Goofy idea: cylinder, piston with o-rings, vacuum inside.
Or a thing like garage door openers use, a long torsional spring twisting a shaft with a cable wound around it. Not quite constant force, unless you taper the shaft.
A cable wrapped around a tapered, maybe grooved, drum can do all sorts of nonlinear compensations.
I once met the guy who invented the Nautalus exercize machines, when I was a kid and he ran an alligator farm out on old Highway 90 near Slidell. He used to land his plane on the highway. Nautalus machines have some nice nonlinear force mapping mechanisms.
John