POWER-TRANSMISSION COMPONENTS - Manual Transmission 2-7
The distribution of the drive force to the carrier and sun gear in a
planetary gear type differential is determined by the number of teeth
on the ring gear and sun gear.
Here is the figure of the velocity diagram if the number of teeth on
the ring gear is Zr and the number of teeth on the sun gear is Zs.
The carrier is considered to be fixed, the ring gear and sun gear
revolve in the same direction, and the sun gear rotates Zr/Zs for one
rotation of the ring gear. The figure on the left shows the velocity
diagram for such a case.
ccording to the velocity diagram, the result is as follows if we
consider a state of balance with the ring gear in the center when the
ring gear and sun gear rotate at the same speed.
If
Tr: Ring gear input torque
Ts: Sun gear output torque (front output)
Tc: Carrier output torque (rear output)
Then
(1) Tr = Tc+Ts
(2) Tc x Zs = (Zr - Zs) x Ts
From (1) and (2)
Ts
= Zs/Zr
x Tr
Tc
= (Zr-Zs)/Zr
x Tr
Ts:Tc = Zs: Zr - Zs = Front: Rear
With the W5MG1, Zr = 60 and Zs = 27, so Zr - Zs = 33.
Front: Rear = 27: 33 = 45 : 55.
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