Parametric Design and Structural Analysis of Deployable Origami Tessellation

Abstract

This paper presents a research study on a geometry and mechanism of origami for generating a deployable tessellation structure that will be tested as a large span structural system. The research explores a combination of methods for understanding the structural limitations of deployable origamic geometry by using geometric scripting with a parametric system and finite element analysis tools. This combination of methods allows deployable origamic geometry structures to be evaluated at various scales which provides information on how to optimize the geometry for a given scenario. Analog models based on biological inspirations were initially produced for studying the origamic deployment mechanism followed by a process that translated the model into a scripting based form generation using a parametric system to propagate different permutations of the same origami family. The workflow requires interoperability between the parametric system (Grasshopper/Rhino), Excel, and finite element analysis tool (LS-DYNA). The research investigates the possibilities of extracting geometric and mechanical principles of microstructure for its application to a larger scale structure as an architectural element. A recent paper by the authors discussed the general process from biological inspiration to structural evaluation of the selected origami structure (see Baerlecken et al. [1]). This paper continues the discussion with more additional information related to geometric principles of the selected origami for the case study and the technical details on the interoperability between the parametric and the structural system.

Development and modeling of multi-phase polymeric origami inspired architecture by using pre-molded geometrical features

“…The new manufacturing methods have allowed folded cores to be more promising for such applications [3]. Origami is the art of paper folding in which complex spatial objects can be created from a flat sheet [5]. It has an intrinsic source of inspiration for innovation of mechanical metamaterials, for which the material properties are defined more by the geometry and the way the materials are arranged than from the properties of its parent materials [5,6].…”

“…Origami is the art of paper folding in which complex spatial objects can be created from a flat sheet [5]. It has an intrinsic source of inspiration for innovation of mechanical metamaterials, for which the material properties are defined more by the geometry and the way the materials are arranged than from the properties of its parent materials [5,6]. Rigid origami, in which the faces between the crease lines remain rigid and only the creases deform during the folding process, has an advantage over other classes of origami patterns that require faces bending and crumpling.…”

Computational Parametric Analysis of Cellular Solids with the Miura‐Ori Metamaterial Geometry under Quasistatic Compressive Loads

“…Although there are several existing computational methods in the literature for establishing the 3D models of origami structures, they are often restricted to single-layer and zero-thickness origami models. [54][55][56] In general, such conventional modeling methods construct a model by offsetting the surface of the intermediate layer in the structural configuration. However, the Miura-ori metamaterial geometric model is composed of spatial facets with different dihedral angles; [57][58][59] consequently, if the facets are offset using the conventional methods, there will be blends or voids between adjacent facets.…”

A New Log-aesthetic Space Curve Based on Similarity Geometry

“…In line with the emergence of design computation in architecture, there has been an increasing number of publications focused on form-finding techniques in the architecture schematic design phase of buildings. Some of them include automated form-finding processes for designing large concrete roofs [18], domes [10], Voronoi's cell structures [6], trusses [5], tessellated structures [21], and Miura origami fold retractable roofs [22].…”