Parametrisation and application of cube and eggbox-type folded geometries

International Journal of Space Structures

Volumn 30, Issue 2, 2015, Pages 99-110

  Xie, Ruikang ^a   Chen, Yan ^a   Gattas, Joseph M ^b  

^a TIANJIN UNIVERSITY   (China)

^b UNIVERSITY OF QUEENSLAND   (Australia)

Author keywords

Folded sandwich structures; Kirigami; Rigid foldable origami

Indexed keywords

PLATES (STRUCTURAL COMPONENTS); SANDWICH STRUCTURES;

CONSTITUENT ELEMENTS; ENGINEERING APPLICATIONS; KINEMATIC PARAMETERS; KIRIGAMI; PARALLELOGRAM PLATE; PARAMETRISATION; RIGID FOLDABLE ORIGAMI; USEFUL PROPERTIES;

GEOMETRY;

EID: 84941907630     PISSN: 09560599     EISSN: 20598033     Source Type: Journal    
DOI: 10.1260/0266-3511.30.2.99     Document Type: Article

References (33)

1. Y. Klett and K. Drechsler, Designing technical tessellations, Origami 5(2011) 305-322.
2. T. Tachi, Generalization of rigid foldable quadrilateral mesh origami, in: Symposium of the International Association for Shell and Spatial Structures (50th. 2009. Valencia). Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures: Proceedings, Editorial Universitat Politécnica de Valéncia, 2009.
3. A. Hanaor and R. Levy, Evaluation of deployable structures for space enclosures, International Journal of Space Structures 16(4) (2001) 211-229.
4. N. De Temmerman, M. Mollaert, T. Van Mele and L. De Laet, Design and analysis of a foldable mobile shelter system, International Journal of Space Structures 22(3) (2007) 161-168.
5. O. L. Tonon, Geometry of the spatial folded form, International Journal of Space Structures 6(3) (1991) 227-240.
6. P. Huybers, Prism based structural forms, Engineering Structures 23(1) (2001) 12-21.
7. M. Schenk, A. D. Viquerat, K. A. Seffen and S. D. Guest, Review of Inflatable Booms for Deployable Space Structures: Packing and Rigidization, Journal of Spacecraft and Rockets (2014) 1-17.
8. K. Miura, The science of Miura-ori: A review, in: 4th International Meeting of Origami Science, Mathematics, and Education, RJ Lang, ed., AK Peters, Natick, MA, 87-100, 2009.
9. J. M. Gattas, W. Wu and Z. You, Miura-Base Rigid Origami: Parametrisations of First-level Derivative and Piecewise Geometries, Journal of Mechanical Design 135(11).
10. J. M. Gattas and Z. You, Miura-Base Rigid Origami: Parametrizations of Curved-Crease Geometries, Journal of Mechanical Design 136(12).
11. S. Heimbs, Foldcore sandwich structures and their impact behaviour: an overview, in: Dynamic Failure of Composite and Sandwich Structures, Springer, 491-544, 2013.
12. K. Miura, Zeta-Core Sandwich - Its Concept and Realization, ISAS Report 480, Institute of Space and Aeronautical Science, University of Tokyo (1972) 137-164.
13. A. Lebée and K. Sab, Homogenization of thick periodic plates: Application of the Bending-Gradient plate theory to a folded core sandwich panel, International Journal of Solids and Structures 49(19) (2012) 2778-2792.
14. J. Gattas and Z. You, The behaviour of curved-crease foldcores under low-velocity impact loads, International Journal of Solids and Structures 53 (2015) 80-91.
15. M. Schenk and S. D. Guest, Geometry of Miura-folded metamate-rials, Proceedings of the National Academy of Sciences 110(9) (2013) 3276-3281.
16. M. Schenk, S. Guest and G. McShane, Novel stacked folded cores for blast-resistant sandwich beams, International Journal of Solids and Structures 51(25) (2014) 4196-4214.
17. J. M. Gattas and Z. You, Geometric assembly of rigid foldable morphing sandwich structures, ngineering Structures 94 (2015) 149-159.
18. Y. Weinand, Innovative timber constructions, in: Symposium of the International Association for Shell and Spatial Structures (50th. 2009. Valencia). Evolution and Trends in Design, Analysis and Construction of Shell and Spatial Structures: Proceedings, Editorial de la Universitat Politécnica de Valencia., 2009.
19. F. Gioia, D. Dureisseix, R. Motro and B. Maurin, Design and analysis of a foldable/unfoldable corrugated architectural curved envelop, Journal of Mechanical Design 134(3) (2012) 031003.
20. E. A. Peraza-Hernandez, D. J. Hartl, R. J. Malak Jr and D. C. Lagoudas, Origami-inspired active structures: a synthesis and review, Smart Materials and Structures 23(9) (2014) 094001.
21. T. Nojima and K. Saito, Development of newly designed ultra-light core structures, JSME International Journal, Series A: Solid Mechanics and Material Engineering 49(1) (2006) 38-42, ISSN 13447912.
22. A. Brunner, Expansible surface structure, US Patent 3,362,118, 1968.
23. M. Schenk and S. D. Guest, Origami folding: A structural engineering approach, Origami 5 (2011) 291-304.
24. K. Saito, S. Pellegrino and T. Nojima, Manufacture of arbitrary cross-section composite honeycomb cores based on origami techniques, Journal of Mechanical Design 136(5) (2014) 051011.
25. J. M. Gattas and Z. You, Quasi-Static Impact Response of Alternative Origami-Core Sandwich Panels, in: ASME 2013 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, American Society of Mechanical Engineers, V06BT07A032-V06BT07A032, 2013.
26. H. N. Wadley, Cellular metals manufacturing, Advanced Engineering Materials 4(10) (2002) 726-733.
27. H. N. Wadley, N. A. Fleck and A. G. Evans, Fabrication and structural performance of periodic cellular metal sandwich structures, Composites Science and Technology 63(16) (2003) 2331-2343.
28. R. S. Farr and Y. Mao, Fractal space frames and metamaterials for high mechanical efficiency, Europhysics Letters 84(1) (2008) 14001.
29. R. Lakes, Materials with structural hierarchy, Nature 361 (6412) (1993) 511-515.
30. G. W. Kooistra, V. Deshpande and H. N. Wadley, Hierarchical corrugated core sandwich panel concepts, Journal of applied mechanics 74(2) (2007) 259-268.
31. C. Taylor, C. Smith, W. Miller and K. Evans, The effects of hierarchy on the in-plane elastic properties of honeycombs, International Journal of Solids and Structures 48(9) (2011) 13301339.
32. R. Oftadeh, B. Haghpanah, D. Vella, A. Boudaoud and A. Vaziri, Optimal Fractal-Like Hierarchical Honeycombs, Physical review letters 113(10) (2014) 14301.
33. J. M. Gattas, Rigid Origami Toolbox, Available at: http://joegattas.com/rigid-origami-toolbox/, 2013.