Minimizing the Self-weight Deflection of Tensegrity Structures

In this paper, we consider optimizing the design of kinematically indeterminate tensegrity structures. These tensegrity structures will have modes of deformation where the stiffness will scale linearly with a typical level of tension carried by the structure. These modes tend to be the softest modes of deformation, and can lead to significant deformations due to self-weight: this tends to be most noticeable for highly symmetric structures, where, for instance, significant oblation may occur if the structure is resting on a flat surface. We will explore how these deformations can be optimized through material choice. We will also consider optimal choices where, for aesthetic reasons, the compression members are slender.