Planetary Gear
OBJECTIVE
To design the planetry gear, analyse the motion and plot graph.
Given input
- Ring Gear
- Module = 2.5 (You must use the metric system in design modeler)
- Number of teeth = 46
- Sun Gear
- Number of teeth = 14
- Input Speed of the Gear = 200 rpm.
- Number of planet gears = 4
the module for Sun gear & Planet gear is same as Ring gear.
To find the no. of teeth in Planet gear use the following formula
| R | Number of teeth in ring gear |
| S | Number of teeth in sun (middle) gear |
| P | Number of teeth in planet gears |
The first constraint for a planetary gear to work out is that all teeth have the same pitch, or tooth spacing. This ensures that the teeth mesh.
The second constraint is:
R = 2 × P + S
thus the no. of teeth = 16
To find the pitch dia of Planet gear use the following formula
Module = pitch circle dia/no. of teeth
thus the pitch dia = 40
Now we have the following input for our gear design
pitch dia module no. of teeth
Sun gear 35 2.5 14
Ring gear 115 2.5 46
Planet gear 40 2.5 16
As for the design
Take pressure angle = 20 degree
And face width = 10mm
Design of gear assembly with carrier
Motion analysis Satup
First step
Add motor on the gear
Second step
Add contact between ring gear and planet gear
Third step
add contact between planet gear and sun gear
Fourth step
add contact between planet gear and carrier
run study...
Input for study
| Sl.No | Input | Output | Fixed |
| 1 | Sun Gear | Carrier | Ring Gear |
| 2 | Ring Gear | Carrier | Sun Gear |
| 3 | Sun Gear | Ring Gear | Carrier |
speed of gear 200 RPM
Result 1
plot of angular velocity of carrier against time when ring gear fix
Result 2
plot of angular velocity of carrier against time when sun gear fix
Result 3
plot of angular velocity of carrier against time when carrier fix
Conclusion
1. In result 1 we fix the ring gear and the motion is given to the sun gear due to that motion sun gear force to move the planet gear and carrier the plot show the angular velocity of carrier due to the motion.
2. In result 2 we fix the sun gear and the motion is given to ring gear due to that motion ring gear force to move the planet gear and carrier the plot show the angular velocity of carrier due to the motion.
3. In result 3 we fix the carrier due to this the planetry gear is also fix and the motion is given to the sun gear it does not transfer to the ring gear so no any movement seen in the plot. their is no any velocity gain in the carrier.