Tutorial: How to Derive the Formula for the Planetary Mechanism Gear Ratio

Ғылым және технология

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.

Пікірлер: 82

  • @avivzaberko5217
    @avivzaberko52175 жыл бұрын

    Awesome video, thank you so much! There aren't many channels out there who post good and clear tutorials about the mathematics behind mechanisms.

  • @user-ds7dx5dh9j
    @user-ds7dx5dh9j4 жыл бұрын

    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.

  • @juancarlossaavedra4505
    @juancarlossaavedra45054 жыл бұрын

    A good explanation of a very interesting mechanism.

  • @johnbrown3013
    @johnbrown30135 жыл бұрын

    Great explanation - thanks a lot.

  • @ricardobernalc6170
    @ricardobernalc61704 жыл бұрын

    Great Explanation, many thanks

  • @alezacarias4131
    @alezacarias4131 Жыл бұрын

    The best explanation i found, thanks you!

  • @DavidGarcia-di4jn
    @DavidGarcia-di4jn6 жыл бұрын

    excellent videos learning a lot

  • @LuxBacelo
    @LuxBacelo5 жыл бұрын

    Learning with GLaDOS. Awesome video!

  • @phillipelwood5760
    @phillipelwood57604 жыл бұрын

    nice graphics and great explanation.

  • @Asifur_Rahman
    @Asifur_Rahman4 жыл бұрын

    Thanks for those Awesome Videos

  • @hakankalender9034
    @hakankalender90344 жыл бұрын

    Super explanation!! Thank you very much..

  • @ompanchal1546
    @ompanchal1546 Жыл бұрын

    Great explanation 👌

  • @danielcalvo9254
    @danielcalvo92543 жыл бұрын

    Me ha gustado mucho la explicación. Lo he comprendido bien.

  • @leonbecker6140
    @leonbecker61402 жыл бұрын

    Great explanation

  • @arturoaramburo9365
    @arturoaramburo93654 жыл бұрын

    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?

  • @albertousman7624
    @albertousman76246 жыл бұрын

    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.

  • @yuwan5394
    @yuwan53944 жыл бұрын

    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.

  • @youssefbenhachem993
    @youssefbenhachem9935 жыл бұрын

    Oh ! What a fantastiiiic explanation !! Thanks so much

  • @jagdishsingh8540

    @jagdishsingh8540

    4 жыл бұрын

    Ko ko ko ko ko lol Pp pop pop PP

  • @sarahkaveh7739
    @sarahkaveh77393 жыл бұрын

    Best ever .KZread needs more videos like that.

  • @user-bc6cs7xe9q
    @user-bc6cs7xe9q3 жыл бұрын

    Hello..Are there small sizes, the Care Box is used in wind turbines .. Can it give the same work? Thank you very much ..

  • @makerEmber
    @makerEmber Жыл бұрын

    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?

  • @janudajayasekara5591
    @janudajayasekara5591 Жыл бұрын

    Thank you so much 💖

  • @marutiuppar2335
    @marutiuppar23355 жыл бұрын

    Nice explain

  • @AJ-et3vf
    @AJ-et3vf5 ай бұрын

    Great video. Thank you!

  • @xobieu
    @xobieu5 ай бұрын

    this is brilliant

  • @MrChachacha64
    @MrChachacha64 Жыл бұрын

    thanx. good video

  • @muchamadshofiudin7344
    @muchamadshofiudin73444 жыл бұрын

    I want to ask? How about that, if internal helix planetary gear with 3 of planet?

  • @user-bc6cs7xe9q
    @user-bc6cs7xe9q3 жыл бұрын

    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

  • @sivaprabha8681
    @sivaprabha86812 жыл бұрын

    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.

  • @mba2ceo
    @mba2ceo2 жыл бұрын

    so carry spins 1/6 of the SUN rpm ?

  • @Decalto35
    @Decalto353 жыл бұрын

    does the diameter refer to pitch diameter

  • @josefmarzano3914
    @josefmarzano39144 жыл бұрын

    muito bom.

  • @muhah95
    @muhah953 жыл бұрын

    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?

  • @varunskumar14
    @varunskumar146 жыл бұрын

    Any references for the same? For further reading. Please do suggest.

  • @kelumo7981

    @kelumo7981

    6 жыл бұрын

    Theory of Machines by Khurmi

  • @hugo3ize
    @hugo3ize5 жыл бұрын

    Exelente

  • @jaiandjaimotors5990
    @jaiandjaimotors59902 жыл бұрын

    HOW MUCH TORQUE WILL BE INCREASE ? IN GENERAL

  • @joandar1
    @joandar16 жыл бұрын

    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)

  • @adamkorekach9936

    @adamkorekach9936

    5 жыл бұрын

    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.

