Simulation and design of isostatic thick origami structures

TL;DR

This paper introduces a method to make thick origami structures isostatic by replacing traditional hinges with sliding hinges, simplifying static analysis and improving structural strength for practical applications.

Contribution

The paper presents a novel approach using sliding hinges to reduce static indeterminacy in thick origami structures, enabling easier analysis and design.

Findings

The method successfully reduces static indeterminacy in various origami patterns.

Sliding hinges allow for more accurate static analysis of thick origami structures.

The approach enhances the structural strength and reliability of origami-based constructions.

Abstract

Thick origami structures are considered here as assemblies of polygonal panels hinged to each other along their edges according to a corresponding origami crease pattern. The determination of the internal actions caused by external loads in such structures is not an easy task, owing to their high degree of static indeterminacy, and the likelihood of unwanted self-balanced internal actions induced by manufacturing imperfections. Here we present a method for reducing the degree of static indeterminacy which can be applied to several thick origami structures to make them isostatic. The method utilizes sliding hinges, which permit also the relative translation along the hinge axis, to replace conventional hinges. After giving the analytical description of both types of hinges and describing a rigid folding simulation procedure based on the integration of the exponential map, we present the static analysis of a series of noteworthy examples based on the Miura-ori pattern, the Yoshimura pattern, and the Kresling pattern. The method can be applied for the design and realization of thick origami structures with adequate strength to resist external actions.