Thanks @Norton
As far as actually implementing this, I was planning to replicate the crank system we see on steam locomotives. I don't know all the technical terms so I hope someone does and will teach us. But I was planning to put a wheel on the shaft of a motor. That wheel should have a hole drilled out near the edge of it. The radius of the wheel should match the length of the desired stroke (aka travel) of the bell. Then a rod would be bent through that hole in the wheel at one end. The other end glued to the bell itself. That's what I planned to do. I'm fortunate because I can 3D print any size wheel I want with the appropriate radius. I would probably go after the actuators mentioned above if I couldn't do this. I may still go with the actuators if the wheels don't fit in the furnace body.
I don't believe there are tutorials @Rich in NOVA. In my case, I'll be splitting this into "initial testing" and "final product". The "initial testing" is just running the system constantly, as shown in the video (thanks for the compliments, by the way). This is to make sure it works because I've never 3D printed this sort of thing so I don't know what sort of tolerances I'll be looking at or if I'll need bearings/busing, etc.
Once I learn the details, then I'll come up with a "final product" that goes on the layout and is timed correctly. In real life, the bells wouldn't reciprocate nonstop, as shown in the video. They would run in cycles based on the skip hoist cars. My instinct is to program an Arduino to control the timing but a board like @EmpireBuilderDave mentioned would be simpler. The only benefit I see in using the Arduino is that I could control two skip hoist motors and two bell motors I think. We'll see. As I mentioned, I need to figure out the movement. Then I'll graduate to the more difficult stuff.
Unfortunately, I broke the 3D printer the other day. Parts are expected in less than a week. That REALLY puts a damper on things as I was doing the final prototype on the blast furnace body. Then I wanted to print these parts.
I'll check those out @Edmund Schwartzel 060518. Thanks!