Dynamics of Tensegrity Systems



Buckminister Fuller [1] coined the word tensegrity as a conjunction of the two words tension and integrity [3, 6, 10]. The artist Kenneth Snelson was the first to build a three-dimensional tensegrity structure [9], which he perfected throughout the years, such as the sculptures in Fig. 1. Tensegrity components are very simple elements, often just sticks and strings. Our interest is in engineering structures. The structures of interest have a large number of compressive parts (rods) and tensile parts (strings). On a class 1 tensegrity system, such as the sculptures in Fig. 1, there is no contact between the rigid bodies (rods). Integrity, or as we would say, stability, is provided by the network of tensile members (strings). No individual member is subject to torques even when the complete structure bends. In a class k tensegrity system, we allow as many as k rigid bodies (rods) to be in contact through ball joints. This last requirement preserves the ability of class k tensegrity systems to bend without any member experiencing torque.


Generalize Force Lagrangian Function Ball Joint Tensegrity Structure Closed Kinematic Chain 
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  1. 1.
    Fuller, R.B.: US patent 3 063 521 Tensile Integrity Structures. United States Patent Office (1959)Google Scholar
  2. 2.
    Horn, R.A., Johnson, C.R.: Matrix Analysis. Cambridge University Press, Cambridge, UK (1985)MATHGoogle Scholar
  3. 3.
    Lalvani, H.: Origins of tensegrity: views of Emmerich, Fuller and Snelson. International Journal of Space Structures 11, 27–55 (1996)Google Scholar
  4. 4.
    de Oliveira, M.C.: Dynamics of systems with rods. In: Proceedings of the 45th IEEE Conference on Decision and Control Conference, pp. 2326–2331. San Diego, CA (2006)Google Scholar
  5. 5.
    de Oliveira, M.C., Vera, C., Valdez, P., Sharma, Y., Skelton, R.E., Sung, L.A.: Network nano-mechanics of the erythrocyte membrane skeleton in equibiaxial deformation. To appear in the Biophysical Journal Google Scholar
  6. 6.
    Sadao, S.: Fuller on tensegrity. International Journal of Space Structures 11, 37–42 (1996)Google Scholar
  7. 7.
    Skelton, R.E., de Oliveira, M.C.: Tensegrity Systems. Springer, Berlin (2009). ISBN: 978-0387742410MATHGoogle Scholar
  8. 8.
    Skelton, R.E., Pinaud, J.P., Mingori, D.L.: Dynamics of the shell class of tensegrity structures. Journal of The Franklin Institute-Engineering And Applied Mathematics 338(2-3), 255–320 (2001)MATHCrossRefMathSciNetGoogle Scholar
  9. 9.
    Snelson, K.: US patent 3 169 611 Continuous Tension Discontinous Compression Structures. United States Patent Office (1965)Google Scholar
  10. 10.
    Snelson, K.: Letter to R. Motro. originally published in International Journal of Space Structures (1990). http://www.grunch.net/snelson/rmoto.html
  11. 11.
    Wroldsen, A.S.: Modelling and control of tensegrity structures. Ph.D. thesis, Department of Marine Technology, Norwegian University of Science and Technology (2007)Google Scholar
  12. 12.
    Wroldsen, A.S., de Oliveira, M.C., Skelton, R.E.: Modelling and control of non-minimal non-linear realisations of tensegrity systems. International Journal of Control 82(3), 389–407 (2009). DOI {10.1080/00207170801953094}MATHCrossRefMathSciNetGoogle Scholar

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© Springer Science+Business Media, LLC 2010

Authors and Affiliations

  • Maurício C. de Oliveira
    • 1
  • Anders S. Wroldsen
    • 2
  1. 1.Department of Mechanical and Aerospace EngineeringUniversity of California San DiegoLa JollaUSA
  2. 2.Centre for Ships and Ocean StructuresNorwegian University of Science and TechnologyTrondheimNorway

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