Synthesis analysis of the morphologies of convex polygonal tubular origami structures based on Yoshimura origami patterns

Abstract

In this paper, the basic elements of Yoshimura origami patterns are extracted, a discrete splicing construction method to control the circumference of a tubular origami structure based on basic elements is created by summarizing morphological laws, and a construction function and a solution process for the Yoshimura origami pattern tubular structure based on a combination of the basic elements are proposed. A concrete form of the convex polygonal origami structure based on the Yoshimura origami pattern with different numbers of edges is designed by synthesizing the construction function and geometric constraints. This theoretical synthesis approach provides new ideas for the innovative design of origami robots, mechanical metamaterials, and energy-absorbing cushioned structures.