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Non-convex octagonal four-fold folding unit and searching method of flat folding points

An octagonal, non-convex technology, applied in the field of origami structure design and development, can solve problems such as the inability to determine the position of the folding point, and achieve the effect of diverse structural shapes

Pending Publication Date: 2020-02-11
SOUTHEAST UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

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Problems solved by technology

Different from the traditional Miura origami, besides the intersection of parallel creases, there are other points satisfying the plane foldable condition inside the generalized Miura origami, but for the four-fold origami unit of any shape, it is impossible to determine the possible folding points. Location

Method used

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  • Non-convex octagonal four-fold folding unit and searching method of flat folding points
  • Non-convex octagonal four-fold folding unit and searching method of flat folding points
  • Non-convex octagonal four-fold folding unit and searching method of flat folding points

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Embodiment Construction

[0039] The present invention will be further described below in conjunction with embodiment and accompanying drawing.

[0040] figure 1 The steps of the method for finding flat foldable points in non-convex octagonal folding units disclosed by the present invention are described. according to figure 1 The technical flow of the origami unit shown in Figure 2 is solved to find all flat foldable points of the origami unit. The origami unit has eight boundary points and eight boundaries, and N1-N8 represent the boundary points of the origami unit. Input known information, the coordinates of the first four boundary points N1~N4 are N1=[2.5,5], N2=[0,2], N3=[2.5,0], N4=[6,0.7], boundary N4N5 The length scaling factor relative to the border N3N4 is k_length=1.1. Obtain the length of boundary N1N2, N2N3, N3N4, N4N5 according to known conditions, and obtain the included angle α=141.1 ° between boundary N1N8, N1N2 and the included angle β=130.0 ° between boundary N1N2, N2N3 by the l...

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Abstract

The invention discloses a non-convex octagon four-fold folding unit and a searching method for flat folding points. A folding unit is in the shape of an asymmetric non-convex octagon composed of non-congruent parallelograms. The folding unit comprises eight boundary points, eight boundaries, four creases, two plane foldable points and two corresponding folding modes. Eight boundaries of each non-convex octagonal paper folding unit are parallel in pairs. The four creases of one folding mode form a crease graph with the internal crease parallel to the unit boundary, and the four creases of the other folding mode form a crease graph with the internal crease not parallel to the unit boundary. According to the folding unit and the plane folding point, only the point coordinates of the four boundary points and the length scale factor of one boundary relative to the other boundary are needed to determine the folding unit and the plane folding point, convenience is provided for development anddesign of a paper folding crease pattern, and personnel in the field can conveniently and efficiently develop and design a four-crease paper folding configuration in any shape.

Description

technical field [0001] The invention belongs to the field of origami structure design and development, and relates to a non-convex octagonal four-crease folding unit and a method for finding flat folding points. Background technique [0002] In recent years, origami structures have been widely used in aerospace, biomedical engineering, mechanical metamaterials, robotics, intelligent buildings and other fields. The basic unit of traditional Miura origami is composed of four congruent parallelograms, and the crease pattern is a parallel crease pattern, which forms another compact planar structure after being completely folded. Miura origami is a single-degree-of-freedom structural system. When it is applied in engineering, it only needs to be driven in one direction, and the operation is simple and convenient. On the other hand, the basic unit shape rules of traditional Miura origami limit the shape of origami after folding. For traditional Miura origami, little change can be...

Claims

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Application Information

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IPC IPC(8): G06F30/17G06T17/00
CPCG06T17/00
Inventor 陈耀严嘉怡冯健孙求知
Owner SOUTHEAST UNIV
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