Instrumentalization of origami in construction of folded plate structures - design, research and education

  • Miodrag Nestorović University of Belgrade, Faculty of Architecture, Belgrade, Serbia
  • Jelena Milošević University of Belgrade, Faculty of Architecture, Belgrade, Serbia
  • Predrag Nestorović Energy Net d.o.o., Belgrade, Serbia
  • Miloš Maneski Strabag d.o.o., Belgrade, Serbia
Keywords: origami, folded-plate structures, form-finding, computer aid geometric modeling, rapid prototyping

Abstract

The paper deals with the origami used as an abstract tool to describe and represent the form and the structure of physical objects. In that respect, the potentials of this interdisciplinary technique as a medium of exploration of structural forms was introduced in the semester project done within the course Structural Systems at the Belgrade University, Faculty of Architecture. The technique was used as an interface to gain cognitive experience on spatial transformation and computational design. Throughout the intensive project period divided into three successive stages, the objective was to test method which enabled students to analyze geometrical principles of folding in order to apply these principles in the development of new designs. The generative algorithm inspired by the technique of paper folding assisted form-finding. Resulting shapes were verified by a production of small scale prototype models. The applied method, as a guiding design principle, facilitated formal exploration and augmentation of the design process. At the end of the course, students got cognitive experience on structural forms, while this simple technique delivered richness in terms of design solutions. 

References

Albers, J. (1952) Concerning Fundamental Design, in Bayer, H., Gropius, W., Gropius I. (eds.) Bauhaus 1919-1928. Boston: Branford, pp. 114-121.

Banghay, S. (2000) From Virtual to Physical Reality with Paper Folding, Computational Geometry Theory and Applications, No.15, pp. 161-74.

Bechthold, M. (2008) Innovative Surface Structures: Technologies and Applications. New York & Oxon: Taylor & Francis.

Buri, H., Weinamd, Y. (2008) Origami - Folded Plate Structures, Architecture, http://www.ewpa.com/archive/2008/june/paper_286.pdf, accessed 5th Dec 2011.

Deckard, C. (1986) Method and Apparatus for Producing Parts by Selective Sintering, U. S. Patent 4,863,538, filed 17th Oct 1986, published 5th Sep1989.

Dimitrov, D., Schreve, K.,de Beer, N. (2006) Advances in Three Dimensional Printing - State of the Art and Future Perspectives, Rapid Prototyping Journal, Vol. 12, No.3, pp. 136-47.

Ebara, M., Kawaguchi, K. (2003) Deployable Solid: A New Folding Structure, Forma, No. 18, pp. 187-195, http://www.scipress.org/journals/forma/pdf/1803/18030187.pdf, accessed 23rd Feb, 2014.

Hachem, C., Karni, E., Hanor, A. (2004) Deployable Structures in Nature: Examples, Analysis and Realizations, Journal of IASS, Vol. 45, No. 3, pp. 190-198.

Hagiwara, I. (2008) From Origami to Origamics, The Japan Journal, Vol.5, No.3, pp. 22-25.

Hull, T. (2002) The Combinatorics of Flat Folds: A Survey, in Hull, T. (ed.) Origami3: Third International Meeting of Origami Science, Mathematics, and Education. Natick, MA: AK Peters, pp. 29-38.

Jackson, P. (2011) Folding Techniques for Designers: From Sheet to Form, UK: Laurence King Publishers.

Khademzadeh, H. R., Mazaheri, H. (2007) Some Results to the Huzita’s Theorems, International Mathematical Forum 2, No. 14, pp. 699-704, http://www.m-hikari.com/imf- password2007/13-16-2007/mazaheriIMF13-16-2007-1.pdf, accessed 8th Jan 2014.

Khoshnevis, B. (2004) Automated Construction by Contour Crafting - Related Robotics and Information Technology, Journal of Automation in Construction, Vol. 13, No. 1, pp. 5-19.

Kobayashi, H.B., Kresling, J.F., Vincent, V. (1998) The Geometry of Unfolding Tree Leaves, Proceedings of Royal Society, No. 265, pp. 147-154.

