With four core components, calculating the gear ratio of planetary gear systems, also known as epicyclic gear systems, may seem daunting. An epicyclic gear train consists of two gears mounted so that the centre of one gear revolves .. The fundamental formula of the planetary gear train with a rotating carrier is obtained by recognizing that this formula remains true if the angular. This tutorial shows the usage of MESYS shaft calculation with shaft systems. A two-stage For a planetary gear stage we need at least two shaft groups. With a.

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Calculating ratios using tables Calculating ratios using equations Calculating ratios using planet gear instantateous velocities An epicylic gear is a planetary gear arrangement consisting of one or more planet epicyclic gears P meshed and rotating round a central sun gear S.

## Epicyclic gearing

The planet gears are also meshed and rotate within an internal ring gear A. The planet gears are fixed to a planet carrier-crank calcluations L designed to rotate on the same centre as the sun gear. This complicated arrangement see below has a number of modes of operation depending on which members are locked. Epicyclic gears can be based on spur gears, helical gears, or bevel gears. Epicyclic gearboxes are generally purchased as complete units from specialist suppliers.

Typical Epicyclic Gear Arrangement. Star where the planet carrier arm is fixed and the sun calculaitons annulus ring gear rotate. Planetary where the annulus ring gear is the fixed component and the sun gear calvulations planet carrier arm rotate. Solar where the sun gear is the fixed component and the annulus ring gear and planet carrier arm rotate.

eppicyclic If the ratio of rotation of the follower member R A has a ratio of R relative to the driving member R B rotation i. The driver is the planetary arm L. The driven member is the Sun S. The Ring Gear is fixed. The driver is the Sun S. The driven member is the planetary arm L. The driven member is the Ring A.

### Epicyclic Gears

The planetary arm is fixed. The driver is the ring gear A. The follower is the Sun S. The the planetary arm L is fixed. The driver is the planetary Arm L. The follower is the annulus ring Valculations The the sun gear S is fixed.

The driver is the annulus ring gear A The follower is the planetary arm L. The sun S is fixed. The follower is the sun S. The the Ring gear A is fixed. N S revs CW. The driver is the sun S. The follower is the planetary arm L. The figure below shows the range of possible epicylclic gear arrangements. This relationship is used to solve the planetary gear train ratios. Using this method for the examples above Example 1.

This method analyses the motion of one planet gear. The centre moves at the same velocity as the gwarthe pitch velocity at the teeth mating with ring is the same eicyclic that of the pitch velocity of the ring and the pitch velocity of the teeth in contact with the sun gear moves at the same velocity as the pitch velocity of the sun gear. From this relationship the gear ratios can easily be calculated as shown below.

The information on this page has not been checked by an independent person.

Use calcullations information at your own risk. Introduction An epicylic gear is a planetary gear arrangement consisting of one or more planet epicyclic gears P meshed and rotating round a central sun gear S. Arrangement as above The driver is the Sun S. Arrangement as above The driver is the ring gear A. Arrangement as above The driver is the annulus ring gear A The follower is the planetary arm L. Arrangement as above The claculations is the sun S.

### Planetary gear ratio calculations

Informative Document Planetary gears Informative paper Epi cyclic gear calculator Excel based programmes allowing detailed calculations. Excellent facility for Engineers. Library includes epicyclic calculator based on Roymech.