Advanced structural modeling of a fold in Origami/Kirigami inspired structures

A structural model is provided for the analysis of mechanical responses of folded quadrilateral plates which constitute the building blocks of most Origami/Kirigami inspired structures. This model uses the first order shear deformation theory (FSDT) to account for the elastic deformation of the facets. The behavior of the folds at the intersection of the plates is modeled by six linear and rotational springs that resist the relative displacements of the adjacent plates in their six possible degrees of freedom. Via use of this new structural model, complex responses involving deformation of the facets such as shearing, vibration characteristics, instabilities and the likes can be accurately accounted for. As a case study, effects of different characteristics of folded quadrilateral plates such as the facets geometry, the dihedral angle and stiffness, and the facets material properties and anisotropy on their vibrational responses are provided and comparisons with very limited data in the literature are made. Provided using proper boundary conditions, this model establishes the base for the analysis of large scale responses of Origami/Kirigami patterns in terms of the local characteristics of their structure.