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?
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?
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.
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)
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.
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?
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).
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.
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
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
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)
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.
