Form-finding of extensive tensegrity using truss elements and axial force lines

Abstract

Tensegrity structure, which consists of cables and struts, are expected to be used as systems for cosmological, foldable and/or inflatable structures. The equilibrium shape of the tensegrity can be determined by iteration of solving the tangent stiffness equation. Here, it is rational to use the truss elements for struts and the axial force line elements for cables. In this study, a way to find the shapes of "extensive tensegrity", which counts their self-weight and permits support conditions of statically indeterminate. As results of numerical examples, even the case where many solutions exist under the same loading conditions like the tower tensegrity, expected one equilibrium solution can be obtained, and its equilibrium path can be drawn.