Total views : 341
Form-Finding of Tensegrity Structures based on Force Density Method
Background/Objectives: Determining equilibrium configuration of a tensegrity structure is known as form-finding. This paper critically reviews various form-finding techniques based on force density method. Methods/ Statistical Analysis: The most appropriate method out of all the form-finding methods, to ascertain new formation of tensegrity structures is Force density method. The techniques based on Force density method such as Advanced form-finding method, Adaptive force density method, Form-finding via Genetic algorithm and Algebraic tensegrity form-finding are reviewed in detail along with scope, limitation and suitability of each method. Findings: This paper lists out the input and output parameters of each technique and comparing the effectiveness of each. Most of these methods require only type of the member (tension or compression) and topology of the tensegrity structure provided by connectivity matrix as initial parameters. Formfinding of regular shaped structures such as cable domes is best performed by Advanced form-finding method. Adaptive form-finding method is found to be efficient for irregular shaped structures and also to search novel configurations. Form finding by means of genetic algorithm provides solutions for regular shaped tensegrity structures. Algebraic method is found to be highly efficient and automated general method among all the form-finding methods discussed in this paper. A structure’s evolving geometry can be better regulated by this method. Applications/ Improvements: This paper presents the techniques which require minimum initial parameters for form-finding of tensegrity structures which also helps in choice of methods based on known parameters of the structure.
Eigen values, Force Density, Form-Finding, New Configuration, Tensegrity.
- Fuller RB. Synergetics, explorations in the geometry of thinking. London: Macmillan Publishing Co. Inc, 1975.
- Bradshaw R, Campbell D, Gargari M, Mirmiran A, Tripeny P. Special Structures: Past, Present, and Future. J Struct Eng. 2002; 128(6):691–709.
- Geiger Stefaniuk A, Chen D. The Design and Construction of Two Cable Domes for the Korean Olympics. In: Shells, Membrane and Space frames. Proceedings of IASS Symposium; 1986; Osaka. 1986; 2:256–72.
- Gossen PA, Chen D, Mikhlin E. The First Rigidly Clad “Tensegrity” type Dome, The Crown Coliseum, Fayetteville, North Carolina. In: Proceedings of International Congress IASS-ICSS 1998; Moscow, Russia: Spatial structures in New and Renovation Projects of Building and Construction; 1998; 2:477–84.
- Castro G, Levy MP. Analysis of the Georgia Dome Cable Roof. In: Goodno BJ, Wright JR, editors. Proceedings of the Eighth Conference of Computing in Civil Engineering and Geographic Information Systems Symposium, ASCE, Dallas, Texas. 1992 Jun 7–9.
- Melaragno M. Tensegrities for skeletal domes: The Georgia Dome; A case study. Periodica polytechnica ser. Architecture.1993; 37(1-4):73–9.
- Tibert. Deployable Tensegrity structures for Space applications. [Doctoral Thesis]. Stockholm: The Royal Institute of Technology (KTH), 2002.
- Tibert AG, Pellegrino S. Review of form finding method of tensegrity structures. Int J Space Struct. 2003; 18(4):209–23.
- Scheck HJ. The Force Density Method for Form-finding and Computation of General Networks. Comput Methods in Appl Mech Eng. 1974; 3:115–34.
- Tran HC, Lee J. Advanced Form-finding of Tensegrity Structures. Comput Struct. 2010; 88:237–46.
- Tran HC, Lee J. Advanced form finding for cable-strut structures. Int J Solids Struct 2007; 47:1785–94.
- Lee, Tran HC, Lee K. Advanced Form-Finding for Cable Dome Structures. In: Proceedings of the International Association for Shell and Spatial Structures (IASS) Symposium; 2009; Valencia, 2009. p. 2166–27.
- Zhang JY, Ohsaki M. Adaptive force density method for form-finding problem of tensegrity structures. Int J Solids Struct. 2006; 43:5658–73.
- Connelly R. Tensegrity structures: why are they stable? In: Thorpe MF. Duxbury PM, editors. Rigidity Theory and Applications. Dordrecht. Kluwer Academic Publishers; 1999. p. 47–54.
- Vassart. Motro R. Multiparametered formfinding method: application to tensegrity systems. Int J Space Struct. 1999; 14(2):147–54.
- Pellegrino S. Structural Computation with Singular Value Decomposition of Equilibrium Matrix. Int J Solids Struct. 1993; 30(21):3025–35.
- Zhang JY, Ohsaki M. Stability conditions for Tensegrity structures. Int J Solids Struct. 2007; 44:3875–86.
- Koohestani K. Form-finding of Tensegrity Structures via Genetic Algorithm. Int J Solids Struct. 2012; 49:739–47.
- Yamamoto M, Gan BS. Fujita K. Kurokawa J. A Genetic Algorithm based form-finding for Tensegrity structure. Procedia Eng. 2011; 14:2949–56.
- Biondini F, Malerba PG, Quagliaroli M. Structural Optimization of Cable Systems by Genetic Algorithms. The 2011 World Congress on Advances in Structural Engineering and Mechanics; 2011 September 18-22; Seoul, Korea. 2011. p. 2059–76.
- Masic M, Skeleton RE, Gill PE. Algebraic tensegrity form-finding. Int J Solids Struct. 2005; 42:4833–58.
- Estrada GG, Bungartz HJ, Mohrdieck C. Numerical form-finding of Tensegrity Structures. Int J Solids Struct. 2006; 43:6855–68.
- Koohestani K. Guest SD. A new approach to the analytical and numerical form-finding of tensegrity structures. Int J Solids Struct. 2013; 50: 2995–3007.
- Immanuel G. Kharthi K. Structures for Sports Centre. Indian J Sci Technol. 2014; 7(S5):10–5.
This work is licensed under a Creative Commons Attribution 3.0 License.