Planetary Gear

Aim :- Design Of Planetary Gear using Following inputs

• Ring Gear
  • Module = 2.5
  • Number of teeth = 46
• Sun Gear
  • Number of teeth = 14
• Input Speed of the Gear = 200 rpm.
• Number of planet gears = 4

Input Parametrs to run the simulation

Sl.No	Input	Output	Fixed
1	Sun Gear	Carrier	Ring Gear
2	Ring Gear	Carrier	Sun Gear
3	Sun Gear	Ring Gear	Carrier

• Input- Rotary Motion given to that part as input.
• Output- After motion analysis, Angular Velocity of that part is plotted as a graph.
• Fixed-Make that particular component as a fixed part.

Introduction :

An epicyclic gear train (also known as planetary gear) consists of two gears mounted so that the center of one gear revolves around the center of the other. A carrier connects the centers of the two gears and rotates to carry one gear, called the planet gear or planet pinion, around the other, called the sun gear or sun wheel. The planet and sun gears mesh so that their pitch circles roll without slip.

Calculation :

• The diameter of the Planet gear :

Pitch diameter, D=m*T
where m=module
T= Number of teeth
therefore, Dr=m*T = 2.5*46 = 115, and Ds=2.5*14=35
The radius of Ring gear= Diameter of the Planet gear + radius of the sun gear
Rr = Dp + Rs
Therfore,
Dp =Rr - Rs
Dp=115/2 - 35/2 = 40mm

• Number of teeths of Planet gear:
  Pitch diameter, D=m*T
  where m=module
  T= Number of teeth
  therefore, T=D/m = 40/2.5 = 16

S. No.	Gear Type	Module	Pitch Circle Diameter	No. Of Teeth
1	Sun Gear	2.5	35	14
2	Planet Gear	2.5	40	16
3	Ring Gear	2.5	115	46

3D Modelling Of Parts :

1) Sun Gear

2) Planet Gear

3) Ring Gear

4) Gear Carrier

Assembly Of Sun planetary gear Part :

Graph

• Sun_Planetary_gear_Gear_Carrier_Fixed

• Sun_Planetary_gear_Ring_Gear_Fixed

• Sun_Planetary_gear_Sun_Gear_fixed

• Comparison

Observation and Conclusion:-

""""For making the graph more smoother we can use precise contact. and frame rate - 3000""""

Case- Ring gear Fixed

• when the input is given to the sun gear and output is obtained at the carrier keeping the ring gear xed, the planet gear not only rotates about their axis but are also forced to roll on the inside of the ring gear along with the carrier as the Ring gear is fixed.

Case- Ring gear Fixed

• In the second case when the input is given to the ring gear and output is obtained from the carrier keeping the sun gear xed. The angular velocity achieved is maximum since the internal gear is big and planet gears are small comparatively so when a large gear meshes with a small gear the velocity achieved from the small gear is high because the velocity ratio is high.

Case- Gear Carrier Fixed

• The carrier is fixed and output is to be obtained from the ring gear with the input given to Sun gear, all the gears rotate about their axis. The planet gears rotate only about their axis and transmit motion from sun to the ring and since the ring gear is big in diameter the angular velocity achieved is less. The deviations that are visible in the graphs show that there are points where sliding is occurring between the gears.

Notes:- ''Please Visit the below link for animation, part file etc....."""

https://drive.google.com/drive/folders/1vlgnxJUnv3tbnqB40d-Srfoufv8AeZif?usp=sharing