An expandable spiral structure based on rigid origami

Abstract

The invention discloses a foldable spiral structure based on rigid folded paper. The foldable spiral structure based on the rigid folded paper is composed of N quadrilateral basic units, according toeach of the quadrilateral basic units, interior angles are correspondingly the first interior angle, the second interior angle, the third interior angle and the fourth interior angle, the sum of the first interior angle and the third interior angle is 180 degrees, and the sum of the second interior angle and the fourth interior angle is 180 degrees; every two adjacent quadrilateral basic units share common edges of equal lengths, and four common edges intersect to form vertexes of the foldable spiral structure; for each of the vertexes, included angles between two adjacent common edges are correspondingly the first interior angles, the second interior angles, the third interior angles and the fourth interior angles; connected four quadrilateral basic units and common edges thereof around the vertexes form spherical four-bar linkages, and each foldable spiral structure comprises at least one vertex. The foldable spiral structure based on the rigid folded paper has the advantages that the production and the processing are simple, the motion control is convenient and the reliability is high, and can be applied to the fields of aerospace, building structure and the like.

Description

technical field [0001] The invention relates to a foldable structure with a single degree of freedom, in particular to a spiral structure based on rigid origami that can be unfolded and folded with a single degree of freedom. Background technique [0002] Origami structures have a wide range of engineering applications. The origami structure has the characteristics of easy unfolding and folding, relatively large folding, and simple structure. Foldable structures based on origami structures are widely used in aerospace, architectural structures, artworks and daily life due to their advantages of easy production, convenient storage and transportation, high folding-expansion ratio, and easy disassembly. [0003] Existing foldable structures based on origami structures can be applied in aerospace, construction and other fields. Although the origami structures designed by Guest and Pellegririno, Nojima and Furuya in recent years also have the characteristics of unfolding and fol...

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Problems solved by technology

[0003] Existing foldable structures based on origami structures can be applied in aerospace, construction and other fields. Although the origami structures designed by Guest and Pellegririno, Nojima and Furuya in recent years also have the characteristics of unfolding and folding, these studies The unfolding and folding of the unfolding structure in the paper depends on the elastic-plastic large deformation of the material, and it is difficult to precisely control the unfolding process, so its application is limited.

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