial: How to Derive the Formula for the Planetary Mechanism Gear Ratio
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- Опубликовано: 28 июл 2024
- The gear ratio formula for two meshing gears is simple and intuitive, while the gear ratio formula for the planetary mechanism is not. In this tutorial, we will show you an original and easy-to-understand approach to deriving this formula.
For more tutorials. as well as various 3D-printable mechanisms, visit www.otvinta.com. 
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Awesome video, thank you so much!
There aren't many channels out there who post good and clear tutorials about the mathematics behind mechanisms.
Thank you very much! This is the clearest explanation that tells how the gear ratio is derived. It's really helpful for me to understand my textbook.
A good explanation of a very interesting mechanism.
Great explanation - thanks a lot.
Learning with GLaDOS. Awesome video!
The best explanation i found, thanks you!
excellent videos learning a lot
Great Explanation, many thanks
Me ha gustado mucho la explicación. Lo he comprendido bien.
Beautifully Emplaned!!
These 2 concluded formulas to determine the ratio, apply well when the input is the sun and the output is the carrier as mentioned in the video.
What about a scenario in which the input is the sun with the carrier arrested and the output is the ring?
How can that ratio be determined?
Super explanation!! Thank you very much..
nice graphics and great explanation.
Thanks for those
Awesome Videos
Me.encanto.
Entiendo el inglés y la explicación.
Desde ya agradezco , es muy útil, interesante .
Pero sería conveniente que estuviera los subtítulos, por lo menos en castellano.
Muchos que se beneficiarían de esta información, y no tienen PC, deben verlo por el celular.
Yo, de mi parte estoy agradecido por estos tips.
Atte.
Alberto.
Oh ! What a fantastiiiic explanation !! Thanks so much
Ko ko ko ko ko lol Pp pop pop PP
can you derive a simple relationship for the gear ratio expressed as a function of
number of teeth in the sun and ring gears of an epicyclic (or planetary) gear
train.
Great explanation
I want to ask? How about that, if internal helix planetary gear with 3 of planet?
Great explanation 👌
Perfect instructions!!! I got full understand for my planetary gear system. And I have one question for compounnd planetary gear such that one tooth of planetary gear meshes with sun gear and other tooth meshes with ring gear. From googling, I understand both tabular method and algebraic method can be used. But I couldn't solve gear ratio formula for compound planetary gear using your method ... Vc and zero velocity at the ring contact point and instantaneous velocity at the sun contact point and so on. Please could you give me some directions?
Best ever .RUclips needs more videos like that.
Hello..Are there small sizes, the Care Box is used in wind turbines .. Can it give the same work? Thank you very much ..
so carry spins 1/6 of the SUN rpm ?
Thanks for a clear explanatin.
Can any body explain, if the sun gear has 30 teeth, panatary has 15 teath, and ring has 90 teath what will be the RPM of the carrier if the sun gear is rotated at 1000 RPM, under the following conditions.
Sun gear is the driver and carrier shaft is the driven connected to a load.
1. The ring gear is held stationary.
2. The ring gear is free to rotate, and the carrier shaft is loaded.
Nice explain
does the diameter refer to pitch diameter
Help is possible..I need a care box like the one used in wind turbines..convert from slow speed to high speed ... it is connected with a head of electricity generation.It produces 1000 watts .... thank you very much ... possible model
HOW MUCH TORQUE WILL BE INCREASE ? IN GENERAL
Any references for the same? For further reading. Please do suggest.
Theory of Machines by Khurmi
Thank you so much 💖
thanx. good video
muito bom.
this is brilliant
I was falling into the mistake of thinking it was as simple as the ratio of the sun gear tooth No. and the ring gear tooth No.
I can now see why I was always wrong until now! Great educational tutorial!!!
By the way I have also heard the ring gear referred to as an Annulus, has anyone else heard of this or used this term! Just curious.
John, Australia.
en.wikipedia.org/wiki/Annulus_(mathematics)
joandar1
I wonder if the ring gear can also be called the “orbit” gear.
That would make sense as well, as the planets are “in orbit” around the sun.
yes. It's referred to as the annular gear in the UK.
