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