Overview on the Form-Finding of Tensegrity Structure

  • Abstract
  • Keywords
  • References
  • PDF
  • Abstract

    This paper presents an overview of the previous research on the form finding structures which include tensegrity and biotensegrity structure. Tensegrity systems have been widely used for many applications due to the stability and flexibility of the structures. On technologies era nowadays, a stable structure is needed to implement for new developments especially robotics and machineries. Therefore, the importance of finding the shape or design configuration is to ensure it is in self-equilibrium which able to support itself. In order to build new structures which lies on general requirement, previous researchers have proposed several form-finding methods for instance by using force density method, advance force density method, finite element method, dynamic relaxation method, genetic algorithm, novel linear approach and Monte Carlo method. What kind of stable structures can be produced and how efficient the structures by using those methods? In this paper, understanding on the form-finding methods and various numerical examples of form-finding conducted in previous studies are presented to enhance researchers’ knowledge on the form-finding of tensegrity structures.



  • Keywords

    tensegrity, biotensegrity, form-finding, geometry, equilibrium.

  • References

      [1] K. D. Snelson, “Continuous tension, discontinuous compression structures,” 1965.

      [2] W. J. Lewis, Tension structures: form and behaviour. Thomas Telford, 2003.

      [3] A. G. Tibert and S. Pellegrino, “Review of Form-Finding Methods for Tensegrity Structures,” Int. J. Sp. Struct., vol. 18, no. 4, pp. 209–223, 2003.

      [4] R. Motro, “Tensegrity systems: the state of the art,” Int. J. Sp. Struct., vol. 7, no. 2, pp. 75–83, 1992.

      [5] A. Szcześniak and A. Stolarski, “Dynamic Relaxation Method with Critical Damping for Nonlinear Analysis of Reinforced Concrete Elements.”

      [6] Y. Li, X. Q. Feng, Y. P. Cao, and H. Gao, “A Monte Carlo form-finding method for large scale regular and irregular tensegrity structures,” Int. J. Solids Struct., 2010.

      [7] J. Zhang and M. Ohsaki, “Form-Finding of Complex Tengrity Structures By Dynamic Relaxation,” vol. 81, no. 719, pp. 71–77, 2016.

      [8] N. Metropolis and S. Ulam, “The Monte Carlo Method,” J. Am. Stat. Assoc., vol. 44, no. 247, pp. 335–341, 1949.

      [9] M. Pagitz and J. M. Mirats Tur, “Finite element based form-finding algorithm for tensegrity structures,” Int. J. Solids Struct., vol. 46, no. 17, pp. 3235–3240, 2009.

      [10] J. H. Holland, Adaptation in natural and artificial systems: an introductory analysis with applications to biology, control, and artificial intelligence. MIT press, 1992.

      [11] C. Paul, H. Lipson, and F. V. Cuevas, “Evolutionary development of tensegrity structures.,” Biosystems., vol. 101, no. 3, pp. 167–76, 2010.

      [12] S. Juan Hernandez and J. M. Mirats Tur, “IRI - Tensegrity frameworks: static analysis review,” no. February 2009.

      [13] X. Xian and Y. Luo, “Form-finding of nonregular tensegrities using a genetic algorithm,” Mech. Res. Commun. - MECH RES COMMUN, vol. 37, pp. 85–91, 2010.

      [14] K. Koohestani, “Form-finding of tensegrity structures via genetic algorithm,” Int. J. Solids Struct., vol. 49, no. 5, pp. 739–747, 2012.

      [15] M. Yamamoto, B. S. Gan, K. Fujita, and J. Kurokawa, “A genetic algorithm based form-finding for tensegrity structure,” Procedia Eng., vol. 14, pp. 2949–2956, 2011.

      [16] K. Linkwitz and H. J. Schek, “Einige Bemerkungen zur Berechnung von vorgespannten Seilnetzkonstruktionen,” Arch. Appl. Mech., vol. 40, pp. 145–158, 1971.

      [17] J. Y. Zhang and M. Ohsaki, “Adaptive force density method for form-finding problem of tensegrity structures,” Int. J. Solids Struct., vol. 43, no. 18–19, pp. 5658–5673, 2006.

      [18] Q. Li, R. E. Skelton, and J. Yan, “Energy optimization of deployable tensegrity structure,” Proc. 30th Chinese Control Conf., no. 3, pp. 2146–2151, 2011.

      [19] M. Moghaddas and K. K. Choong, “A novel practical approach for the form finding of the prism tensegrity,” pp. 1360–1370, 2016.

      [20] G. G. Estrada, H. J. Bungartz, and C. Mohrdieck, “Numerical form-finding of tensegrity structures,” Int. J. Solids Struct., vol. 43, no. 22–23, pp. 6855–6868, 2006.

      [21] M. Masic, R. E. Skelton, and P. E. Gill, “Algebraic tensegrity form-finding,” Int. J. Solids Struct., vol. 42, no. 16–17, pp. 4833–4858, 2005.

      [22] C.L. Oh, K.K. Choong, T. Nishimura, S.W. Lee, “Self-equilibrated Tapered Three-stage Tensegrity Mast,” Journal of Physics: Conference Series, vol. 1005, no. 1, p. 012039, 2018.

      [23] K. Koohestani and S. D. Guest, “A new approach to the analytical and numerical form-finding of tensegrity structures,” Int. J. Solids Struct., vol. 50, no. 19, pp. 2995–3007, 2013.

      [24] S. M. Levin, “Putting the shoulder to the wheel: A new biomechanical model for the shoulder girdle,” Biomed. Sci. Instrum., vol. 33, no. February 1997, pp. 412–417, 1997.

      [25] T. Flemons, “Biotensegrity Model,” Intension Designs. [Online]. Available: http://intensiondesigns.ca/models/. [Accessed: 30-Aug-2018].

      [26] D. E. Ingber, “Tensegrity I. Cell structure and hierarchical systems biology,” J. Cell Sci., vol. 116, no. 7, pp. 1157–1173, 2003.

      [27] C.L. Oh, K.K. Choong, T. Nishimura, J.Y, Kim, “Form-finding of Human Spine Inspired Biotensegrity,” Proceedings of IASS Annual Symposia, vol. 2016, no. 21, pp. 1-10, 2016.




Article ID: 29078
DOI: 10.14419/ijet.v7i3.36.29078

Copyright © 2012-2015 Science Publishing Corporation Inc. All rights reserved.