- #1
one_raven
- 203
- 0
OK.
Here's the situation:
I am trying to build a spreadsheet to solve for planetary gear configurations.
I have done most of the work already, but I am getting stuck when solving for planetary differentials.
If you don't know, a planetary gear differential is basically a gear set-up that has three shafts that can be used as inputs or outputs.
Let:
S = Speed (in RPM)
N = Number of teeth on the gear
r = ring gear
c = planet carrier
s = sun gear
The relationship can be described by the following equation:
(Sr-Sc)/(Ss-Sc)=Ns/Nr
There are six different configurations I am trying to solve for.
Unfortunately, Algebra and I have been apart for far too long.
Think maybe you can help?
Configuration 1
Ns: known
Nr: known
Sr: known
Sc: known
Ss: not known
Configuration 2
Ns: known
Nr: known
Sr: known
Sc: not known
Ss: not known
Configuration 3
Ns: known
Nr: known
Sr: known
Sc: not known
Ss: known
Configuration 4
Ns: known
Nr: known
Sr: not known
Sc: known
Ss: not known
Configuration 5
Ns: known
Nr: known
Sr: not known
Sc: known
Ss: known
Configuration 6
Ns: known
Nr: known
Sr: not known
Sc: not known
Ss: known
Any help would be greatly appreciated.
Especially if you show me how you did it.
Here's the situation:
I am trying to build a spreadsheet to solve for planetary gear configurations.
I have done most of the work already, but I am getting stuck when solving for planetary differentials.
If you don't know, a planetary gear differential is basically a gear set-up that has three shafts that can be used as inputs or outputs.
Let:
S = Speed (in RPM)
N = Number of teeth on the gear
r = ring gear
c = planet carrier
s = sun gear
The relationship can be described by the following equation:
(Sr-Sc)/(Ss-Sc)=Ns/Nr
There are six different configurations I am trying to solve for.
Unfortunately, Algebra and I have been apart for far too long.
Think maybe you can help?
Configuration 1
Ns: known
Nr: known
Sr: known
Sc: known
Ss: not known
Configuration 2
Ns: known
Nr: known
Sr: known
Sc: not known
Ss: not known
Configuration 3
Ns: known
Nr: known
Sr: known
Sc: not known
Ss: known
Configuration 4
Ns: known
Nr: known
Sr: not known
Sc: known
Ss: not known
Configuration 5
Ns: known
Nr: known
Sr: not known
Sc: known
Ss: known
Configuration 6
Ns: known
Nr: known
Sr: not known
Sc: not known
Ss: known
Any help would be greatly appreciated.
Especially if you show me how you did it.