Morphology analysis of a foldable kirigami structure based on Miura origami

• Published in: Smart materials and structures Vol. 23; no. 9; pp. 1 - 9
• Main Authors: Jianguo, Cai, Xiaowei, Deng, Jian, Feng
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 01.09.2014; Institute of Physics
• Subjects: Angles (geometry); Curvature; Displays; Exact sciences and technology; foldable structures; Fundamental areas of phenomenology (including applications); Mathematical analysis; Morphology; morphology analysis; origami; Physics; Radius of curvature; Smart materials and structures; Solid mechanics; Structural and continuum mechanics; Theory and numerical methods; Trigonometry; Tilt angle; Vertex; Radius of curvature; Morphology; Size effect; Geometrical model; Folding; Structural analysis
• ISSN: 0964-1726; 1361-665X
• DOI: 10.1088/0964-1726/23/9/094011

The morphology of a foldable kirigami structure with modified Miura-ori patterns, which displays curvature during motion, was investigated in this paper. The principle of spherical trigonometry was used to obtain the radius, span, rise, and longitudinal length of the foldable structure during motion. The results show that the radius of curvatures decreases and that the span initially increases and then decreases during the deployment process. Furthermore, there is little change in the span over the greater part of the deployment range. Changing the values for the length, a, and the vertex angle, , demonstrates that the deployment angle at the end of the motion, the span, and the maximal rise increase with the increase in the length a. However, changing these values has no effect on the longitudinal length. At the same time, the effect of the vertex angle on the geometry of the foldable kirigami is not significant.