An origami design method based on topology optimization is introduced. The design of a folding pattern is cast as a problem of assigning presence and type of fold to lines in a “ground structure,” using folding angles as design variables. A ground structure for origami design has lines drawn on a two dimensional domain, showing all line segments that may appear as crease lines in the folded geometry. For a given ground structure and folding angles, the 3D geometry of the folded sheet can be computed using the mathematics of origami. A topology optimization method is then used to find an optimal combination of folding angles, which results in a folding pattern with desired, target geometric properties.
Origami Design by Topology Optimization
Department of Mechanical Engineering,
Contributed by the Design Automation Committee of ASME for publication in the JOURNAL OF MECHANICAL DESIGN. Manuscript received June 4, 2013; final manuscript received August 8, 2013; published online September 24, 2013. Assoc. Editor: Shinji Nishiwaki.
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Fuchi, K., and Diaz, A. R. (September 24, 2013). "Origami Design by Topology Optimization." ASME. J. Mech. Des. November 2013; 135(11): 111003. https://doi.org/10.1115/1.4025384
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