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First thing I see is finding a motor that will fit in the boiler and not be too tall. What does the boiler measure out to ?
First thought is that you don't need a gearhead motor. The Atlas Shay gearing stock is very low. Adding reduction at your crown/pinion combo as well as in the motor might be a bit overkill. This will save some height issues with the motor.
The bugaboo on working with the Atlas Shay mechanism parts is controlling the tolerance between the worm and the trucks. On the Atlas shay, the only thing controlling that is the motor position in the bracket. You're on your own setting up a block / bearing above the truck.
My 'go to' drive for my Class A Climax kits is a Solarbotics GM15A 6mm motor with a 25:1 reduction, paired up with a 100 ohm resistor. Cheap, reliable, available. Length is more of a problem than diameter with a gearhead.
Gizmoszone appeared to buy from a Marsten company in China, also gone. It's kind of sad, too, because Gizmoszone had some wonderfully tiny crown gears and matched spurs to do tiny differential drives. I got a set to do hirail trucks.
I'm sure that our resident machinist, Mark Graulty (narrowminded), could figure out about any gear you want. I've seen his tiny gears for Nn3.
An eye-opener for me is the tiny motors in the Rokuhan SA001 critters for Z scale - very small, high RPM, 9V, and with a set of motor magnets in them that can suck parts off the workbench. Worth looking at, and they have a worm on the end that could be paired with something on that driveshaft, and that double-worm reduction might actually work. I have SEVERAL of those motors left over, if somebody wants one, contact me.
The Climax A vertical boiler on a more 'stock' Kato chassis succeeded in getting darn near the entire drive train out of sight (horizontal motor in the round tank, shaft barely visible above the floor) with a cast metal boiler and woodpile for weight. But again, this doesn't even begin to solve the problem of working cylinders. If you're content with static drivetrain, this would work just fine. I've taken my Climax A kits and figured out how to put the Rokuhan Z trucks under them for Nn3 versions, and there's no reason why this won't work to this vertical boiler idea. The Rokuhan trucks and pickups are Kato quality, but you REALLY need the gearhead in this one. I have some video of the Nn3 out on YouTube. I don't know of anyone that's successfully narrowed Atlas shay trucks to Nn3, if anybody has, I'd like to see it.
What diameter motor do you have that will work ?
The Aurora motors were more about RPM than torque (because these are race cars), but it was possible to rebuild them for higher torque (stronger magnets and finer wire). That said, the magnets took up a lot of space. The motor shaft was vertical, with spur gears to carry motion to the rear of the car and a crown gear driving the rear axle. How would you fit such a motor into a Shay in order to drive the axles?
-There are quite a few small motor options available. The Nn3 community has been using various small motors. This won't need too much power. A few narrow gauge cars. The Kato 11-106 critter motor will fit. This photo shows a Nigel Lawton motor 6mmx12mm and a 3D printed boiler (which may be a bit big, but is hollow): (Attachment Link) -I played with the idea of the motor turning spur gears, obtaining some reduction and keeping a low/flat profile in the deck, but transferring the motion from a flat plain perpendicular to the gears in the truck has stymied me. Slot car gear arrangement has been floating in my head for years. Wondering if anyone had ever considered using that configuration to minimize space in a model locomotive. Probably because there has not been a real need and I am still guessing that there are many engineering reasons why scale locomotives are are designed as they are.
While driving the truck tower gears with a worm directly like that will "probably" work on curves, because there is enough slop in our gears to tolerate the truck swivel, I would suggest building carriers for the worms on top of the trucks, so they canstand alone, and joining them to the main horizontal shaft through U-joints.