Hi all,
I've been working on a simple (web-based) program to calculate change gears for my own use…it is still a work in progress, but using it, with the OP's gear, it has come up with the following combinations:
It should be noted that my program is designed to expect an imperial lead screw pitch, but should handle the 'imperialification' of a metric pitch, so these figures used a pitch of 7.69TPI, as opposed to 3mm.
I make no guaranteed that these combination will actually fit together…I'm still working on that feature!
Simple:
A : D -> Result (Error)
60 : 63 -> 8.0745 TPI (0.9313% )
Compound:
A : B / C : D -> Result (Error)
50 : 48 / 36 : 39 -> 7.9976 TPI (0.0300%)
50 : 56 / 42 : 39 -> 7.9976 TPI (0.0300%)
50 : 39 / 36 : 48 -> 7.9976 TPI (0.0300%)
50 : 39 / 42 : 56 -> 7.9976 TPI (0.0300%)
56 : 63 / 40 : 37 -> 8.0024 TPI (0.0301%)
56 : 37 / 40 : 63 -> 8.0024 TPI (0.0301%)
60 : 54 / 32 : 37 -> 8.0024 TPI (0.0301%)
60 : 37 / 32 : 54 -> 8.0024 TPI (0.0301%)
(under the covers, the program is just working out the resulting TPI for a given lead screw and set of gears for all possible combinations, and then the result with the specified target (in this case 8TPI) and filtering out those where the error is too great.
The calculation used is as follows (using the 1st compound set as an example)
(Driven / Spindle) x (Leadscrew gear / Driver) x Leadscrew TPI
(B/A) x (D/C) x Leadscrew TPI
(48/50) x (39/36) x Leadscrew TPI
0.96 x 1.083 x 7.69
1.04 x 7.69
7.9976, which is 0.03% under the target of 8TPI
I hope this is of use….(and I'd be very grateful if anyone could point out any errors…I'm still 'enjoying' the gear-combination calculation learning curve!)
cheers
Paul