I've seen a lot of mechanical computers based on gears and rigid rods, but none so far that consequently use belts (not chains) for transmission of information.
Belts allow for easy negation (by crossed belts), simple logic gates (using different contact pressures of the belt on the green wheel or shaft), and even one step multiplication (by tunable radii of shafts). Putting all this together could give a decent mechanical computer, at least for feed-forward calculations without recursion.
I wonder where I can find a thorough description of a (maybe hypothetical) mechanical computer based mainly on wheels, shafts, and belts (and maybe some gears and rods).