Optimization of tensegrity structures
This paper concerns the design of tensegrity structures with optimal
mass-to-stiffness ratio. Starting from an initial layout that defines
the largest set of allowed element connections, the procedure seeks the
topology, geometry and pre-stress of the structure that yields optimal
designs for different loading scenarios. The design constraints
include strength constraints for all elements of the structure, buckling
constraints for bars, and shape constraints. The problem formulation
accommodates different symmetry constraints for structure
parameters and shape. The static response of the structure is computed by
using the nonlinear large displacement model. The problem is cast in the
form of a nonlinear program. Examples show layouts of 2D and 3D asymmetric
and symmetric structures. The influence of the material parameters
on the optimal shape of the structure is investigated.