Planetary Gear Motion Analysis

Objectives :-

To run the motion analysis on the planetary gear with a sun gear, a ring gear, a carrier and four planet gears.

Components used to Motion analysis on planetary gear :-

• Ring gear - 1
• Sun gear - 1
• Planet gear - 4
• Carrier - 1

Input Parameters :-

1) Ring Gear

• Module = 2.5
• Number of teeth = 46
• Pitch Diameter = 115 mm
• Outside Diameter = 130 mm
• Face Width = 10 mm

2) Sun Gear

• Module = 2.5
• Number of teeth = 14
• Pitch Diameter = 35 mm
• Shaft Diameter = 20 mm
• Face Width = 10 mm

Calculation for Planet gear parameter :-

Pitch dia of ring gear = 115 mm

So, Radius = D/2 = 115/2 = 57.5 mm

Pitch dia of sun gear = 35 mm

So, Radius = D/2 = 35/2 = 17.5 mm

Now, Diameter of planet gear = Radius of Ring gear - Radius of sun gear

So, Diameter of planet gear =57.5-17.5 = 40 mm

By the above Calculation Parameters of Planet gear

• Pitch Dia of Planet gear = 40 mm
• Module = 2.5
• Teeth = Pitch Diameter / Module = 16
• Face width = 10 mm
• Shaft Diameter = 20 mm

Note :- All the dimensions are in ANSI Metric system

Design and model of Carrier :-

Model of the Assembled Planetary gear :-

Motion Analysis on Planetary Gear :-

Contact between the gears

1. Solid contact between ring gear and all the 4 planet gear (material steel dry)
2. Solid contact between Sun gear and all the 4 planet gear (material steel dry)

Input speed of the gear in all the cases = 200 RPM

Case I

Input - Sun Gear

Output - Carrier

Fixed - Ring Gear

Fig :- Angular velocity of the carrier with respect to time

Animation :-

Case II

Input - Ring gear

Output - Carrier

Fixed - Sun gear

Fig :- Angular velocity of the carrier with respect to time

Animation :-

Case III

Input - Sun gear

Output - Ring gear

Fixed - Carrier

Fig :- Angular velocity of the Ring gear with respect to time

Animation :-

Conclusions :-

• In case I The ring gear will fixed, Input will given to the Sun gear at 200rpm and output will calculated on carrier. By giving the input to the sun gear it rotate about its axis and is connected to planet gear. So the planet gear also rotate and it is connected to carrier so it rotate the carier also. And the angular velocity calculated on carrier and shown on the Plot 1 above. (The angular velocity lies between 260-290 deg/sec)
• In case II The Sun gear will fixed, Input will given to the Ring gear at 200rpm and output will calculated on carrier. By giving the input to the Ring gear it rotate about its axis and is connected to planet gear. So the planet gear also rotate and it is connected to carrier so it rotate the carier also. And the angular velocity calculated on carrier and shown on the Plot 2 above. (The angular velocity lies between 850-950 deg/sec)
• In case III The carrier will fixed, Input will given to the Sun gear at 200rpm and output will calculated on Ring gear. By giving the input to the sun gear it rotate about its axis and is connected to planet gear. So the planet gear also rotate and it is connected to carrier but carrier will fixed so the power transmited to the ring gear by rotating planet gear about its axis. So the angular velocity calculated on Ring gear and shown on the Plot 3 above. (The angular velocity lies between 350-400 deg/sec)
• By showing all the above graph it observe that the highest angular velocity will shown on Plot 2 when the input given to the ring gear and the output calculated on carrier.

Reference:-

• www.wikipedia.com
• projects.skill-lync.com
• www.google.com
• www.youtube.com