Skip to main content
Log in

Constructing large-scale tensegrity structures with bar–bar connection using prismatic elementary cells

  • Special
  • Published:
Archive of Applied Mechanics Aims and scope Submit manuscript

Abstract

As a novel type of light-weight and reticulated structures, tensegrities have found many technologically important applications. In this paper, a facile method is developed to construct a class of large-scale tensegrities consisting of bar–bar connection using prismatic elementary cells. We tune the orientation of the structural axis of each cell by the affine transformation technique. Then, the cells can be assembled easily in any directions required by the structural design. The method proposed here allows us to construct various types of large-scale tensegrity structures satisfying the demands of sizes and topology. A number of representative examples are provided, including straight and curved beams, plates, shells, and three-dimensional large-scale tensegrities.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Motro R.: Tensegrity: Structural Systems for the Future. Butterworth-Heinemann, London (2003)

    Google Scholar 

  2. Wang B.B.: Free-Standing Tension Structures: From Tensegrity Systems to Cable-Strut Systems. Taylor & Francis Group, London and New York (2004)

    Google Scholar 

  3. Feng X.Q., Li Y., Cao Y.P., Yu S.W., Gu Y.T.: Design methods of rhombic tensegrity structures. Acta Mech. Sin. 26, 559–565 (2010)

    Article  MATH  Google Scholar 

  4. Snelson, K.D.: Continuous tension, discontinuous compression structures. United States Patent 3169611 (1965)

  5. Fuller, R.B.: Tensile-integrity structures. United States Patent 3063521 (1962)

  6. Emmerich, D.: Constructions de reseaux autotendantes. French Patent 1377290 (1963)

  7. Pugh A.: An Introduction to Tensegrity. University of California Press, Berkely (1976)

    Google Scholar 

  8. Kebiche K., Kazi-Aoual M.N., Motro R.: Geometrical non-linear analysis of tensegrity systems. Eng. Struct. 21, 864–876 (1999)

    Article  Google Scholar 

  9. Korkmaz S., Ali N.B.H., Smith I.F.C.: Configuration of control system for damage tolerance of a tensegrity bridge. Adv. Eng. Inform. 26, 145–155 (2012)

    Article  Google Scholar 

  10. Hanaor A., Liao M.K.: Double-layer tensegrity grids: static load response. Part I: analytical study. J. Struct. Eng. ASCE 117, 1660–1674 (1991)

    Article  Google Scholar 

  11. Quirant J., Kazi-Aoual M.N., Motro R.: Designing tensegrity systems: the case of a double layer grid. Eng. Struct. 25, 1121–1130 (2003)

    Article  Google Scholar 

  12. Skelton R.E., de Oliveira M.C.: Tensegrity Systems. Springer, Dordrecht (2009)

    MATH  Google Scholar 

  13. Li Y., Feng X.Q., Cao Y.P., Gao H.J.: Constructing tensegrity structures from one-bar elementary cells. Proc. R. Soc. A 466, 45–61 (2010)

    Article  MathSciNet  MATH  Google Scholar 

  14. Li Y., Feng X.Q., Cao Y.P., Gao H.J.: A Monte Carlo form-finding method for large scale regular and irregular tensegrity structures. Int. J. Solids Struct. 47, 1888–1898 (2010)

    Article  MATH  Google Scholar 

  15. Zhang L.Y., Li Y., Cao Y.P., Feng X.Q.: Stiffness matrix based form-finding method of tensegrity structures. Eng. Struct. 58, 36–48 (2014)

    Article  Google Scholar 

  16. Connelly R., Terrell M.: Globally rigid symmetric tensegrities. Struct. Topol. 21, 59–79 (1995)

    MathSciNet  MATH  Google Scholar 

  17. Schenk M., Guest S.D., Herder J.L.: Zero stiffness tensegrity structures. Int. J. Solids Struct. 44, 6569–6583 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  18. Zhang J.Y., Ohsaki M.: Stability conditions for tensegrity structures. Int. J. Solids Struct. 44, 3875–3886 (2007)

    Article  MathSciNet  MATH  Google Scholar 

  19. Zhang L.Y., Li Y., Cao Y.P., Feng X.Q., Gao H.J.: A numerical method for simulating nonlinear mechanical responses of tensegrity structures under large deformations. J. Appl. Mech. Trans. ASME 80, 061018 (2013)

    Article  Google Scholar 

  20. Zhang J.Y., Ohsaki M.: Self-equilibrium and stability of regular truncated tetrahedral tensegrity structures. J. Mech. Phys. Solids 60, 1757–1770 (2012)

    Article  MathSciNet  MATH  Google Scholar 

  21. Zhang L.Y., Li Y., Cao Y.P., Feng X.Q.: A unified solution for self-equilibrium and super-stability of rhombic truncated regular polyhedral tensegrities. Int. J. Solids Struct. 50, 234–245 (2013)

    Article  Google Scholar 

  22. Zhang L.Y., Li Y., Cao Y.P., Feng X.Q., Gao H.J.: Self-equilibrium and super-stability of truncated regular polyhedral tensegrity structures: a unified analytical solution. Proc. R. Soc. A 468, 3323–3347 (2012)

    Article  MathSciNet  Google Scholar 

  23. Zhang J.Y., Guest S.D., Ohsaki M.: Symmetric prismatic tensegrity structures: part I. Configuration and stability. Int. J. Solids Struct. 46, 1–14 (2009)

    Article  MATH  Google Scholar 

  24. Rhode-Barbarigos L., Jain H., Kripakaran P., Smith I.F.C.: Design of tensegrity structures using parametric analysis and stochastic search. Eng. Comput. 26, 193–203 (2010)

    Article  Google Scholar 

  25. Tibert, A.G., Pellegrino, S.: Deployable tensegrity masts. In: Proceedings of 44th AIAA/ASME/ASCE/AHS: Structures, Structural Dynamics, and Materials, American Institute of Aeronautics and Astronautics, Norfolk, USA AIAA-2003-1978 (2003)

  26. Moored K.W., Kemp T.H., Houle N.E., Bart-Smith H.: Analytical predictions, optimization, and design of a tensegrity-based artificial pectoral fin. Int. J. Solids Struct. 48, 3142–3159 (2011)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Xi-Qiao Feng.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Zhang, LY., Zhao, HP. & Feng, XQ. Constructing large-scale tensegrity structures with bar–bar connection using prismatic elementary cells. Arch Appl Mech 85, 383–394 (2015). https://doi.org/10.1007/s00419-014-0958-3

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00419-014-0958-3

Keywords

Navigation