Topological design of the octahedron tensegrity family

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URI: http://hdl.handle.net/10498/26578
DOI: 10.1016/j.engstruct.2022.114211
ISSN: 0141-0296
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2022-05Department
Ingeniería Industrial e Ingeniería CivilSource
Engineering Structures 259 (2022) 114211Abstract
Tensegrity structures have developed greatly in recent years due to their unique mechanical and mathematical
properties. In this work, the topology of the Octahedron family is presented. New tensegrity structures that
belong to this family are defined based on their topology. As an example, the eleven-time-expanded octahedron is
shown, a super-stable tensegrity formed by 12,288 nodes, 6,144 struts, and 24,576 cables (the largest superstable
tensegrity reported in the literature in terms of number of nodes, cables, and struts so far). The values
of the force:length ratios which satisfy the super-stability conditions have also been determined based on the
topology of the Octahedron family. Consequently, the computational cost of the process of determining a suitable
prestress state and its corresponding equilibrium shape (a process called form-finding) is significantly reduced.
The members of the Octahedron family could have promising engineering and bioengineering applications.
Subjects
Tensegrity; Octahedron family; Analytical form-finding; Force density methodCollections
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