I thought of cutting down a 55 gallon drum with a bearing in the middle of the bottom, but that's too small diameter.
Or start with a frame and attaching a bicycle wheel, then buliding onto that. I can make big rings with sheet metal. Then light sheetmetal strips welded to hold the two rings. The rear of the larger ones looks like it could do harm if a cat fell out the other side. Poster board or something like that would eliminate cats feet getting stuck in the spokes.
Another question, in the larger models, the "spokes" are curved. I've seen that basic design over and over again throughout the ages. Is it just for looks or does it have a purpose?