Manuel Alejandro Fernández Ruiz, Luisa María Gil-Martín, Juan Francisco Carbonell Marquez, Enrique Hernández Montes
Tensegrity structures are composed by pre-stressed pin-jointed compression (struts) and tensión (cables) members that are self-equilibrated. They have had a great development in the last years owing to their ingenious forms, lightweight, deployability and controllability. A challenge related to the design of tensegrity structures is the determination of the force densities during the form-finding process that leads to a stable tensegrity. In this work, the octahedron tensegrity is used as a source of new tensegrity forms. A family of tensegrity structures is a group of them that share a common connectivity pattern. A set of force densities that achieve an equilibrium shape of tensegrities based on the octahedron family was computed analytically. Several examples are shown.
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