Designing of self-deploying origami structures using geometrically misaligned crease patterns

Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences

Volumn 472, Issue 2185, 2016, Pages

  Saito, Kazuya ^a   Tsukahara, Akira ^a   Okabe, Yoji ^a  

^a INSTITUTE OF INDUSTRIAL SCIENCE   (Japan)

Author keywords

Deployable structure; Miura ori; Origami; Rigid folding

Indexed keywords

FINITE ELEMENT METHOD; NUMERICAL METHODS;

DEPLOYABLE STRUCTURE; MIURA-ORI; MORPHING STRUCTURES; ORIGAMI; QUADRILATERAL MESHES; RIGID FOLDING; SIMULATION TECHNIQUE; STRUCTURAL MECHANICS;

DEGREES OF FREEDOM (MECHANICS);

EID: 84956860993     PISSN: 13645021     EISSN: 14712946     Source Type: Journal    
DOI: 10.1098/rspa.2015.0235     Document Type: Article

References (28)

1. Miura K. 2009 Triangles and quadrangles in space. In Proc. of the Int. Association for Shell and Spatial Structures Symp. (eds A Domingo, C Lazaro), pp. 27-38. Valencia, Spain: Editorial de la UniversitatPolitécnica de Valencia.
2. Lang JR. 1996 A computational algorithm for origami design. In The 12th Annual Symp. On Computational Geometry, pp. 98-105. Philadelphia, PA: ACM New York.
3. Tachi T. 2010 Origamizing polyhedral surfaces. IEEE Trans. Visualization Computer Graphics 16, 298-311. (doi:10.1109/TVCG.2009.67)
4. Mitani J. 2009 A design method for 3D origami based on rotational sweep. Computer-Aided Des. Appl. 6, 69-79. (doi:10.3722/cadaps.2009.69-79)
5. Hawkes E, An B, Benbernou NM, Tanaka H, Kim S, Demaine ED, Rus D, Wood RJ. 2010 Programmable matter by folding. Proc. Natl Acad. Sci. USA 107, 12 441-12 445. (doi:10.1073/pnas.0914069107)
6. Liu Y, Boyles JK, Genzer J, Dickey MD. 2012 Self-folding of polymer sheets using local light absorption. Soft Matter 8, 1764-1769. (doi:10.1039/c1sm06564e)
7. Tolley MT, Felton SM, Miyashita S, Aukes D, Rus D, Wood RJ. 2014 Self-folding origami: shape memory composites activated by uniform heating. Smart Mater. Struct. 23, 094006. (doi:10.1088/0964-1726/23/9/094006)
8. Saito K, Tsukahara A, Okabe Y. 2014 New deployable structures based on an elastic origami model. J. Mech. Des. 137, 021402. (doi:10.1115/1.4029228)
9. Wu W, You Z. 2011 A solution for folding rigid tall shopping bags. Proc. R. Soc. A 467, 2561-2574. (doi:10.1098/rspa.2011.0120)
10. Yasuda H, Yein T, Tachi T, Miura K, Taya M. 2013 Folding behaviour of Tachi-Miura polyhedron bellows. Proc. R. Soc. A 469, 20130351. (doi:10.1098/rspa.2013.0351)
11. Silverberg JL, Na JH, Evans AA, Liu B, Hull TC, Santangelo CD, Lang RJ, Hayward RC, Cohen I. 2015 Origami structures with a critical transition to bistability arising from hidden degrees of freedom. Nat. Mater. 14. 389-393. (doi:10.1038/nmat4232)
12. Wei ZY, Guo ZV, Dudte L, Liang HY, Mahadevan L. 2012 Geometric mechanics of periodic pleated origami. Phys. Rev. Lett. 110, 215501. (doi:10.1103/PhysRevLett.110.215501)
13. Schenk M, Guest SD. 2014 Geometry of Miura-folded metamaterials. Proc. Natl Acad. Sci. USA 110, 3276-3281. (doi:10.1073/pnas.1217998110)
14. Guest SD, Pellegrino S. 1994 The folding of triangulated cylinders part I: geometric considerations. ASME J. Appl. Mech. 61, 773-777. (doi:10.1115/1.2901553)
15. Guest SD, Pellegrino S. 1994 The folding of triangulated cylinders, part II: The folding process. ASME J. Appl. Mech. 61, 778-783. (doi:10.1115/1.2901554)
16. Guest SD, Pellegrino S. 1996 The folding of triangulated cylinders, part III: experiments. ASME J. Appl. Mech. 63, 77-83. (doi:10.1115/1.2787212)
17. Schenk M, Guest SD. 2011 Origami folding: A structural engineering approach. In Origami5 (eds PW Iverson, JR Lang, Yim IM Mark), pp. 293-305. Natick, MA: A K Peters.
18. Brackenbury JH. 1994 Wing folding and free-fright kinematics in Coreoptera (Insecta): A comparative study. J. Zool. 232, 253-283. (doi:10.1111/j.1469-7998)
19. Haas F, Gorb S, Wootton RJ. 2000 Elastic joints in Dermapteran hind wings: materials and wing folding. Arthropod. Struct. Dev. 29, 137-146. (doi:10.1016/S1467-8039(00)00025-6)
20. Saito K, Yamamoto S, Maruyama M, Okabe Y. 2014 Asymmetric hindwing foldings in rove beetles. Proc. Natl Acad. Sci. USA 111, 16 349-16 352. (doi:10.1073/pnas.1409468111)
21. Tachi T. 2009 Generalization of rigid-foldable quadrilateral-mesh origami. J. Int. Assoc. Shell Spatial Struct. 50, 173-179.
22. Beggs JS. 1966 Advanced mechanism. New York, NY: Macmillan Company.
23. Belcasro SM, Hull TC. 2002 Modelling the folding of paper into three dimensions using affine transformations. Linear Algebra Appl. 348, 273-282. (doi:10.1016/S0024-3795(01)00608-5)
24. Tachi T. 2009 Simulation of rigid origami. In Origami4 (ed. JR Lang), pp. 175-187. Natick, MA: A K Peters.
25. Tachi T. 2010 Geoemtric considerations for the design of rigid origami structures. In Proc. of the Int. Association for Shell and Spatial Structures Symp. (eds Q Zhang, L Yang, Y Hu), pp. 771-782. Beijing, China: China Architecture & Building Press.
26. Tachi T. 2011 Rigid-foldable thick origami. In Origami5 (eds PWang-Iverson, RJ Lang, MYim), pp. 253-264. Natick, MA: AK Peters.
27. Chen Y, Peng R, You Z. 2015 Origami of thick panels. Science 24, 396-400. (doi:10.1126/science.aab2870)
28. Tachi T. 2010 Freeform origami. See http://www.tsg.ne.jp/TT/software/.