Constructing Rigid-Foldable Generalized Miura-Ori Tessellations for Curved Surfaces

Hu, Yucai1; Zhou, Yexin2; Liang, Haiyi3,4

2021-02-01

10.1115/1.4048630

Journal of Mechanisms and Robotics-Transactions of the ASME   影响因子和分区

1942-4302

1942-4310

Origami has shown the potential to approximate three-dimensional curved surfaces by folding through designed crease patterns on flat materials. The Miura-ori tessellation is a widely used pattern in engineering and tiles the plane when partially folded. Based on constrained optimization, this article presents the construction of generalized Miura-ori patterns that can approximate three-dimensional parametric surfaces of varying curvatures while preserving the inherent properties of the standard Miura-ori, including developability, flat foldability, and rigid foldability. An initial configuration is constructed by tiling the target surface with triangulated Miura-like unit cells and used as the initial guess for the optimization. For approximation of a single target surface, a portion of the vertexes on the one side is attached to the target surface; for fitting of two target surfaces, a portion of vertexes on the other side is also attached to the second target surface. The parametric coordinates are adopted as the unknown variables for the vertexes on the target surfaces, while the Cartesian coordinates are the unknowns for the other vertexes. The constructed generalized Miura-ori tessellations can be rigidly folded from the flat state to the target state with a single degree-of-freedom.

mechanism design folding origami Miura-ori tessellation optimization

SCI ; EI

英语

第一

National Natural Science Foundation of China[11272303,11072230,11802107] ; Fundamental Research Funds for the Central Universities of China["WK2480000001","WK2090050040"]

Engineering ; Robotics

Engineering, Mechanical ; Robotics

WOS:000603627000029

ASME

20212510516271

Agricultural robots ; Constrained optimization ; Degrees of freedom (mechanics)

Numerical Methods:921.6 ; Mechanics:931.1 ; Systems Science:961

Web of Science

1.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China
2.Harbin Inst Technol, Fac Sci, Shenzhen 518055, Peoples R China
3.Univ Sci & Technol China, Dept Modern Mech, CAS Key Lab Mech Behav & Design Mat, Hefei 230026, Anhui, Peoples R China
4.Anhui Chungu 3D Printing Inst Intelligent Equipme, IAT Chungu Joint Lab Addit Mfg, Wuhu 241200, Anhui, Peoples R China

Hu, Yucai,Zhou, Yexin,Liang, Haiyi. Constructing Rigid-Foldable Generalized Miura-Ori Tessellations for Curved Surfaces[J]. Journal of Mechanisms and Robotics-Transactions of the ASME,2021,13(1).

Hu, Yucai,Zhou, Yexin,&Liang, Haiyi.(2021).Constructing Rigid-Foldable Generalized Miura-Ori Tessellations for Curved Surfaces.Journal of Mechanisms and Robotics-Transactions of the ASME,13(1).

Hu, Yucai,et al."Constructing Rigid-Foldable Generalized Miura-Ori Tessellations for Curved Surfaces".Journal of Mechanisms and Robotics-Transactions of the ASME 13.1(2021).