# How is an epicyclic gear train calculated?

## How is an epicyclic gear train calculated?

Calculation of epicyclic Gear Ratio using Equations

1. First calculate the ratio of the gears with the planet carrier fixed.. r f = (±) Product of Driving Gear Teeth /Product of Driven Gear Teeth.
2. Designate and input gear (x) and an output gear (y).
3. The train value with the carrier fixed =

How do you determine the number of teeth in epicyclic gear?

That is to say, the number of teeth in the ring gear is equal to the number of teeth in the middle sun gear plus twice the number of teeth in the planet gears….Working out planetary gear turns ratios.

Tr Turns of the ring gear
R Ring gear teeth
S Sun gear teeth
P Planet gear teeth

### How is torque calculated in epicyclic gear trains?

1. for a epicyclic gear train summation of torque equal to zero. nd summation of power equal to zero. so,
2. T(input)+T(output)+T(holding)=0 ……. equation 1. p(input)+p(output)=0 ….
3. p= Tw ..equation 3. by eqn 2 nd 3. Tw(input)+Tw(output)=0.
4. p =power. w= angular velocity.

How different gear ratios can be obtained with a single epicyclic gear train?

This configuration will produce an increase in gear ratio, equal to 1+Nr/Ns. If the ring gear is held stationary and the sun gear is used as the input, the planet carrier will be the output. The gear ratio in this case will be 1/(1 + Nr/Ns) which can also be written as 1:(1 + Nr/Ns).

#### How do you calculate the gear ratio of a train?

To calculate the gear ratio: Divide the number of driven gear teeth by the number of drive gear teeth. In our example, it’s 28/21 or 4 : 3. This gear ratio shows that the smaller driver gear must turn 1,3 times to get the larger driven gear to make one complete turn.

How do you count the number of teeth in planet gear?

First Steps. To make calculating planetary gear ratios as simple as possible, note the number of teeth on the sun and ring gears. Next, add the two numbers together: The sum of the two gears’ teeth equals the number of teeth on the planetary gears connected to the carrier.

## What is holding torque in an epicyclic gear train *?

1. Input torque = (60*voltage*current)/ (2*22/7*input speed) 2. Output torque = (60*voltage*current)/ (2*22/7*output speed) 3. Holding torque = Output torque – Input torque.

What is reverted epicyclic gear train?

Reverted Gear Train When the axes of the first gear (i.e. first driver) and the last gear (i.e. last driven or follower) are co-axial, then the gear train is known as reverted gear train. 19.

### How to calculate the gear train?

Step-1 : GR (1-2) = 30/40 = 0.75

• Step-2 : Calculate GR between Gear-3 and Gear. GR (3-4) = 10/20 = 0.5
• Step-3 : Resultant Compound Gear GR = 0.375 3) Reverted Gear Train.
• What is velocity ratio in simple gear train?

When there is only one gear fitted on each shaft, then this type of gearing system named Simple gear trains. Speed Ratio or You can say Velocity Ratio: It is the ratio of the speed of the driver gears to the speed of the driven gears . The ratio speed of any pair of gear is the inverse of the teeth.

#### What does epicyclic gear train mean?

epicyclic train, epicyclic gear train (noun) a system of epicyclic gears in which at least one wheel axis itself revolves about another fixed axis

Where is the epicyclic gearing train used?

The epicyclic gear trains are used in the back gear of lathe, differential gears of the automobiles, hoists, pulley blocks, wrist watches , etc. The epicyclic gear trains are useful for transmitting high-velocity ratios with gears of moderate size in a comparatively lesser space.

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