Motion analysis of an Epicyclic Gear System using Solidworks
MOTION ANALYSIS OF AN EPICYCLIC GEAR SYSTEM USING SOLIDWORKS
AIM: To perform a motion analysis on an Epicyclic Gear System using Solidworks
OBJECTIVES:
- To model and assemble the parts of an epicyclic gear system
- To perform simulations for the following conditions
Sl.No Input Output Fixed 1 Sun Gear Carrier Ring Gear 2 Ring Gear Carrier Sun Gear 3 Sun Gear Ring Gear Carrier - Plot graphs for angular velocity for each of the cases
INTRODUCTION
An Epicyclic gear or planetary gear system is a system consisting of one or more outer gears, or planet gears, revolving about a central, or sun gear. Typically, the planet gears are mounted on a movable arm or carrier which itself may rotate relative to the sun gear. Epicyclic gearing systems also incorporate the use of an outer ring gear or annulus, which meshes with the planet gears.Epicyclic means one gear revolving upon and around another. The design involves planet and sun gears as one orbits the other like a planet around the sun.
APPLICATIONS
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These are used as the peripheral gear in lathes, hoists, pulley blocks, wrist watches etc.
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They are popular for automatic transmissions in automobiles.
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They are also used in bicycles for controlling the power of pedaling automatically or manually.
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They are also used as power trains between internal combustion engine and electric motors
COMPONENTS USED + QUANTITY
- Carrier - 1
- Sun Gear - 1
- Planet Gear - 4
- Ring Gear - 1
CALCULATIONS
DIAMETER OF PLANETARY GEAR Dp
Rr = Dp + Rs
where
Rr=radius of Ring gear
Dp=Diameter of the Planet gear
Rs= Radius of the sun gear
Dp =Rr - Rs
Dp=115/2 - 35/2 = 40mm
Number of teeth T=D/m = 40/2.5 = 16
| Sl.No | Gear | Module | Pitch Dia | No of teeth |
| 1. | Ring | 2.5 | 115 | 46 |
| 2. | Sun | 2.5 | 35 | 14 |
| 3. | Planet | 2.5 | 40 | 16 |
PARTS AND ASSEMBLY MODELS
- CARRIER
- RING GEAR
- SUN GEAR
- PLANET GEAR
ASSEMBLED MODEL OF EPICYCLIC GEAR SYSTEM
PART AND ASSEMBLY FILES:-
https://drive.google.com/drive/folders/1e7TCvmQI0q4SNMjJ5YqoFxG1s80UPWEw?usp=sharing
ANIMATION FOR EACH CONDITION
1)
| Input | Output | Fixed |
| Sun Gear | Carrier | Ring Gear |
2)
| Input | Output | Fixed |
| Ring Gear | Carrier | Sun Gear |
3)
| Input | Output | Fixed |
| Sun Gear | Ring Gear | Carrier |
RESULTS
1)
| Input | Output | Fixed |
| Sun Gear | Carrier | Ring Gear |
2)
| Input | Output | Fixed |
| Ring Gear | Carrier | Sun Gear |
3)
| Input | Output | Fixed |
| Sun Gear | Ring Gear | Carrier |
OBSERVATIONS & CONCLUSIONS
The graphs shown above were plotted by changing the input component/gear for each repective scenario.
CASE 1 :
| Input | Output | Fixed |
| Sun Gear | Carrier | Ring Gear |
The angular velocity obtained in this case has a maximum value of 154 deg/sec.
CASE 2 :
| Input | Output | Fixed |
| Ring Gear | Carrier | Sun Gear |
The angular velocity obtained in this case has a maximum value of 474 deg/sec.
CASE 3 :
| Input | Output | Fixed |
| Sun Gear | Ring Gear | Carrier |
The angular velocity obtained in this case has a maximum value of 388 deg/sec.
The minor fluctuations we can observe at caused as a result of sliding between the gear teeth, which may lead to the devlopment of vibrations. For making the graph more smoother, we can use precise contact.
We can also observe that when the input gear has a larger dia, the angular velocity automatically increases as the velocity ratio is also extremely high