tten on the initial configuration): this makes the analysis a bit tricky. In Finite Element programs, this is usually solved by an iterative method (modified Riks method), which is unfortunately not implemented in Karamba. There are other form-finding techniques, used for gridshells:
Dynamic relaxation with kinetic or viscous damping. I used viscous damping and an implicit integration scheme (Bathe's method) for the form-finding of gridshells in this paper. For kinetic damping, you can look here. It was first used for beams by Sigrid Adriaenssens
You can also look at Sina Nabei's PhD on the form-finding of twisted beams, and also the thesis of Frederic Tayeb (in french) and some papers in the link far below.
The main question remains the mechanical you are using: beam model (with torsion and bending) or shell model? In terms of solver, Kangaroo2 is powerful (although you don't have access to real engineering values, like Young's modulus), but there is no beam element with 4 or 6 degrees of freedom/node... Likewise, I'm not sure that shell elements (with bending) are implemented within Kangaroo2.
If you look for references of research on deployable structures for shading, you can look at the research at ITKE, but also a joint research effort between Princeton and l'Ecole des Ponts ParisTech.
http://thinkshell.fr/deployable-structures/
http://thinkshell.fr/form-finding-of-twisted-beams/
I hope this helps you...
Romain…