Planetary Gear

AIM: TO ANALYSE THE MOTION STUDY OF PLANETARY GEAR MECHANISM USING SOLIDWORKS.

OBJECTIVE:

• To create 3D models for all parts.
• To perform motion analysis by rotating the input gear at 200 rpm.
• To obtain a plot for Angular velocity of the output.
• To export the results to a spreadsheet.
• To create motion study for three conditions-

Study number	Input	Output	Fixed
1	Sun gear	Carrier	Ring gear
2	Ring gear	Carrier	Sun gear
3	Sun gear	Ring gear	Carrier

OVERVIEW AND CALCULATION:

A gear is a kind of machine element in which teeth are cut around cylindrical or cone shaped surfaces with equal spacing. By meshing a pair of these elements, they are used to transmit rotations and forces from the driving shaft to the driven shaft.

Planetary gears –

A planetary gear set is made up of three types of gears; a sun gear, planet gears, and a ring gear. The sun gear is located at the center, and transmits torque to the planet gears, which are typically mounted on a moveable carrier. The planet gears orbit around the sun gear and mesh with an outer ring gear. Planetary gear systems can vary in complexity from very simple to intricate compound systems, depending on the application.

Calculation:

The module(m) is the ratio of reference diameter (or) Pitch diameter to the number of teeth.

m=d/T

here, m = module

d = pitch circle diameter

T = number of teeth

For Ring gear:

Module(m) = 2.5

Number of teeth(T) = 46

So, Pitch circle diameter(d) = m*T = 2.5*46 = 115

For Sun gear:

Module(m) = 2.5

Number of teeth(T) = 14

So, Pitch circle diameter(d) = m*T = 2.5*14 = 35

For Planet gear:

Module(m) = 2.5

Number of teeth(T) =?

Radius of Ring Gear = Radius of Sun gear + Diameter of planet gear

(m*T/2)_Ring = (m*T/2)_Sun + (m*T)_Planet

No. of teeth of Ring gear = No. of teeth of Sun gear + 2 × No. of teeth of Planet gear

46 = 14+2*T_planet

T_planet = 16

So, Pitch circle diameter(d) = m*T = 2.5*16 = 40

3D MODELS:

1. Ring gear

2. Sun gear

3. Planet gear

4. Carrier (Transmission shaft)

5. Assembly

BODY OF CONTENT:

1. Study-1 (Ring gear is fixed and input is provided to Sun gear)

Firstly, we will set up the Input gear speed to 200 rpm as -

Then, making contacts between the parts as -

Then we will get the plot as by clicking on result and plots section -

2. Study-2 (Sun gear is fixed and input is provided to Ring gear)

Firstly, we will set up the Input gear speed to 200 rpm as -

Then, making contacts between the parts as -

Now, Fixing the Sun gear as -

Then we will get the plot as by clicking on result and plots section -

3. Study-3 (Carrier is fixed and input is provided to Sun gear)

Firstly, we will set up the Input gear speed to 200 rpm as -

Then, making contacts between the parts as -

Now, Fixing the Carrier as -

Then we will get the plot as by clicking on result and plots section -

RESULTS:

Study-1 (Ring gear is fixed and input is provided to Sun gear)

Plot

Study-2 (Sun gear is fixed and input is provided to Ring gear)

Plot

Study-3 (Carrier is fixed and input is provided to Sun gear)

Plot