Abstract
This chapter presents self-equilibrium as well as super-stability conditions for star-shaped structures that have dihedral symmetry. Star-shaped tensegrity structures have the same dihedral symmetry and similar configurations to the prismatic structures studied in Chap. 6. The star-shaped structures have more infinitesimal mechanisms than prismatic structures due to the two additional (center) nodes, nevertheless, they are super-stable if certain connectivity conditions are satisfied. Moreover, some star-shaped structures that are not super-stable might be multi-stable; i.e., they may have more than one stable configuration.
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Notes
- 1.
The divisible star-shaped structures might not be physically separated into serval substructures because they share the common center nodes.
References
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Zhang, J.Y., Ohsaki, M. (2015). Star-Shaped Structures of Dihedral Symmetry. In: Tensegrity Structures. Mathematics for Industry, vol 6. Springer, Tokyo. https://doi.org/10.1007/978-4-431-54813-3_7
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DOI: https://doi.org/10.1007/978-4-431-54813-3_7
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