Planetary Gear
Planetary Gear Assembly
Aim: To create a planetary gear assembly with carrier and perform a motion analysis.
Planetary gear: The assembly consist of four components like Sun gear, Ring gear, Planetary gears and a carrier that which combines all the four planetary gears together.
This mechanism finds a main application in automobile components where they are used in automatic transmission systems were the power transmitted from the sun gear can be distributed to the carrier shaft or to the ring gear depending upon the stationary nature of the components.
Problem
Given data:
Module = 2.5
Number of teeth in ring gear = 46
Number of teeth in sun gear = 14
Input speed of the gear = 200 rpm
Number of planetary gears = 4
Solving
Formula used => M=D/Z
Where
M = Module
D = Pitch circle diameter
Z = Number of teeth
Pitch circle diameter of ring is `2.5*46 = 115 cm`
Pitch circle diameter of sun gear is `2.5*14 = 35 cm`
Pitch circle diameter of Planetary gear = `(115 – 35)/2 = 40 cm`
Number of teeth in planetary gears = `40/2.5 = 16teeth’s`
Carrier diameter = `80 - 40 + 35 = 75 cm`
Planetary gears assembly
Carrier
Complete Assembly
Graphs
Angular Velocity
CASE-1
Input sun gear
output carrier
Ring gear fixed
Angular velocity between carrier and sun gear
Angular velocity between sun gear and ring gear
CASE-2
Input Ring gear
output carrier
Sun gear fixed
Angular velocity between Ring gear and Carrier
Angular velocity between Ring gear and Sun gear
CASE - 3
Input Sun gear
output Ring gear
carrier fixed
Angular velocity between Sun gear and Ring gear
Angular velocity between Sun gear and carrier
Model and Assembly link : https://drive.google.com/drive/folders/12Opr2fAjk53DxNWBq9LNmmTSLs4UWzAh?usp=sharing
Simulation video Link
Conclusion: The complete assembly of planetary with four gears and carrier is done and they are analyzed with motion analysis to obtain angular velocities.