期刊
INTERNATIONAL JOURNAL OF SOLIDS AND STRUCTURES
卷 136, 期 -, 页码 13-27出版社
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.ijsolstr.2017.11.029
关键词
Curved-crease origami; Elastica; Developable surface
类别
资金
- Australian Research Council [DP160103279]
- Air Force Office of Scientific Research [FA9550-16-1-0339]
Curved-crease origami are studied for many novel applications across engineering and architecture, as they are developable but possess a non-zero principal curvature and a corresponding energy storage capability when folded. However, geometric modelling techniques are limited, with most methods requiring numerical discretisation of a target curved surface to allow developability constraints to be enforced at vertices. The discretised surface can approximate a physical surface through relaxation for minimum bending energy, however such methods are cumbersome and their accuracy is largely unknown. This paper presents an analytical geometric construction method for curved-crease origami that avoids the need for surface discretisation. The new method combines a 1D elastica solution for large elastic bending deformation with a straight-crease origami projection and reflection process; it can thus concisely and accurately capture the principal surface curvature and developability characteristics of elastically-bent curved-crease origami. A surface error analysis of 3D scanned physical prototypes is used to validate the model, which is shown to be accurate to within +/- 50% of the sheet thickness for a 2 mm thick model for a range of elastica surface profiles. Limitations of the model are also explored including the derivation of a maximum compressibility limit; investigation of accuracy of numerical folding motion simulation; and an investigation of a free edge distortion behaviour which occurs in certain origami forms. (C) 2017 Elsevier Ltd. All rights reserved.
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