A Model for Multi-Input Mechanical Advantage in Origami-Based Mechanisms

Mechanical advantage is traditionally defined for single-input and single-output rigid-body mechanisms. A generalized approach for identifying single-output mechanical advantage for a multiple-input compliant mechanism, such as many origami-based mechanisms, would prove useful in predicting complex mechanism behavior. While origami-based mechanisms are capable of offering unique solutions to engineering problems, the design process of such mechanisms is complicated by the interaction of motion and forces. This paper presents a model of the mechanical advantage for multi-input compliant mechanisms and explores how modifying the parameters of a model affects their behavior. The model is used to predict the force-deflection behavior of an origami-based mechanism (Oriceps) and is verified with experimental data from magnetic actuation of the mechanism.

[1]  Ashok Midha,et al.  Mechanical Advantage of Single-Input and Multiple-Output Ports Mechanical Device , 1984 .

[2]  T. Simpson,et al.  Design, Fabrication, and Modeling of an Electric–Magnetic Self-Folding Sheet , 2016 .

[3]  Alexander Pagano,et al.  A crawling robot driven by multi-stable origami , 2017 .

[4]  Samuel M. Felton,et al.  A method for building self-folding machines , 2014, Science.

[5]  Daniela Rus,et al.  Autonomous locomotion of a miniature, untethered origami robot using hall effect sensor-based magnetic localization , 2017, 2017 IEEE International Conference on Robotics and Automation (ICRA).

[6]  Daniela Rus,et al.  Ingestible, controllable, and degradable origami robot for patching stomach wounds , 2016, 2016 IEEE International Conference on Robotics and Automation (ICRA).

[7]  Amir Firouzeh,et al.  Design and control of a low profile electromagnetic actuator for foldable pop-up mechanisms , 2017 .

[8]  Mary Frecker,et al.  Multi-Field Responsive Origami Structures: Preliminary Modeling and Experiments , 2013 .

[9]  Yunfang Yang,et al.  Geometry of Transformable Metamaterials Inspired by Modular Origami , 2018 .

[10]  Michael Yu Wang,et al.  Mechanical and geometric advantages in compliant mechanism optimization , 2009 .

[11]  Mary Frecker,et al.  Finite element analysis and validation of dielectric elastomer actuators used for active origami , 2014 .

[12]  Ergun Akleman,et al.  Design Tools for Patterned Self-Folding Reconfigurable Structures Based on Programmable Active Laminates , 2016 .

[13]  Shuji Hashimoto,et al.  Origami Robot: A Self-Folding Paper Robot With an Electrothermal Actuator Created by Printing , 2016, IEEE/ASME Transactions on Mechatronics.

[14]  Ashok Midha,et al.  An Introduction to Mechanical Advantage in Compliant Mechanisms , 1998 .

[15]  Mary Frecker,et al.  Bistable compliant mechanism using magneto active elastomer actuation , 2014 .

[16]  Yang Yang,et al.  Single-Vertex Multicrease Rigid Origami With Nonzero Thickness and Its Transformation Into Deployable Mechanisms , 2018 .

[17]  Zion Tsz Ho Tse,et al.  Intracardiac magnetic resonance imaging catheter with origami deployable mechanisms , 2016 .

[18]  Spencer P. Magleby,et al.  Accommodating Thickness in Origami-Based Deployable Arrays , 2013 .

[19]  M. Dickey,et al.  Self-folding of polymer sheets using local light absorption , 2012 .

[20]  Zhong You,et al.  An Extended Family of Rigidly Foldable Origami Tubes , 2017 .

[21]  Larry L. Howell,et al.  Single Degree-of-Freedom Rigidly Foldable Cut Origami Flashers , 2015 .

[22]  Larry L. Howell,et al.  Highly Compressible Origami Bellows for Harsh Environments , 2016 .

[23]  Fei Wang,et al.  Structure, Design, and Modeling of an Origami-Inspired Pneumatic Solar Tracking System for the NPU-Phonesat , 2017 .

[24]  Jian S. Dai,et al.  An Extensible Continuum Robot With Integrated Origami Parallel Modules , 2016 .

[25]  R. J. Wood,et al.  An Origami-Inspired Approach to Worm Robots , 2013, IEEE/ASME Transactions on Mechatronics.

[26]  M. Frecker,et al.  Investigating the performance and properties of dielectric elastomer actuators as a potential means to actuate origami structures , 2014 .

[27]  Larry L. Howell,et al.  Oriceps: Origami-Inspired Forceps , 2013 .

[28]  Carlos E. Castro,et al.  Pseudorigid-Body Models of Compliant DNA Origami Mechanisms , 2015 .

[29]  Robert Sheridan,et al.  Numerical simulation and experimental validation of the large deformation bending and folding behavior of magneto-active elastomer composites , 2014 .

[30]  Amir Firouzeh,et al.  An under-actuated origami gripper with adjustable stiffness joints for multiple grasp modes , 2017 .

[31]  Yue Chen,et al.  Fabricating biomedical origami: a state-of-the-art review , 2017, International Journal of Computer Assisted Radiology and Surgery.

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

[33]  Paris von Lockette,et al.  Fabrication, characterization, and heuristic trade space exploration of magnetically actuated Miura-Ori origami structures , 2017 .

[34]  Amir Firouzeh,et al.  Robogami: A Fully Integrated Low-Profile Robotic Origami , 2015 .

[35]  Mary Frecker,et al.  Design, Fabrication, and Modeling of an Electric–Magnetic Self-Folding Sheet , 2016 .

[36]  Qian Cheng,et al.  Folding paper-based lithium-ion batteries for higher areal energy densities. , 2013, Nano letters.

[37]  Daniela Rus,et al.  An untethered miniature origami robot that self-folds, walks, swims, and degrades , 2015, 2015 IEEE International Conference on Robotics and Automation (ICRA).

[38]  M. Dunn,et al.  Photo-origami—Bending and folding polymers with light , 2012 .

[39]  Larry L. Howell,et al.  A Classification of Action Origami as Systems of Spherical Mechanisms , 2013 .

[40]  Emmanuel Baranger,et al.  Numerical modeling of the geometrical defects of an origami-like sandwich core , 2011 .

[41]  Fan Liu,et al.  Soft mobile robots driven by foldable dielectric elastomer actuators , 2016 .

[42]  D. Griffiths Introduction to Electrodynamics , 2017 .

[43]  Kyler A. Tolman,et al.  A Review of Thickness-Accommodation Techniques in Origami-Inspired Engineering , 2018 .

[44]  Taketoshi Nojima,et al.  Development of Newly Designed Ultra-Light Core Structures , 2006 .

[45]  Spencer P. Magleby,et al.  Accommodating Thickness in Origami-Based Deployable Arrays , 2013 .

[46]  Mary Frecker,et al.  Development and Validation of a Dynamic Model of Magneto-Active Elastomer Actuation of the Origami Waterbomb Base , 2015 .

[47]  Byoungkwon An,et al.  Folding Angle Regulation by Curved Crease Design for Self-Assembling Origami Propellers , 2015 .