A hybrid symmetry–PSO approach to finding the self-equilibrium configurations of prestressable pin-jointed assemblies

Y Chen, J Yan, J Feng, P Sareh - Acta Mechanica, 2020 - Springer
For pin-jointed assemblies with many members or self-stress states, the form-finding
problem using conventional methods generally involves considerable computational …

A novel method for topology design of tensegrity structures

S Lee, J Lee - Composite Structures, 2016 - Elsevier
There have been few studies on a method which can specify configurations of tensegrity
structures automatically. A novel method for topology design of the tensegrity structures by …

[BOG][B] Handbook of geometric constraint systems principles

M Sitharam, AS John, J Sidman - 2018 - taylorfrancis.com
The Handbook of Geometric Constraint Systems Principles is an entry point to the currently
used principal mathematical and computational tools and techniques of the geometric …

[HTML][HTML] Topology design of tensegrity structures via mixed integer programming

S Ehara, Y Kanno - International Journal of Solids and Structures, 2010 - Elsevier
This paper presents a numerical method for finding a tensegrity structure based on the
ground structure method. We first solve a mixed integer programming (MIP) problem which …

II–combinatorial rigidity: graphs and matroids in the theory of rigid frameworks

T Jordán - Discrete geometric analysis, 2016 - projecteuclid.org
This paper is based on the material I presented at the Research Institute for Mathematical
Sciences (RIMS), Kyoto University, in October 2012 in a series of lectures. Thus, on one …

Form-finding of tensegrity structures with multiple states of self-stress

HC Tran, J Lee - Acta mechanica, 2011 - Springer
A numerical method is presented for form-finding of tensegrity structures with multiple states
of self-stress. At the first stage, the range of feasible sets of the nodal coordinates and the …

Geometric and material nonlinear analysis of tensegrity structures

HC Tran, J Lee - Acta Mechanica Sinica, 2011 - Springer
A numerical method is presented for the large deflection in elastic analysis of tensegrity
structures including both geometric and material nonlinearities. The geometric nonlinearity …

Topology optimization of tensegrity structures under compliance constraint: a mixed integer linear programming approach

Y Kanno - Optimization and Engineering, 2013 - Springer
A tensegrity structure is a prestressed pin-jointed structure consisting of discontinuous struts
and continuous cables. For exploring new configurations of tensegrity structures, this paper …

Form-finding of tensegrity structures using double singular value decomposition

HC Tran, J Lee - Engineering with Computers, 2013 - Springer
A numerical form-finding procedure of tensegrity structures is developed. The only required
information is the topology and the types of members. The singular value decompositions of …

[HTML][HTML] A fully automatic group selection for form-finding process of truncated tetrahedral tensegrity structures via a double-loop genetic algorithm

S Lee, BS Gan, J Lee - Composites Part B: Engineering, 2016 - Elsevier
Numerous studies have developed novel form-finding methods of tensegrity structures using
various techniques. Previous works have been limited by the lack of a fully automatic …