Skip to main content
Log in

Stability of an elastic tensegrity structure

  • Published:
Acta Mechanica Aims and scope Submit manuscript

Summary

A T-3 tensegrity structure composed by three struts and six elastic cables is considered. Adopting delay convention, stability of this model is studied. Two kinds of simple instabilities are investigated. The first is concerned with the global (overall) instability of the model and the second with the local-Euler-buckling of the struts. Compound instabilities are also studied. Critical conditions are found and post-critical behavior is described.

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

  • R. B. Fuller (1961) ArticleTitleTensegrity Portfolio Artnews Annual 4 112–127

    Google Scholar 

  • R. Connelly A. Back (1998) ArticleTitleMathematics and tensegrity Am. Scientist 86 142–151 Occurrence Handle10.1511/1998.2.142

    Article  Google Scholar 

  • Williams W. O.: A primer on the mechanics of tensegrity structures (2003).

  • R. Motro (1992) ArticleTitleTensegrity systems: the state of art Int. J. Space Struct. 7 IssueID2 75–83

    Google Scholar 

  • D. E. Ingber (1993) ArticleTitleCellular tensegrity defining new rules of biological design that govern the cytoskeleton J. Cell. Sci. 104 613–627 Occurrence Handle8314865

    PubMed  Google Scholar 

  • D. E. Ingber (1998) ArticleTitleThe architecture of life Scientific American 248 IssueID1 75–83

    Google Scholar 

  • M. F. Coughlin D. Stamenovic (1997) ArticleTitleA tensegrity structure with buckling compression elements application to cell mechanics ASME J. Appl. Mech. 64 480–486

    Google Scholar 

  • H. Kenner (1976) Geodesic math and how to use it University of California Press Berkeley

    Google Scholar 

  • I. J. Oppenheim W. O. Williams (1997) ArticleTitleTensegrity prisms as adaptive structures Adaptive Struct. Mater. Sys. (ASME) 54 113–120

    Google Scholar 

  • I. J. Oppenheim W. O. Williams (2002) ArticleTitleGeometric effects in an elastic tensegrity structure J Elasticity 59 51–65 Occurrence Handle10.1023/A:1011092811824

    Article  Google Scholar 

  • I. J. Oppenheim W. O. Williams (2001) ArticleTitleVibration of an elastic tensegrity structure Eur. J. Mech. A 20 1023–1031 Occurrence Handle10.1016/S0997-7538(01)01181-0

    Article  Google Scholar 

  • R. Gilmore (1981) Catastrophe theory for scientists and engineers Wiley New York

    Google Scholar 

  • K. Lazopoulos (1994) Location of bifurcation points and branching analysis in generalized coordinates M. Papadrakis B. H. V. Topping (Eds) Advances in computational analysis Civil. Comp Edinburg 41–44

    Google Scholar 

  • Lazopoulos K, Markatis S: Compound branching of elastic systems. Comp. Meth. Appl. Mech. (1995).

  • J. M. T. Thompson G. W. Hunt (1973) A general theory for elastic stability Wiley London

    Google Scholar 

  • H. Troger A. Steindl (1991) Nonlinear stability and bifurcation theory Springer Wien

    Google Scholar 

  • J. L. Ericksen (1991) Introduction to the thermodynamics of solids Chapman & Hall London

    Google Scholar 

  • M. Pitteri G. Zanzotto (2003) Continuum models for phase transitions and twinning in crystals Chapman & Hall Boca Raton

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. A. Lazopoulos.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Lazopoulos, K.A. Stability of an elastic tensegrity structure. Acta Mechanica 179, 1–10 (2005). https://doi.org/10.1007/s00707-005-0244-0

Download citation

  • Received:

  • Revised:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00707-005-0244-0

Keywords

Navigation