Second-Order Rigidity and Prestress Stability for TensegrityFrameworks
SIAM Journal on Discrete Mathematics
Automated discovery and optimization of large irregular tensegrity structures
Computers and Structures
On symmetry and non-uniqueness in exact topology optimization
Structural and Multidisciplinary Optimization
Non-uniqueness and symmetry of optimal topology of a shell for minimum compliance
Structural and Multidisciplinary Optimization
The Orbit Rigidity Matrix of a Symmetric Framework
Discrete & Computational Geometry
Some symmetry results for optimal solutions in structural optimization
Structural and Multidisciplinary Optimization
| Hi-index | 0.00 |
A tensegrity structure is a prestressed pin-jointed structure consisting of continuously connected tensile members (cables) and disjoint compressive members (struts). Many classical tensegrity structures are prestress stable, i.e., they are kinematically indeterminate but stabilized by introducing prestresses. This paper presents a procedure for generating various prestress stable tensegrity structures. This method is based on truss topology optimization and does not require connectivity relation of cables and struts of a tensegrity structure to be known in advance. Unlike the conventional form-finding methods, the locations of nodes are fixed throughout optimization. The optimization problem with the constraints expressing the definition of tensegrity structure, kinematical indeterminacy, and symmetry of configurations is formulated as a mixed integer linear programming (MILP) problem. Numerical experiments demonstrate that various tensegrity structures can be generated from one given initial structure by solving the presented MILP problems by using a few control parameters.