, Volume 48, Issue 10, pp 2367–2389 | Cite as

Experimental and numerical study on the self-stress design of tensegrity systems



Tensegrity systems as kinematically and statically indeterminate pin-jointed systems are characterized by mechanisms and self-stress states. Unlike the other reticulated systems, in tensegrity systems, unilateral behavior of cables causes some problems in determining the basis of compatible self-stress states. At the present study, self-stress design of tensegrity systems is presented. Experimental study on two 3×3×0.7 m tensegrity grids was conducted to verify the accuracy and validity of the numerical method. Using supporting constraints, an effective method for the implementation of self-stress states in a much reduced number of stages is proposed and calibrated. Considering the results of the present study, the self-stress design of these systems can be improved to obtain specific desired behavior.


Tensegrity systems Self-stress design Force density method Tension setting 


  1. 1.
    Skelton RE, de Oliveira MC (2009) Tensegrity systems. Springer, New York MATHGoogle Scholar
  2. 2.
    Motro R (2011) Structural morphology of tensegrity systems. Meccanica 46:27–40 CrossRefMATHGoogle Scholar
  3. 3.
    Motro R (2004) Tensegrity: structural systems for the future. Kogan Page, London Google Scholar
  4. 4.
    Tibert A, Pellegrino S (2003) Review of form-finding methods for tensegrity structures. Int J Space Struct 18(4):209–223 CrossRefGoogle Scholar
  5. 5.
    Juan S, Tur JM (2008) Tensegrity frameworks: static analysis review. Mech Mach Theory 43:859–881 CrossRefMATHGoogle Scholar
  6. 6.
    Sultan C, Corless M, Skelton R (2001) The prestressability problem of tensegrity structures: some analytical solutions. Int J Solids Struct 38:5223–5252 CrossRefMATHGoogle Scholar
  7. 7.
    Zhang J, Ohsaki M, Kanno Y (2006) A direct approach to design of geometry and forces of tensegrity systems. Int J Solids Struct 43(7–8):2260–2278 CrossRefMATHGoogle Scholar
  8. 8.
    Masic M, Skelton R, Gill P (2005) Algebraic tensegrity form-finding. Int J Solids Struct 42:4833–4858 MathSciNetCrossRefMATHGoogle Scholar
  9. 9.
    Masic M, Skelton R, Gill P (2006) Optimization of tensegrity structures. Int J Solids Struct 43:4687–4703 CrossRefMATHGoogle Scholar
  10. 10.
    Tran HC, Lee J (2010) Advanced form-finding of tensegrity structures. Comput Struct 88(3–4):237–246 CrossRefGoogle Scholar
  11. 11.
    Averseng J, Crosnier B (2004) Prestressing tensegrity systems—application to multiple self-stress state structures. Int J Struct Stab Dyn 4(4):543–557 CrossRefGoogle Scholar
  12. 12.
    Quirant J, Kazi-Aoual MN, Laporte R (2003) Tensegrity systems: the application of linear programmation in search of compatible selfstress states. J Int Assoc Shell Spat Struct 4:33–50 Google Scholar
  13. 13.
    Tran HC, Lee J (2010) Initial self-stress design of tensegrity grid structures. Comput Struct 88:558–566 CrossRefGoogle Scholar
  14. 14.
    Abedi K, Shekastehband B (2008) Static stability behaviour of plane double-layer tensegrity structures. Int J Space Struct 23:89–102 CrossRefGoogle Scholar
  15. 15.
    Shekastehband B, Abedi K, Chenaghlou MR (2011) Sensitivity analysis of tensegrity systems due to member loss. J Constr Steel Res 67:1325–1340 CrossRefGoogle Scholar
  16. 16.
    Feng F, Hui-huan M, Zheng-gang C, Shi-zhao S (2010) Direct estimation of critical load for single-layer reticulated domes with semi-rigid joints. Int J Space Struct 25(1):15–24 CrossRefGoogle Scholar
  17. 17.
    Quirant J, Kazi-Aoual MN, Motro R (2003) Designing tensegrity systems: the case of a double layer grid. Eng Struct 25:1121–1130 CrossRefGoogle Scholar
  18. 18.
    Shekastehband B, Abedi K, Dianat N, Chenaghlou MR (2012) Experimental and numerical studies on the collapse behavior of tensegrity systems considering cable rupture and strut collapse with snap-through. Int J Non-Linear Mech 47:751–768 CrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2013

Authors and Affiliations

  1. 1.Department of Civil EngineeringUrmia University of TechnologyUrmiaIran
  2. 2.Department of Civil EngineeringSahand University of TechnologyTabrizIran
  3. 3.Structural Laboratory of Sazehaye Fazaei IranSafira CompanyTehranIran

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