OEM front/input gearset tooth count:
sun = 34
ring = 70
planet = 18
(check 34+2*18=70)
sun:ring velocity ratio (mechanical advantage) = 70/34 = 2.0588
OEM rear/reaction gearset tooth count:
sun = 34
ring = 78
planet = 22
(check 34+2*22=78)
sun:ring velocity ratio (mechanical advantage) = 78/34 = 2.2941
1st gear:
front gearset only:
sun = input
ring = held
carrier = output
In the matrix below:
0 = held stationary relative to case
-1 = reverse rotation
So 1st gear ratio is 3.0588.Code:Represent this using a 1x3 matrix: [ sun ring carrier ] [ 2.0588 -1 0 ] [ 3.0588 0 1 ] (added 1 to all elements) input = 3.0588, output = 1
2nd gear:
front carrier drives rear ring and front ring drives rear carrier simulatenously.
front gearset:
sun = input
ring = rear carrier
carrier = rear ring = output
rear gearset:
sun = held
ring = front carrier = output
carrier = front ring
So 2nd gear ratio is 1.6250.Code:Represent this as 2x3 Matrix: [ [ sunfront ringfront carrierfront ] [ sunrear ringrear carrierrear ] ] [ [ 2.0588 -1 0 ] [ 2.2941 -1 0 ] ] [ [ 3.0588 0 1 ] (added 1 to row) [ 0 -3.2941 -2.2941 ] (subtracted 2.2941 from row) ] [ [ 4.3921 0 1.4359 ] (multiplied row by 1.4359 from next row) [ 0 1.4359 1 ] (divided row by -2.2941) ] [ [ 1.3333 0 0.4359 ] (multiplied row by 0.4359/1.4359) [ 0 1.4359 1 ] ] [ [ 2.3333 1 1.4359 ] (added 1 to row) [ 0 1.4359 1 ] ] [ [ 1.6250 0.6964 1 ] (divided both rows by 1.4359) [ 0 1 0.6964 ] ] input = 1.6250, output = 1