Embedded Actuation for Shape-Adaptive Origami

Origami-inspired approaches to deployable or morphing structures have received significant interest. For such applications, the shape of the origami structure must be actively controlled. We propose a distributed network of embedded actuators which open/close individual folds and present a methodology for selecting the positions of these actuators. The deformed shape of the origami structure is tracked throughout its actuation using local curvatures derived from discrete differential geometry. A Genetic Algorithm (GA) is used to select an actuation configuration, which minimizes the number of actuators or input energy required to achieve a target shape. The methodology is applied to both a deployed and twisted Miura-ori sheet. The results show that designing a rigidly foldable pattern to achieve shape-adaptivity does not always minimize the number of actuators or input energy required to reach the target geometry.

[1]  K. Kuribayashi,et al.  Self-deployable origami stent grafts as a biomedical application of Ni-rich TiNi shape memory alloy foil , 2006 .

[2]  Christian D. Santangelo,et al.  Extreme Mechanics: Self-Folding Origami , 2017 .

[3]  Philip R. Buskohl,et al.  Discovering Sequenced Origami Folding Through Nonlinear Mechanics and Topology Optimization , 2019, Journal of Mechanical Design.

[4]  Gregory W. Reich,et al.  Design Optimization Challenges of Origami-Based Mechanisms With Sequenced Folding , 2016 .

[5]  M. Schenk,et al.  Strain Reversal in Actuated Origami Structures. , 2019, Physical review letters.

[6]  H. Nassar,et al.  Fitting surfaces with the Miura tessellation , 2018 .

[7]  Brian D. Iverson,et al.  Dynamic Control of Radiative Surface Properties With Origami-Inspired Design , 2016 .

[8]  Larry L. Howell,et al.  Rigidly Foldable Quadrilateral Meshes From Angle Arrays , 2017 .

[9]  Yanzhou Wang,et al.  TWISTER Hand: Underactuated Robotic Gripper Inspired by Origami Twisted Tower , 2020, IEEE Transactions on Robotics.

[10]  Mark Schenk,et al.  Geometry of Miura-folded metamaterials , 2013, Proceedings of the National Academy of Sciences.

[11]  Daniel M. Aukes,et al.  Self-folding origami: shape memory composites activated by uniform heating , 2014 .

[12]  Darren J. Hartl,et al.  Design and Optimization of a Shape Memory Alloy-Based Self-Folding Sheet , 2013 .

[13]  Simon D. Guest,et al.  Approximating a Target Surface with 1-DOF Rigid Origami , 2019, ArXiv.

[14]  Dimitris C. Lagoudas,et al.  Design of Origami Structures With Smooth Folds , 2016 .

[15]  Daniele Panozzo,et al.  Position-based tensegrity design , 2017, ACM Trans. Graph..

[16]  J. Silverberg,et al.  Lattice mechanics of origami tessellations. , 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

[17]  Robert J. A. Francis-Jones,et al.  Two-Way Photonic Interface for Linking the Sr+ Transition at 422 nm to the Telecommunication C Band , 2018, Physical Review Applied.

[18]  Thomas C. Hull,et al.  Using origami design principles to fold reprogrammable mechanical metamaterials , 2014, Science.

[19]  Simon D. Guest,et al.  On rigid origami II: quadrilateral creased papers , 2020, Proceedings of the Royal Society A.

[20]  Jian Feng,et al.  Deployment simulation of foldable origami membrane structures , 2017 .

[21]  Levi H. Dudte,et al.  Geometric mechanics of periodic pleated origami. , 2012, Physical review letters.

[22]  Yucai Hu,et al.  Rigid-foldable generalized Miura-ori tessellations for three-dimensional curved surfaces , 2020, ArXiv.

[23]  Tian Chen,et al.  Autonomous Deployment of a Solar Panel Using Elastic Origami and Distributed Shape-Memory-Polymer Actuators , 2018, Physical Review Applied.

[24]  M. Kilian,et al.  String Actuated Curved Folded Surfaces , 2017, TOGS.

[25]  Tomohiro Tachi,et al.  Simulation of Rigid Origami , 2006 .

[26]  Simon D. Guest,et al.  Origami folding: A Structural Engineering Approach , 2011 .

[27]  Wei Zhang,et al.  Finite element analysis of electroactive polymer and magnetoactive elastomer based actuation for origami folding , 2017, Smart Materials and Structures.

[28]  Mary Frecker,et al.  Trade Space Exploration of Magnetically Actuated Origami Mechanisms , 2016 .

[29]  Yan Zhao,et al.  Approximating 3D surfaces using generalized waterbomb tessellations , 2018, J. Comput. Des. Eng..

[30]  Larry L. Howell,et al.  An Approach to Designing Origami-Adapted Aerospace Mechanisms , 2016 .

[31]  H Tanaka,et al.  Programmable matter by folding , 2010, Proceedings of the National Academy of Sciences.

[32]  Mark Meyer,et al.  Discrete Differential-Geometry Operators for Triangulated 2-Manifolds , 2002, VisMath.

[33]  Kyu-Jin Cho,et al.  Self-Folding Origami Using Torsion Shape Memory Alloy Wire Actuators , 2014 .

[34]  Koryo Miura,et al.  Method of Packaging and Deployment of Large Membranes in Space , 1985 .

[35]  H Nassar,et al.  Curvature, metric and parametrization of origami tessellations: theory and application to the eggbox pattern , 2017, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences.

[36]  Gregory W. Reich,et al.  Origami Actuator Design and Networking Through Crease Topology Optimization , 2015 .

[37]  Tomohiro Tachi,et al.  Programming curvature using origami tessellations. , 2016, Nature materials.

[38]  Vladlen Koltun,et al.  Deep Drone Racing: From Simulation to Reality With Domain Randomization , 2019, IEEE Transactions on Robotics.