'Annulus' is Latin for 'ring': translate.google.com/#view=home&op=translate&sl=la&tl=en&text=annulus
I want to ask
For example
Sun 12 teeth
Planet 24 teeth
Ring 60 teeth
If the sun gear turns 360° 12 teeth, the planet gear will turn 12 teeth 180°
If the planet gear turns 12 teeth 180°, the ring gear will turn 12 teeth 72°
But if we calculate this by using this formula we get 360÷((60/12)+1)=60°
How it can be? (The formula is true, i dont say it is wrong) but What is my mistake?
Just watched because it was lovely to watch, though I did not understand one bit of it.
You’re hired
Warning: Machine voice. The bane of RUclips.
Irrespective, the information is still good.
the ratio = 1+R/S can this formula be used in any circumstance, no matter which one gear out of three is stationary?
No, it is only applicable to this specific scenario.
I had the same question. Thank you all for clarifying. Great tutorial! Exactly what I was looking for!
Exelente
Can we have a tutorial on how to understand this tutorial
How do I determine the amount of teeth of the planet gears?
You pick the number of teeth of all three types of gears arbitrarily based on the desired gear ratio or pure aesthetics. However they are subject to restrictions, the main one being R = 2 * P + S. Also, the number of teeth in the sun and ring gears must be divisible by the number of planet gears. Typically, there are 3 planet gears, but sometimes there are 2, 4 or more. The 60/24/12 combination used in our example will work with 2, 3, or 4 planet gears. However, a 60/20/20 combination will work with 2 or 4 planet gears but won't work with 3, as 20 is not divisible by 3.
A planetary gear calculation is ring divided by sun
So.
46 ring.9sun=5.1
Great video. Thank you!
Fine
A very interesting explanation, Now your calculation is only true if the ring is static!
What is "i" ? the mechanical advantage ?
Gear ratio
ring /planet = number , the sun / by that number = radius for example Ring100, Planet 10, Sun 100. So 100/ 10 = 10 , and 100 / 10 = 10 meaning ring moves once and the sun moves 10 times 1:10
desafortunadamente la traducción al español es desastrosa confusa ininteligible
No te preocupes, es igual en Ingles, no es mucho mas mejor... buscas otra video
Super
There are three main configurations of planetary gear systems: 1:planetary, 2: solar, 3:star.
1: Planetary type (internal gear fixed, sun gear as drive shaft, planetary carrier as output shaft):
Gear ratio = number of teeth of sun gear / number of teeth of internal gear
Example: For 12 teeth sun gear and 60 teeth internal gear, gear ratio = 12 / 60 = 1/5
2: Solar type (sun gear fixed, internal gear as drive shaft, planetary carrier as output shaft):
Gear ratio = number of teeth on internal gear / number of teeth on sun gear
Example: For 12 teeth sun gear and 60 teeth internal gear, gear ratio = 60 / 12 = 5
3: Star type (planetary carrier fixed, sun gear as drive shaft, internal gear as output shaft):
Gear ratio = (number of teeth on internal gear / number of teeth on sun gear) + 1
Example: For 12 teeth sun gear and 60 teeth internal gear, gear ratio = 60 / 12 + 1 = 6
Therefore the gear ratio is 1:6 in the case of a *star type (fixed planetary carrier, sun gear drive wheel, internal gear output shaft).
Or you can add the teeth of the ring gear and the sun gear and divide by the teeth of the sun gear. 60+12/12=6. Hmmm
derrick dry how does this work?
@@shaq__2400 Simple math substitution. Change the 1 to zs/zs...
Or you can
12+60=72
72-48=24
24+12=36
36/6=6 that's it! Easy pesy
@@shaq__2400 it is basically different form of the formula used in video above
Remarkable
Just count the teeth --> carrier as input = ring teeth/planet teeth. Carrier as output = planet teeth/sun teeth. Carrier stationary = sun teeth/ring teeth (planetry teeth value = ring teeth + sun teeth. no need to actually count teeth on planet)
Andrew Semple why do you add the ring and sun teeth?
OSM
sugoi ne.
v 2v Vc Vs thank you!
I’m 14 and you just confused the life out of ne
Speak to me o chocolate lips.
Venus 😂
I give a thumb down each time I hear a TTS.
Ohh, no, this voice. Please change! :-)