origami cylinder shape simulation

I want to make a simulation to see how the folding surface behave when it is a cylinder shape .Now I have a simply gh file which could simulate how to fold a flat surface when we input the line pattern.It could fold but cannot control the shape it generating.

So i try to give it a string force to make it become a cylinder shape,but it doesnt work so well. It work much better if i just want a half of the cylinder.At the beginning i think maybe i just need to show half of a cylinder is still fine, because time pressure, i don't want to spend too much time on this simulation,half of the cylinder still could show how the folding behave. And i could also mirror half of the  cylinder folding surface and try to fix the connection area in Rhino.

When the folding pattern is simple is fine,but when it is making a curved folding it behave very strange in some area. So i try to use curve pull from Kangaroo to pull some points of the folding edges on a curve to make it look more normal.At the beginning, i make a text to pull 2 points to a curve. But it doesn't work at all. Hope somebody could give me some help for that.

Maybe if you have another good idea to make the simulate it would be great.