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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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APC_2022_029.pdf (6.973Mb)
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Author/s
Fernández Ruiz, Manuel AlejandroAuthority UCA; Hernández-Montes, Enrique; Gil-Martín, Luisa María
Date
2022-05
Department
Ingeniería Industrial e Ingeniería Civil
Source
Engineering Structures 259 (2022) 114211
Abstract
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 method
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  • Artículos Científicos [5002]
  • Articulos Científicos Ing. Ind. [35]
Attribution-NonCommercial-NoDerivatives 4.0 Internacional
This work is under a Creative Commons License Attribution-NonCommercial-NoDerivatives 4.0 Internacional

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