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Analyse wandelbarer, starrer Faltstrukturen mit Anwendungsbeispielen

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Zusammenfassung

In dieser Arbeit werden zwei Methoden vorgestellt, welche die Untersuchung und Animation wandelbarer Faltungen ermöglichen. Diese werden angenommen als biegesteife, ebene Flächen, die an ihren Kanten durch Drehgelenke verbunden sind. Für den kinematischen Ablauf des Faltvorgangs werden zwei mathematische Modelle aufgestellt, die anschließend mittels numerischer Verfahren für Animationen verwendet werden.

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Referenzen

  • [1] Allgower, E.L., Georg, K., Continuation and path following, Acta Numerica 2 (1993), pp1-64.

    Google Scholar 

  • [2] Balkcom, D. J., Robotic Origami Folding, PhD Thesis (2004), CMU-RI-TR-04-43.

    Google Scholar 

  • [3] Balkcom, D. J., Demaine, E. D. & Demaine, M. L., Folding paper shopping bags. In Proc. of the 14th Annual Fall Workshop on Computational Geometry, Cambridge, MA, 2004 November 19–20, pp14–15, cgw2004.csail.mit.edu/proceedings.pdf (erweiterte Version: martinde-maine.org/papers/PaperBag_OSME2006/paper.pdf).

    Google Scholar 

  • [4] Belcastro, S., Hull, T., Modeling the folding of paper into three dimensions using affine transformations, Linear Algebra and its Applications, Volume 348, Issues 1–3, pp273–282.

    Google Scholar 

  • [5] Brakhage, K.-H., Analytical Investigations for the Design of Fast Approximation Methods for Fitting Curves and Surfaces to Scattered Data, IGPM Preprint (2016), submitted for publication, www.igpm.rwth-aachen.de/brakhage/veroeff.html.

  • [6] Buffart, H.; Trautz, M.: Construction Approach for Deployable Folded Plate Structures without Transversal Joint Displacement. Proceedings of Transformables 2013, 18.-20.09.2013, Sevilla.

    Google Scholar 

  • [7] Davidenko, D, On a new method of numerical solution of systems of nonlinear equations, Dokl. Akat. Nauk USSR 88 (1953), pp601-602 (in russisch).

    Google Scholar 

  • [8] Knight, M. E., Paper bag machine, U.S. Patent 116,842, July 11 1871.

    Google Scholar 

  • [9] Kokotsakis, A., Über bewegliche Polyeder, Math. Ann. 107 (1932), pp627-647.

    Google Scholar 

  • [10] Stachel, H., Remarks on Miura-Ori, a Japanese Folding Method, International Conference on Engineering Graphics and Design (2009).

    Google Scholar 

  • [11] Tachi , T., Simulation of Rigid Origami, Proceedings of 4OSME, pp. 175-187, 2009.

    Google Scholar 

  • [12] Tachi, T.,Rigid-foldable thick Origami. Fifth International Meeting of Origami Science, Mathematics, and Education (OSME), A K Peters/CRC Press, 2011, pp. 253–263.

    Google Scholar 

  • [13] Trautz, M., Das Prinzip des Faltens, Detail – Zeitschrift für Architektur und Baudetail 12/2009, pp. 1368–1376.

    Google Scholar 

  • [14] Wu, W. & You, Z., A solution for folding rigid tall shopping bags, Proc. R. Soc. A (2011) 467, pp2561–2574.

    Google Scholar 

  • [15] Webseite von Robert Lang: www.langorigami.com/.

  • [16] Webseite von Tomohiro Tachi: www.tsg.ne.jp/TT/.

  • [17] Demoprogramme und weitere Bilder zu diesem Artikel: www.igpm.rwth-aachen.de/brakhage/DGfGG15.

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Correspondence to Udo Beyer .

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Beyer, U. (2016). Analyse wandelbarer, starrer Faltstrukturen mit Anwendungsbeispielen. In: Beyer, U. (eds) Die Basis der Vielfalt . Springer Vieweg, Wiesbaden. https://doi.org/10.1007/978-3-658-14126-4_12

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