From graphs to tensegrity structures: geometric and symbolic approaches

  1. Orden Martín, David
  2. Guzmán Ozámiz, Miguel de
Revista:
Publicacions matematiques

ISSN: 0214-1493

Año de publicación: 2006

Volumen: 50

Número: 2

Páginas: 279-299

Tipo: Artículo

DOI: 10.5565/PUBLMAT_50206_02 DIALNET GOOGLE SCHOLAR lock_openDDD editor

Otras publicaciones en: Publicacions matematiques

Resumen

A form-finding problem for tensegrity structures is studied; given an abstract graph, we show an algorithm to provide a necessary condition for it to be the underlying graph of a tensegrity in $\mathbb{R}^d$ (typically $d=2,3$) with vertices in general position. Furthermore, for a certain class of graphs our algorithm allows to obtain necessary and sufficient conditions on the relative position of the vertices in order to underlie a tensegrity, for what we propose both a geometric and a symbolic approach.