Lang, R. J. (1994) Mathematical Algorithms for origami Design, Symmetry: Culture and Science, Vol. 5, No. 2, pp. 115-152.

Lang, R. J. (1996) A Computational Algorithm for origami Design, Computational Geometry: 12th Annual ACM Symposium, Philadelphia, Pennsylvania, pp. 98-105.

Lang, R. J. (2004) Robert J. Lang Origami, http://www.langorigami.com, accessed 7th Dec 2011.

Lister D. (2003, 2004) Die Geschichte des Papierfaltens – Eine Deutsche Perspektive 1 und 2, Der Falte, No. 35, No. 37, http:// www.papierfalten.de, accessed 23rd Feb 2014. [Lister D. (2003, 2004) The history of paper folding – A German Perspective 1 and 2, Der Falte, No. 35, No. 37, http://www.papierfalten.de, accessed 23rd Feb 2014]

Maekawa, J. (2008) Genuine Origami: 43 Mathematically-Based Models, From Simple to Complex. 1st Edition. Tokyo: Japan Publications Trading.

Mitra, A. (2009) The Grammar of Developable Double Corrugation (for Formal Architectural Applications), Dissertation report, University College London.

Miura, K. (1994) Folds - the Basis of Origami, Symmetry: Culture and Science, Vol. 5, No.1, pp. 13-22.

Miura, K. (1997) Folds - Its Physical and Mathematical Principles, in Miura, K. (ed.) Origami Science and Art: Proceedings of the Second International Meeting of Origami Science and Scientific Origami, Otsu, Japan, pp. 41-50.

Moussavi, F. (2009) Function of Form. Barcelona: Actar and Harvard Graduate School of Design.

Nestorović, M. (2000) Konstruktivni sistemi – principi konstruisanja i oblikovanja. Beograd: Arhitektonski fakultet Univerziteta u Beogradu. [Nestorović, M. (2010) Structural Systems – principles of construction and shaping. Belgrade: Faculty of Arhitecture.]

Nestorović, М., Nestorović, P., Milošević, J. (2012) Instrumental Role of Geometry in Design Process of Folded Architectural Structures - Research and Education, Applied Geometry and Graphics - The Interdepartmental Collection of Proceedings, No. 90, pp. 397-402.

Piegl, L., Tiller, W. (1997) The NURBS Book. 2nd Edition. Berlin, Heildelberg, New York: Springer–Verlag.

Pottman, H., Asperl, A., Hofer, M. Kilian, A. (2007) Architectural Geometry. 1st Edition. Exton, PA: Bentley Institute Press.

SOM: Skidmore, Owings & Merrill LLP - U. S. Air Force Academy - Cadet Chapel, http://www.som.com/projects/us_air_force_academy_cadet_cahpel, accessed 5th Dec 2011.

Sorguç, A. G. , Hagiwara, I., Selçuk, S. A. (2009) Origami in Architecture: A Medium of Inquiry for Design in Architecture, METU JFA, Vol. 26, No. 2, pp. 235-247, http://www.metu.edu.tr/archive/0258-5316/2009/cilt26/sayi_2/235-247.pdf, accessed 5th Dec 2011.

Stellman, P. et al. (2005) Kinematics and Dynamics of Nano structured Origami, Proceedings of IMECE, http://www.erikdemaine.org/papers/NanoEnergy_ASME2005/paper.pdf, accessed 22nd Feb 2014.

Steward, I. (2007) Mathematics: Some Assembly Needed, Nature, Vol. 448, No. 419, http://www.nature.com/nature/journal/v448/n7152/pdf/448419a.pdf, accessed 5th Dec 2011.

Vincent, J. (2000) Deployable Structures Found in Nature: Potential for Biomimicking, Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, No. 214, pp. 1-10.

Wheen, R. J. (1980) Method of Bending Hardened or Stiff Slabs, Australia Patent Application, No. PE 3167, Filed 17th Apr 1980.

Z Corporation - Spectrum Z TM510 - 3D Printing System, http://www.zcorp.com, accessed 5th Dec 2011.

Published
2016-06-30
Section
Review Paper