For your inspiration. This is what immediately comes to mind when I think of Ribbed circular roofs. I can't view your file so I don't know if this is what you had in mind or not.

This is a Baroque (I think it's baroque anyway) German technique known as Bohlendach, which literally means plank roof. The idea is that the roof truss structure is made of many short timbers instead of long ones, which allows them to make radiused roofs.