TY - JOUR
T1 - Nonlinear mechanics of non-rigid origami
T2 - An efficient computational approach
AU - Liu, K.
AU - Paulino, G. H.
N1 - Funding Information:
Ethics. This work did not involve any active collection of human or animal data. Data accessibility. This work does not have any experimental data. Authors’ contributions. G.H.P. designed the research. G.H.P. and K.L. conceived the mathematical models, interpreted computational results, analysed data and wrote the paper. K.L. implemented the formulation and performed most of the simulations. All the authors gave their final approval for publication. Competing interests. We have no competing interests. Funding. This work was supported by the USA National Science Foundation grant no. 1538830, the China Scholarship Council (CSC) and the Raymond Allen Jones Chair at the Georgia Institute of Technology. Acknowledgements. This paper is dedicated to the memory of Prof. Richard H. Gallagher (1927–1997). The authors extend their appreciation to Mrs Ebertilene A. Paulino for suggesting the investigation of the Kresling pattern. We also thank Mr Zonglin Li for taking photos of the physical origami models. Disclaimer. The information provided in this paper is the sole opinion of the authors and does not necessarily reflect the views of the sponsoring agencies.
Publisher Copyright:
© 2017 The Author(s) Published by the Royal Society.
PY - 2017/10/1
Y1 - 2017/10/1
N2 - Origami-inspired designs possess attractive applications to science and engineering (e.g. deployable, self-assembling, adaptable systems). The special geometric arrangement of panels and creases gives rise to unique mechanical properties of origami, such as reconfigurability, making origami designs well suited for tunable structures. Although often being ignored, origami structures exhibit additional soft modes beyond rigid folding due to the flexibility of thin sheets that further influence their behaviour. Actual behaviour of origami structures usually involves significant geometric nonlinearity, which amplifies the influence of additional soft modes. To investigate the nonlinear mechanics of origami structures with deformable panels, we present a structural engineering approach for simulating the nonlinear response of non-rigid origami structures. In this paper, we propose a fully nonlinear, displacement-based implicit formulation for performing static/quasi-static analyses of nonrigid origami structures based on 'bar-and-hinge' models. The formulation itself leads to an efficient and robust numerical implementation. Agreement between real models and numerical simulations demonstrates the ability of the proposed approach to capture key features of origami behaviour.
AB - Origami-inspired designs possess attractive applications to science and engineering (e.g. deployable, self-assembling, adaptable systems). The special geometric arrangement of panels and creases gives rise to unique mechanical properties of origami, such as reconfigurability, making origami designs well suited for tunable structures. Although often being ignored, origami structures exhibit additional soft modes beyond rigid folding due to the flexibility of thin sheets that further influence their behaviour. Actual behaviour of origami structures usually involves significant geometric nonlinearity, which amplifies the influence of additional soft modes. To investigate the nonlinear mechanics of origami structures with deformable panels, we present a structural engineering approach for simulating the nonlinear response of non-rigid origami structures. In this paper, we propose a fully nonlinear, displacement-based implicit formulation for performing static/quasi-static analyses of nonrigid origami structures based on 'bar-and-hinge' models. The formulation itself leads to an efficient and robust numerical implementation. Agreement between real models and numerical simulations demonstrates the ability of the proposed approach to capture key features of origami behaviour.
KW - Bar-and-hinge model
KW - Elastic deformations
KW - Large deformation
KW - Large displacement
KW - Nonlinear analysis
KW - Origami
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U2 - 10.1098/rspa.2017.0348
DO - 10.1098/rspa.2017.0348
M3 - Article
C2 - 29118663
AN - SCOPUS:85034086024
SN - 1364-5021
VL - 473
JO - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
JF - Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences
IS - 2206
ER -