期刊
出版社
ROYAL SOC
DOI: 10.1098/rspa.2017.0348
关键词
origami; bar-and-hinge model; nonlinear analysis; elastic deformations; large displacement; large deformation
资金
- USA National Science Foundation [1538830]
- China Scholarship Council (CSC)
- Raymond Allen Jones Chair at the Georgia Institute of Technology
- Directorate For Engineering
- Div Of Civil, Mechanical, & Manufact Inn [1538830] Funding Source: National Science Foundation
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 non-rigid 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.
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