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The planetary gear set,
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also known as,
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the epicyclic gear train
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is one of the most
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important and interesting
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inventions in engineering.
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They are great speed
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variation mechanisms
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and are often used in
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automobiles as a vital part of
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automatic transmissions.
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Let's explore the secrets
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of the planetary gear set
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in this video.
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A planetary gear set
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has four main parts:
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the sun,
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planet gears,
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ring gear,
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and carrier.
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You can see
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that it sometimes rotates quickly,
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sometimes slowly,
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and sometimes
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even in reverse.
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But, how does this happen?
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You will be able
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to predict the motion
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of this gear set completely,
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if you understand
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one simple fact!
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When two gears are moving as shown
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they should have
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the same speed at the interface.
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This means that the speed of gear A
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should be the same as gear B
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at their mating point.
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The speed has to be the same
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otherwise...
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the gear teeth will penetrate
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each other as shown.
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That is an impossible condition.
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Just apply this fact
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to planetary gear sets,
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and you will be able to predict
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how speed variation is achieved.
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Assume that the ring gear
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is held stationary
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and we rotate the sun gear.
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Think of what happens
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to the planet gears!
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At point A,
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the planet gear
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should have a certain speed
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and at point B,
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the speed should be zero,
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as the ring gear is stationary.
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However,
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how are both
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of these conditions
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possible at the same time?
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There is only one way,
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the planet gear
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should spin as well as turn!
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The spinning will produce
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velocities in opposite [directions]
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at the top and bottom points,
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as shown,
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whereas, the turning
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produces unidirectional velocities
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at the top,
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the spinning and turning velocities
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are in opposite directions,
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so the velocity [of] point B is zero.
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At the bottom,
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they get added up.
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In short the Planet gears are forced to turn in order to satisfy the condition of velocity.
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as The carrier is attached to the planet gear it will turn along with the planet Gears
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Now let's see what happens when the sun gear is held stationary and the ring gear is rotated
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This is the exact opposite to the previous case at the inner point of the planet gear
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the Velocity should be zero and the outer points should have the speed of the ring gear.
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in This case the planetary Spin will reverse in order to satisfy the speed conditions
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However this case has one more difference
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The speed of point B. Will be higher than [the] speed of point A in the previous case
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This is obvious as the ring gear radius is higher
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This will make the planet gear spin and turn at a higher speed thus the carrier will turn at a higher speed
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Let's now explore this reverse mechanism of Planet Gears
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For this what you have to do is just arrest the motion of the carrier
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This means the Planet gears are not allowed to turn and can only spin
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This Spin will be opposite to the rotation of the sun gear
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This spinning Planet Gear will make the ring gear rotate in the same Direction
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In short the direction of rotation of the ring Gear will be the opposite to the sun gear thus we will get the reverse gear
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Here you can note that in order to achieve different speeds the input must be given to different parts of the planetary gearset
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This is practically difficult in an actual mechanism
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in an automatic transmission [to] achieve this
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Three planetary gear sets are connected in series as shown with coaxial Shafts
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To understand how this arrangement effectively transfers the input rotation to different parts of the planetary gearset
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Watch our video on automatic transmission
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