  • @bobbailey7024

    @bobbailey7024

    5 жыл бұрын

    yes. It's referred to as the annular gear in the UK.

  • 5 жыл бұрын

    'Annulus' is Latin for 'ring': translate.google.com/#view=home&op=translate&sl=la&tl=en&text=annulus

  • @thailander5572
    @thailander55723 жыл бұрын

    the ratio = 1+R/S can this formula be used in any circumstance, no matter which one gear out of three is stationary?

  • @OTVinta3d

    @OTVinta3d

    3 жыл бұрын

    No, it is only applicable to this specific scenario.

  • @justinberdell7517

    @justinberdell7517

    2 жыл бұрын

    I had the same question. Thank you all for clarifying. Great tutorial! Exactly what I was looking for!

  • @BrianB14471
    @BrianB144716 жыл бұрын

    Warning: Machine voice. The bane of KZread.

  • @apocalypticentity7012

    @apocalypticentity7012

    Ай бұрын

    Irrespective, the information is still good.

  • @shubhamsoni367
    @shubhamsoni3675 жыл бұрын

    Fine

  • @user-hp4rn9yl2d
    @user-hp4rn9yl2d4 ай бұрын

    Remarkable

  • @ScabbyCrab
    @ScabbyCrab4 жыл бұрын

    Can we have a tutorial on how to understand this tutorial

  • @mekanikaengineerikatv
    @mekanikaengineerikatvАй бұрын

    A very interesting explanation, Now your calculation is only true if the ring is static!

  • @poornachandrata9298
    @poornachandrata92986 жыл бұрын

    Super

  • @nigelpallatt
    @nigelpallatt4 жыл бұрын

    Just watched because it was lovely to watch, though I did not understand one bit of it.

  • @OKFrax-ys2op

    @OKFrax-ys2op

    3 жыл бұрын

    You’re hired

  • @helmarfeberwee6361
    @helmarfeberwee63612 жыл бұрын

    How do I determine the amount of teeth of the planet gears?

  • @OTVinta3d

    @OTVinta3d

    2 жыл бұрын

    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.

  • @jamesmatheson9624
    @jamesmatheson96242 жыл бұрын

    A planetary gear calculation is ring divided by sun So. 46 ring.9sun=5.1

  • @TrFusion
    @TrFusion6 ай бұрын

    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).

  • @jamesmatheson5813
    @jamesmatheson58135 жыл бұрын

    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

  • @mba2ceo
    @mba2ceo2 жыл бұрын

    What is "i" ? the mechanical advantage ?

  • @ameerabbas1996

    @ameerabbas1996

    2 жыл бұрын

    Gear ratio

  • @DeepakModa
    @DeepakModa4 жыл бұрын

    OSM

  • @derrickdry9770
    @derrickdry97705 жыл бұрын

    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

  • @shaq__2400

    @shaq__2400

    5 жыл бұрын

    derrick dry how does this work?

  • @mundymorningreport3137

    @mundymorningreport3137

    5 жыл бұрын

    @@shaq__2400 Simple math substitution. Change the 1 to zs/zs...

  • @lemmetellyousomething679

    @lemmetellyousomething679

    4 жыл бұрын

    Or you can 12+60=72 72-48=24 24+12=36 36/6=6 that's it! Easy pesy

  • @brunodragas8661

    @brunodragas8661

    Жыл бұрын

    ​@@shaq__2400 it is basically different form of the formula used in video above

  • @NicoPlaying
    @NicoPlaying5 жыл бұрын

    desafortunadamente la traducción al español es desastrosa confusa ininteligible

  • @jjmanic8783

    @jjmanic8783

    2 ай бұрын

    No te preocupes, es igual en Ingles, no es mucho mas mejor... buscas otra video

  • @BroughshaneHighPerf
    @BroughshaneHighPerf5 жыл бұрын

    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)

  • @shaq__2400

    @shaq__2400

    5 жыл бұрын

    Andrew Semple why do you add the ring and sun teeth?

  • @QuanNguyen-CAEengineer
    @QuanNguyen-CAEengineer6 жыл бұрын

    sugoi ne.

  • @hamzaouamrouche6272
    @hamzaouamrouche62725 жыл бұрын

    v 2v Vc Vs thank you!

  • @neilw2O
    @neilw2O5 жыл бұрын

    Speak to me o chocolate lips.

  • @austinwadden6846
    @austinwadden68463 жыл бұрын

    I’m 14 and you just confused the life out of ne

  • @74773
    @747732 жыл бұрын

    Venus 😂

  • @2010Edgars
    @2010Edgars5 жыл бұрын

    Ohh, no, this voice. Please change! :-)

  • @alexandrechatty5439
    @alexandrechatty54395 жыл бұрын

    I give a thumb down each time I hear a TTS.

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