Folding of a type of deployable origami structures

International Journal of Structural Stability and Dynamics

Volumn 12, Issue 6, 2012, Pages

  Chen, Yao ^a   Feng, Jian ^a  

^a SOUTHEAST UNIVERSITY   (China)

Author keywords

deployable origami structures; finite element simulation; Jacobian matrix; nonlinear iterative algorithm; Rigid folding

Indexed keywords

COMPATIBILITY MATRIXES; FINITE ELEMENT SIMULATIONS; FOLDING BEHAVIOR; GEOMETRIC PROPERTIES; ITERATIVE ALGORITHM; KEY PARAMETERS; NONLINEAR ALGORITHMS; NUMERICAL RESULTS; PIN-JOINTED STRUCTURES; RIGID FOLDING; RIGID PLANES; SINGLE DEGREE OF FREEDOMS; THEORETICAL VALUES;

ALGORITHMS; FINITE ELEMENT METHOD; ITERATIVE METHODS; JACOBIAN MATRICES; NUMERICAL METHODS;

THERMAL BARRIER COATINGS;

EID: 84873342391     PISSN: 02194554     EISSN: 17936764     Source Type: Journal    
DOI: 10.1142/S021945541250054X     Document Type: Article

References (17)

1. R. J. Lang, Origami Design Secrets-Mathematical Models for an Ancient Art (A K Peters, Ltd, USA, 2003), ISBN: 1-56881-194-2.
2. Y. Furuta, J. Mitani and Y. Fukui, A rendering method for 3D origami models using face overlapping relation, in SG 2009, LNCS 5531, A. Butz et al. (eds.) (2009), pp. 193-202.
3. T. Hull, The combinatorics of flat folds: A survey, Origami 3, in Proc. 3rd Int. Meeting of Orgami Science, Mathematics, and Education (Sponsored by Origami USA, A K Peters Ltd, 2002), pp. 29-38.
4. T. Tachi, One-dof cylindrical deployable Structures with rigid quadrilateral panels, in Proc. Int. Association for Shell and Spatial Structures (IASS) Symp. (Valencia, 2009).
5. T. Tachi, Generalization of rigid foldable quadrilateral mesh origami, in Proc. Int. Association for Shell and Spatial Structures (IASS) Symp. (Valencia, 2009).
6. T. Tachi, Simulation of rigid origami, Origami 4, in Proc. 4th Int. Conf. Origami in Science, Mathematics, and Education (2009).
7. M. Schenk and S. D. Guest, Folded textured sheets, in Proc. Int. Association for Shell and Spatial Structures (IASS) Symp. (Valencia, 2009).
8. J. C. Maxwell, On the calculation of the equilibrium and stiffness of frames, Philos. Mag. 27 (1864) 294-299.
9. S. Pellegrino and C. R. Calladine, Matrix analysis of statically and kinematically indeterminate frameworks, Int. J. Solids Struct. 22 (1986) 409-428. (Pubitemid 16606133)
10. S. Pellegrino, Structure computations with the singular value decomposition of the equilibrium matrix, Int. J. Solids Struct. 30(21) (1993) 3025-3035.
11. S. D. Guest and J. W. Hutchinson, On the determinacy of repetitive structures, J. Mech. Phys. Solids 51 (2003) 383-391. (Pubitemid 35459652)
12. R. D. Kangwai and S. D. Guest, Detection of finite mechanisms in symmetric structures, Int. J. Solids Struct. 36 (1999) 5507-5527.
13. P. W. Fowler and S. D. Guest, A symmetry extension of Maxwell's rule for rigidity of frames, Int. J. Solids Struct. 37 (2000) 1793-1804. (Pubitemid 32213090)
14. P. W. Fowler, S. D. Guest and T. Tarnai, A symmetry treatment of danzerian rigidity for circle packing, Proc. R. Soc. A 464 (2008) 3237-3254.
15. ABAQUS Version 6.6 On-line documentation, ABAQUS Analysis User's Manual (Abaqus Inc., 2005).
16. J. Y. Zhang, S. D. Guest and M. Ohsaki, Symmetric prismatic tensegrity structures: Part I. configuration and stability, Int. J. Solids Struct. 46 (2009) 1-14.
17. K. Miura, Proposition of pseudo-cylindrical concave polyhedral shells, Report No. 442, Institute of Space and Aeronautical Science, University of Tokyo, November (1969).