Engineering Transactions, 64, 4, pp. 441–448, 2016

Self-Equilibrium Geometry of the Class-Theta Tetrahedral Tensegrity Module

Zbigniew Wojciech BIENIEK
Rzeszów University of Technology

Tensegrity structures are mechanically stable because of the way in which they balance and distribute the mechanical stress, which is not principally a result of the strength of the individual components. This category of structures has the property that, even before the application of any external load, the members of the structure are already in tension or compression, that is, they are prestressed. There are different methods to find the equilibrium state attained by a tensegrity system for a given connectivity of the constituent cables and bars. In this paper, the tensegrity tetrahedron, characteristically shaped and free-standing, i.e., with no external loads, is investigated.
Keywords: analytical modeling; structural system; tensegrity
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Copyright © Polish Academy of Sciences & Institute of Fundamental Technological Research (IPPT PAN).


Bieniek Z., Space-filling tetrahedra, Symmetry: Art and Science, The Journal of the International Society for the Interdisciplinary Study of Symmetry, Special Issue for the Conference of ISIS Symmetry Wrocław – Kraków, Poland, Lugosi G., Nagy D. (eds.), September 14–19, 2009/1–4, pp. 44-47, 2009.

Skelton R.E., Helton J.W., Adhikari R., Pinaud J.P., Chan W., An introduction to the mechanics of tensegrity structures, dynamics and control of aerospace systems, University of California, San Diego, CRC Press LLC, 2002.

Skelton R.E., De Oliveira M.C., Tensegrity systems, Springer, 2009.

Bieniek Z., Chosen ideas of geometrical shaping of modular tensegrity structures, Structural Engineers World Congress, Como, Italy, Congress paper on CD, 2011.

Bieniek Z., Examples of cable-bar modular structures based on the Class-Theta tensegrity systems, Journal of Civil Engineering and Architecture, 9: 1452–1462, 2015.

Bieniek Z., A mathematical model of the Class Theta tetrahedral tensegrity module, Lightweight Structures in Civil Engineering – Contemporary Problems, XXI LSCE, Local Seminar of IASS Polish Chapter, Tarczewski R. and Zbigniew Bieniek Z. (eds.), Rzeszów University of Technology, pp. 9–16, 2015.

DOI: 10.24423/engtrans.726.2016