Inverse design of programmable Poisson's ratio and in-plane stiffness for generalized four-fold origami

Chen，Yao1; Liang，Jinbing1; Shi，Pan1; Feng，Jian1; Sareh，Pooya2; Dai，Jiansheng3

2023-05-01

10.1016/j.compstruct.2023.116789

COMPOSITE STRUCTURES   Impact Factor & Quartile

0263-8223

Origami-inspired metamaterials and structures exhibit extraordinary properties, including programmable Poisson's ratio and tunable stiffness. Although some research has achieved the programmability of generalized four-fold origami structures, the proposed formulas of Poisson's ratio and stiffness are complex and difficult to be applied for inverse design of origami engineering. Here, the geometric mechanics of a generalized four-fold origami unit with three angles and two lengths controls are studied. The analytical formulas give a great potential of inverse design for in-plane Poisson's ratio and in-plane stiffness. To realize inverse design, the transcendental equation with uninvertible solution is simplified by polynomial fitting method. Moreover, the results are verified by the classical Miura origami results, the existing Origami Simulator tools and the physical polyethylene models. Finally, to make the proposed inverse design applicable to non-zero thickness origami, it is recommended to adopt carbon fiber reinforced polymer shell as the connection of the panel.

Generalized four-fold origami Geometric mechanic Inverse design Mechanical metamaterial Negative Poisson's ratio Variable stiffness

English

Others

MATERIALS SCIENCE

2-s2.0-85148322617

Scopus

1.Key Laboratory of Concrete and Prestressed Concrete Structures of Ministry of Education,National Prestress Engineering Research Center,Southeast University,Nanjing,211189,China
2.Creative Design Engineering Lab (Cdel),School of Engineering,University of Liverpool,Liverpool, The Quadrangle, Brownlow Hill,L69 3GH,United Kingdom
3.Department of Mechanical and Energy Engineering,Southern University of Science and Technology,Shenzhen,518055,China

Chen，Yao,Liang，Jinbing,Shi，Pan,et al. Inverse design of programmable Poisson's ratio and in-plane stiffness for generalized four-fold origami[J]. COMPOSITE STRUCTURES,2023,311.

Chen，Yao,Liang，Jinbing,Shi，Pan,Feng，Jian,Sareh，Pooya,&Dai，Jiansheng.(2023).Inverse design of programmable Poisson's ratio and in-plane stiffness for generalized four-fold origami.COMPOSITE STRUCTURES,311.

Chen，Yao,et al."Inverse design of programmable Poisson's ratio and in-plane stiffness for generalized four-fold origami".COMPOSITE STRUCTURES 311(2023).