Shapes of Miura Mesh Mechanism with Mobility One

Abstract

The Miura Ori is a mechanism composed by a polyhedral deployable surface. It has favorable qualities from engineering prospective that lead the growing interest on it. The present work focuses on its transmission of motion. The mechanism can be represented by spherical 4 bar linkages, and on this account a simple and effective mobility formula is presented. The mechanism having a number of excessive rigid members, it is also possible to remove all or some of them, variously arranged. The changes are included in the calculation of allowable mobility of the system. The resulting tool can be directly used for the design of deployable Miura Ori surfaces with customized shape.

Characterizing Smart Environments as Interactive and Collective Platforms: A Review of the Key Behaviors of Responsive Architecture

“…The most dominant IB in the kinetic architecture literature is a structural adaptive behavior using folding mechanisms [ 76 , 77 , 78 , 79 , 80 , 81 , 82 ]. For example, linkage mechanisms for kinetic architecture include Watt-I linkage as a one degree-of-freedom (1-DOF) mechanism [ 76 ], spherical linkages [ 78 , 82 ] and a two degree-of-freedom (2-DOF) 8R (revolute joint) linkage [ 79 ]. The Watt-I “finger linkage” used in robotic, anthropomorphic fingers has been adopted for a convertible stadium roof structure, providing a wide range of structure flexibility and shading options [ 76 ].…”

From Folds to Structures, a Review

“…For instance, Kling [76,77] suggested a systematic approach to generate a family of foldable tessellations. Several works investigate how to perturb the pattern in order to get free forms [78,79,80,81,82,83,37,84,85,86,87,88]. An illustration is the design of a lampshade where Miura's pattern follows gradually a logarithmic spiral (Figure 19).…”

Translational Method for Designing Folded Plate Structures

“…The same equation can be used to control the collision between plates, as detailed in Section 4.3. Furthermore, mobility should be one regardless of the number of plates, and this is done by proposing that there is a continuous, 2-plate width path that connects each plate of the assemblies [28].…”

“…The holes enclosed by the plates, here and in the successive pictures, favour in this proposal the readability of the mechanism. In any case, according to [28] the mechanism can be have holes, which do not affect mobility; the empty areas may be used to vary the permeability of the structure to air and solar radiation, or to obtain unusual shapes.…”

“…An overview of the kinematic behavior of simple origami is provided in [27]. Example [28] demonstrates a deeper focus on the degree of freedom of assemblies of spherical linkages like the ones proposed in this research. The system is also proven to be over-constrained, which means that it has more bodies than the minimum required to move, and it actually moves due to the special arrangement of the bodies.…”