Gear Rotation Speed
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Suppose gear ratio in second gear is i2,
i2=front and rear planetary gear ratio (i2')x reduction planetary gear ratio (iRD)
i2'=NRS/NRR
NRC=NFR, NRR=NFC: condition A
- From formula (1), the relation between the gear ratio in second gear and the rotation speeds of the front and the rear planetary gar sets is indicated in formulas (2) and (3).
(ZFR+ZFS)xNFC=ZFRxNFR+ZFSxNFS: (2)
(ZRR+ZRS)xNRC=ZRRxNRR+ZRSxNRS: (3)
- From the result NFS=0 in formula (2)
NFC=ZFR/(ZFR+ZFS)xNFR: (4)
- According to condition A
NFC=NRR=ZFR/(ZFR+ZFS)xNRC
- Here we substitute condition A in formula (3)
(ZRR+ZRS)xNRC=ZRRxZFR/(ZFR+ZFS)xNRC+ZRSxNRS
i2'=NRS/NRC=((ZRR+ZRS)-ZRRxZFR/(ZFR+ZFS))/ZRS
i2=i2'xiRD=((ZRR+ZRS)-ZRRxZFS/(ZFR+ZFS))/ZRSx(ZDR+ZDS)/ZDR
=((75+42)-75x74/(74+34))/42x(85+31)/85
=2.132