A New Method to Obtain and Define Regular Polyhedra

Double-layer tensegrity grids (DLTG) are spatial reticulated systems based on tensegrity principles, which have been studied in detail over recent years. The most important investigations have been carried out focusing on a short list of tensegrity grids. This paper explains with real examples how to use Rot-Umbela Manipulations, a unique technique developed for generating innovative typologies of tensegrity structures. It is applied to two already existing tensegrity grids in order to obtain two new DLTGs. Their analysis permits us to identify, inside these novel grids, the modules that compose them which were unknown until now. A brief description of these components is provided, as well as some information about their static analysis, e.g. states of self-stress and internal mechanisms. These novel modules belong to a family, all of them with similar characteristics in terms of geometry and topology, and can be used to generate a wide catalogue of DLTGs. Some examples of new grids are presented, describing the methodology on how to obtain many more models for other designers interested in creating and studying innovative DLTGs.

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Innovative Families of Double-Layer Tensegrity Grids: Quastruts and Sixstruts

Jáuregui

Otero

Arias

et al. 2013

J. Struct. Eng.

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Novel Technique for Obtaining Double-Layer Tensegrity Grids

Jáuregui

Arias

Otero

et al. 2012

International Journal of Space Structures

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Double-layer tensegrity grids (DLTGs) may be defined as tensegrity spatial systems containing two parallel horizontal networks of members in tension forming the top and bottom layers, whose nodes are linked by vertical and/or inclined bracing members in compression and/or tension.In this paper, a new approach is described. Conventional double-layer grids (DLGs) are composed of three layers: top, bottom and bracing members. This paper shows new rules for generating original DLGs following a recent methodology for their composition, from the mosaic of the bracing members and additional laws. Finally, from them, a new technique, known as Rot-Umbela manipulation, is applied to obtain their tensegrity form, opening and endless catalogue of DLTGs.

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A New Method to Obtain and Define Regular Polyhedra

Cited by 2 publications

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Innovative Families of Double-Layer Tensegrity Grids: Quastruts and Sixstruts

Innovative Families of Double-Layer Tensegrity Grids: Quastruts and Sixstruts

Novel Technique for Obtaining Double-Layer Tensegrity Grids

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