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Shown and described is a speed reducer using two planetary gear systems which is capable of high speed reduction in a relatively small volume.
English (United States)
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Shown and described is a speed reducer using two planetary gear systems
which is capable of high speed reduction in a relatively small volume.
Sun gears 1 and 2 are each mounted on input shaft 3. Planet gears 4 and 5
are fixed relative to each other, but allowed to rotate on shaft 6. One ring gear 7
is grounded, and the other 8 is connected to output shaft 9. To achieve
maximum speed reduction, sun gears 1 and 2 are made equal and small in
relation to the ring gears 7 and 8, the ring gears are made relatively large, and
the difference between the ring gears is two teeth. The following equation has
been derived to express the speed reduction: omega 3 divided by omega 9 =
N(8) (N(1) + N(7)) divided by N(1)N(8) - N(2)N(7) where omega 3 is the input
angular velocity; omega 9 is the output angular velocity; N(1) is the number of
teeth of the sun gear 1; N(2) is the number of teeth of the sun gear 2; N(7) is the
number of teeth of the ring gear 7; N(8) is the number of teeth of the ring gear 8.
Modifications to the disclosed apparatus are possible. Two directional
outputs may be achieved by changing the ring gear which is grounded and that
which has output. A torque limiter can be introduced into this system by putting
a flat spring slip clutch between the ring that is grounded and ground.
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