Modelling shape of architectural structure: Elliptic hyperboloid of one sheet

Magdalena Dragović; Aleksandar Čučaković; Luka Lazarević

Magdalena Dragović University of Belgrade, Faculty of Civil Engineering, Belgrade, Serbia
Aleksandar Čučaković University of Belgrade, Faculty of Civil Engineering, Belgrade, Serbia
Luka Lazarević University of Belgrade, Faculty of Civil Engineering, Belgrade, Serbia

Keywords: elliptic hyperboloid of one sheet (ELHY), 3D geometric modelling, structures, Auto CAD application

Abstract

The combination of straight lines of constructive elements and curved contours of structural shapes is always challenging in the engineering practice. The 2nd order surface - elliptic hyperboloid of one sheet (ELHY) provides such combination. Given that in the architectural surroundings, arts, or other scientific fields ELHY is less common, than the other representatives of the same family of ruled surfaces, it is worth of attention and research. Here presented constructive geometry approach resulted in Auto CAD application for generating 3D wire-frame and triangulated net model of ELHY surface and some examples of structures - prototypes of structural shapes, designed by using ELHY fragments.

References

Antuna, J. (2010) The work of Eduardo Torroja: Research for improving the quality of construction technology, ICSA 2010 - 1st Int. Conf. on Structures & Architecture. Guimaraes, Portugal, pp. 527-528.

Boake, T. M. (2013) Diagrids the new stability system: combining architecture with engineering, AEI 2013: Building solutions for Architectural Engineering, pp. 574-583.

Casale, A., Valenti, G. M., Calvano, M., Romor, J. (2013) Surfaces: Concept, Design, Parametric Modelling and Prototyping, Nexus Network Journal, Vol. 15, No 2, pp. 271-283.

Čučaković, A., Dragović, M. (2008) Varieties of spatial setting of directricies of oblique elliptic hyperboloid, Proc. Int. Conf. MoNGeometrija, Niš, Serbia, pp. 1-13.

Dragović, M. (2013) The Constructive Procedures in the Spatial Transformations of the Surface Elliptic Hyperboloid of One Sheet, PhD Thesis, Belgrade: University of Belgrade, Faculty of Architecture.

Jadrešin-Milić, R. (2008) Pojam simetrije kao univerzalnog principa oblikovanja, Arhitektura i urbanizam, 22-23, pp. 85-97.

Moon, K. S., Connor, J. J., Fernandez, J.E. (2007) Diagrid Structural Systems for Tall Buildings-Characteristics and Methodology for Preliminary Design, Structural Design of Tall and Special Buildings, Vol.6, No 2, pp. 205- 230.

Nenadović, A. (2010) Development, Characteristics and Comparative Structural Analysis of Tensegrity Type Cable Domes, SPATIUM International Review, 22, pp. 57-66.

Nestorović, M. (2000) Konstruktivni sistemi – principi konstruisanja i oblikovanja, Beograd: Arhitektonski fakultet univerziteta u Beogradu.

Šekularac, N., Šekularac Ivanović, J., Čikić Tovarović, J. (2012) Application of folded structures in modern architecture and engineering constructions, TTEM, Vol. 7, No 4, pp. 1522-1529.

Vollers K. (2009) The CAD tool 2.0 morphological scheme of non-orthogonal high rises, issue III, pp. 38-49.

Volner, I. (2011) Dissecting Diagrid, Architect, October 2011, http://www.architecturemagazine.com/structure/dissecting-diagrid-architecture.aspx, accessed 12th Sep 2013.

Vrančić, T. (2010) Buildings of the World - BMW Welt, Građevinar, Vol. 62, No3, pp. 263-265.