...K. A. Seffen We present a novel, rigidly folding vertex inspired by the shape of the simplest hanging drape. Fold lines in the vertex correspond to pleats and ridges in the drape and are symmetrically arranged to enable synchronized flat folding of facet pairs. We calculate the folded rotation...

...Yucai Hu; Yexin Zhou; Haiyi Liang Origami has shown the potential to approximate three-dimensional curved surfaces by folding through designed crease patterns on flat materials. The Miura-ori tessellation is a widely used pattern in engineering and tiles the plane when partially folded. Based...

...Daniel T. Eatough; Keith A. Seffen The shape of a vertex roof is defined by the geometry of its constituent flat facets and the relative angle of folding across them. The spherical image of the roof, originally from Gauss, expresses these properties simultaneously. We present a method...

... OURNAL OF M ECHANISMS AND R OBOTICS . Manuscript received March 8, 2018; final manuscript received August 1, 2018; published online September 17, 2018. Assoc. Editor: Hai-Jun Su. 08 03 2018 01 08 2018 Actuators Compliant mechanisms Folding Origami Transmissions...

...Hritwick Banerjee; Neha Pusalkar; Hongliang Ren Origami-based paper folding is being used in robotics community to provide stiffness and flexibility simultaneously while designing smart structures. In this paper, we propose a novel design inspired by origami pattern service robot, which transforms...

... and Dai proposed 8R linkage [ 26 ] invented from the concept of a Kirigami fold based on a combination of two 6R linkages as its motion branches. The spatial 6R overconstrained linkage is another type of linkages that attract most attention. The first spatial 6R linkage was the Sarrus linkage [ 8...

...Huijuan Feng; Rui Peng; Jiayao Ma; Yan Chen Rigid origami is a restrictive form of origami that permits continuous motion between folded and unfolded states along the predetermined creases without stretching or bending of the facets. It has great potential in engineering applications...

... Committee of ASME for publication in the J OURNAL OF M ECHANISMS AND R OBOTICS . Manuscript received September 7, 2017; final manuscript received May 8, 2018; published online June 18, 2018. Assoc. Editor: James J. Joo. 07 09 2017 08 05 2018 Flying robots Folding Mechanism design...

... screw theory. By performing type synthesis of the deployable mechanisms for the truss antenna, a novel deployable mechanism is developed that not only enables complete folding and unfolding but also allows the attitude of the nodes to be made uniform. First, according to the unit division of the antenna...

...Robert J. Lang; Larry Howell We present a design technique for generating rigidly foldable quadrilateral meshes (RFQMs), taking as input four arrays of direction angles and fold angles for horizontal and vertical folds. By starting with angles, rather than vertex coordinates, and enforcing the fold...

...Yunfang Yang; Zhong You Modular origami is a type of origami where multiple pieces of paper are folded into modules, and these modules are then interlocked with each other forming an assembly. Some of them turn out to be capable of large-scale shape transformation, making them ideal to create...

...Chenhan Guang; Yang Yang The radial folding ratio of single-vertex multicrease rigid origami, from the folded configuration to the unfolded configuration, is satisfactory. In this study, we apply two approaches to add nonzero thickness for this kind of origami and identify different geometrical...

... meet different kinds of application requirements. 1 Corresponding author. Manuscript received December 19, 2016; final manuscript received September 21, 2017; published online October 20, 2017. Assoc. Editor: Shaoping Bai. 19 12 2016 21 09 2017 Folding Mechanism design...

... manuscript received September 9, 2017; published online October 19, 2017. Assoc. Editor: Jian S. Dai. 01 02 2017 09 09 2017 Compliant mechanisms Folding Mechanism design Mechanism synthesis Robot design Theoretical kinematics Origami Principles from origami art are applied...

...Cai Jianguo; Liu Yangqing; Ma Ruijun; Feng Jian; Zhou Ya Rigid origami is seen as a fundamental model in many self-folding machines. A key issue in designing origami is the rigid/nonrigid foldability. The kinematic and foldability of Kresling origami, which is based on an origami pattern...

.... Actuation should satisfy the design requirements of wide actuation range, high actuation speed, and backdrivability. This paper presents a novel approach toward fast and controllable folding mechanisms by embedding an electromagnetic actuation system into a nominally flat platform. The design, fabrication...

.... 10.1115/DETC2014-34428 [6] Schenk , M. , and Guest , S. D. , 2013 , “ Geometry of Miura-Folded Metamaterials ,” Proc. Natl. Acad. Sci. U.S.A. , 110 ( 9 ), pp. 3276 – 3281 . 10.1073/pnas.1217998110 [7] Tachi , T. , 2013 , “ Interactive Form-Finding of Elastic Origami...

... manuscript received January 10, 2017; published online March 9, 2017. Assoc. Editor: Venkat Krovi. 17 10 2016 10 01 2017 For obtaining a more compact folded model, only Bennetts with equal link lengths are considered. Therefore, in the following, we always have a  =  b , and so α  =  β...

... a modular chainlike structure of links and connector nodes that can be used to fold a wide range of two-dimensional (2D) or three-dimensional (3D) structural lattices that can be easily disassembled and reconfigured when desired. The node geometry consists of a diamondlike shape that is one-twelfth...

...Tomohiro Tachi; Thomas C. Hull When actuating a rigid origami mechanism by applying moments at the crease lines, we often confront the bifurcation problem where it is not possible to predict the way the model will fold when it is in a flat state. In this paper, we develop a mathematical model...