Form-Finding of Tensegrity Model with Triangular Cells


  • Nur Farizah Filzah Naing
  • Oh Chai Lian
  • Ilyani Akmar Abu Bakar
  • Mohd Raizamzamani Md Zain





Tensegrity, form-finding, cables, stuts, self-equilibrium.


Tensegrity structures is a light-weight structure compared to concrete structures that are heavy and rigid in shape. The studies on form-finding for tensegrity configuration are still ongoing and have been extensively conducted. Additionally, many proposed tensegrity structures have not been built for real applications. This study aims to determine potential self-equilibrated configurations of three-stage Class I tensegrity model assemblage with triangular cells, which may be applied as deployable towers. The form-finding methodology involves phases in establishment of desired form and formulation for the self-equilibrated state. The system of equilibrium equations was solved by Moore-Penrose generalized inverse method.  A range of twist angles 10o – 50o for triangular cells was investigated in the form-finding process.  It was found that the form-finding method via changing of twist angles has successfully search self-equilibrated tensegrity models.




[1] Jáuregui, V. G. Tensegrity structures and their application to architecture: PubliCan, ediciones de la Universidad de Cantabria, (2010).

[2] Pugh, A. An introduction to tensegrity. Univ of California Press. (1976).

[3] Snelson, K. “The art of tensegrityâ€, International journal of space structures, Vol.27, No.2-3, (2012), pp. 71-80.

[4] Tibert, A., & Pellegrino, S. “Review of form-finding methods for tensegrity structuresâ€, International journal of space structures, Vol.18, No.4, (2003), pp.209-223.

[5] Ohsaki, M., & Zhang, J. “Nonlinear programming approach to form-finding and folding analysis of tensegrity structures using fictitious material propertiesâ€, International Journal of Solids and Structures, Vol.69, (2015). pp.1-10.

[6] Gan, B. S., Zhang, J., Nguyen, D. & Nouchi, E. “Node-based Genetic Form-finding of Irregular Tensegrity Structureâ€, Computers and Structures. Vol.159, (2015), pp. 61-73.

[7] Lee, S., Lee, J. & Kang, J. A. “Genetic Algorithm Based Form-finding of Tensegrity Structures with Multiple Self-stress Statesâ€, Journal of Asian Architecture and Building Engineering. Vol.162, No.1, (2016), pp. 155-162.

[8] Oh, C. L., Choong, K. K., Nishimura, T., & Lee, S. W. “Self-equilibrated Tapered Three-stage Tensegrity Mastâ€, Journal of Physics: Conference Series, Vol. 1005, No. 1, (2018), pp. 012039.

[9] Oh, C. L., Choong, K. K., Nishimura, T., Kim, J. Y., & Zain, M. R. “Tapered three-stage deployable tensegrity modelâ€, Journal of Physics: Conference Series, Vol.1130, No. 1, (2018), pp. 012031.

[10] Oh, C. L., Choong, K. K., Nishimura, T. & Kim, J.-Y. “Form-finding of Human Spine Inspired Biotensegrityâ€, Proceedings of the IASS Annual Symposium 2016, 2016 Tokyo.

View Full Article:

How to Cite

Farizah Filzah Naing, N., Chai Lian, O., Akmar Abu Bakar, I., & Raizamzamani Md Zain, M. (2018). Form-Finding of Tensegrity Model with Triangular Cells. International Journal of Engineering & Technology, 7(3.36), 137–142.
Received 2019-05-01
Accepted 2019-05-01
Published 2018-05-06