Abstract
For a tensegrity structure with high level of symmetry, its equilibrium analysis can be significantly simplified by considering the representative nodes only. This makes presentation of analytical conditions possible. In this chapter, we study several classes of symmetric structures, including the X-cross structures with four-fold rotational symmetry, the prismatic as well as star-shaped structures with dihedral symmetry, and the regular truncated tetrahedral structures with tetrahedral symmetry. These symmetric structures will be revisited in Chaps. 6–8 for stability investigation in a more sophisticated way.
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Notes
- 1.
More details about group and its representation theory can be found in Appendix D.
References
Fuller, R. B. (1962). Tensile-integrity structures. U.S. Patent No. 3,063,521, November 1962.
Li, Y., Feng, X.-Q., Cao, Y.-P., & Gao, H. J. (2010). A Monte Carlo form-finding method for large scale regular and irregular tensegrity structures. International Journal of Solids and Structures, 47(14–15), 1888–1898.
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Zhang, J.Y., Ohsaki, M. (2015). Self-equilibrium Analysis by Symmetry. In: Tensegrity Structures. Mathematics for Industry, vol 6. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54813-3_3
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DOI: https://doi.org/10.1007/978-4-431-54813-3_3
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