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IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century


IASS Symposium 2016

SESSION: Tension & Membrane Structures

Double-Layer ellipsoidal tensegrity structures: Geometric investigation and parametric representation

< Table of Contents for Tension & Membrane Structures
  • Proceedings Name: IASS 2016 Tokyo Symposium: Spatial Structures in the 21st Century
  • ISSN: (Electronic Version) 2518-6582
  • Session: Tension & Membrane Structures
  • Pages: 10
  • Title: Double-Layer ellipsoidal tensegrity structures: Geometric investigation and parametric representation
  • Author(s): Katherine Liapi, Adreana Papantoniou, Chysostomos Nousias
  • Keywords: double layer tensegrity structures, tensegrity units of square base, Mercator projection, spherical surface, ellipsoid, square pattern, parametric design, algorithmic design
Abstract
The paper presents a method that renders possible the development of double layer ellipsoidal tensegrity structures composed of square-base units. Existing methods for the development of single or double curvature tensegrity structures can be only used to generate networks of vaulted, spherical and spiral geometry composed of identical tensegrity units. To generate the ellipsoidal geometry the investigation of the distribution of a four- square pattern, that represents the lower level of an assembly of four units, not necessarily identical, on an ellipsoid has been first addressed. An application of the Mecrator projection technique has been used for this. At a subsequent stage, the development of the second layer of the ellipsoidal tensegrity structure has been investigated. A parametric method that uses an algorithm that generates the distribution of the square based tensegrity units on the surface of a sphere first, and of an ellipsoid afterwards, has also been developed and discussed in the paper.

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