This idea was inspired by a reference-book I’d inherited from my father, a Chartered Electrical Engineer.
For anyone wanting pure engineering puzzles, in a sort of half-way between ornamental-turning and replicating antique prime-movers, the huge range of mechanical-transmission mechanisms invented over the last couple of centuries might be interesting to explore.
Replicas of them might not strictly be “models”, and the full-scale ones were made in many different sizes anyway, but would demonstrate how machine designers solved such problems as varying shaft speeds in a set manner throughout an operating cycle, when things like stepper-motors were far into the future. I wonder if some were intended to circumvent (or “improve” on!) others’ patents, as patent-lawyers appear to have been as lawyerly then as now!
I exclude ordinary cams. Anyone can make a cam (though they can be difficult, so a challenge, to design).
I include all manner of link motions, non-circular gears, variable-speed controllers, etc. How, for example, do you cut correctly, a pair of square or elliptical gears so they operate as intended?
……..
Having been rude about poor cams, actually a cam-driven device was among my earliest inspirations of a general interest in engineering. When very young I was fascinated by the then-mysterious bobbin-winder on Mum’s ‘Singer’ manual sewing-machine.
A heart-shaped cam drives a rocking-lever thread-guide so the bobbin winds each layer evenly, needing constant velocity for the bobbin’s full length with near-instant reversals. Not long ago it occurred to me to wonder if the cam curve is based on (A, Sin A] on a polar axis, where A is the cam’s angle of rotation – but I have yet to experiment, probably by spreadsheet. I found some years ago that the polar [A, Sin A] graph does look cardiac.
In recent years I saw a much bigger solution to a similar problem, on a special winch. The follower is a roller or a lozenge-shaped block on a pin, in a pair of helical “threads” of opposing hands, like a giant knurl, linked by a rapid transition point at each end of the travel. The thread pitch is the diameter of the hose wound onto the drum, via a fairlead connected to the follower.