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Research Papers

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

[+] Author and Article Information
Jared Butler

Department of Mechanical Engineering,
Brigham Young University,
Provo, UT 84602
e-mail: jaredbutler@byu.net

Landen Bowen

Department of Mechanical Engineering,
Pennsylvania State University,
University Park, PA 16802
e-mail: landen.bowen@gmail.com

Eric Wilcox

Department of Mechanical Engineering,
Brigham Young University,
Provo, UT 84602
e-mail: ewwilcox@gmail.com

Adam Shrager

Department of Mechanical Engineering,
Pennsylvania State University,
University Park, PA 16802
e-mail: adam.shrager@gmail.com

Mary I. Frecker

Department of Mechanical Engineering,
Pennsylvania State University,
University Park, PA 16802
e-mail: mxf36@engr.psu.edu

Paris von Lockette

Department of Mechanical Engineering,
Pennsylvania State University,
University Park, PA 16802
e-mial: prv2@engr.psu.edu

Timothy W. Simpson

Department of Mechanical Engineering,
Pennsylvania State University,
University Park, PA 16802
e-mail: tws8@engr.psu.edu

Robert J. Lang

Lang Origami,
Alamo, CA 94507
e-mail: robert@langorigami.com

Larry L. Howell

Department of Mechanical Engineering,
Brigham Young University,
Provo, UT 84602
e-mail: lhowell@byu.edu

Spencer P. Magleby

Department of Mechanical Engineering,
Brigham Young University,
Provo, UT 84602
e-mail: magleby@byu.edu

1Corresponding author.

Portions of this work were presented at IDETC 2015 as paper number 47708.Contributed by the Mechanisms and Robotics Committee of ASME for publication in the JOURNAL OF MECHANISMS AND ROBOTICS. Manuscript received March 8, 2018; final manuscript received August 1, 2018; published online September 17, 2018. Assoc. Editor: Hai-Jun Su.

J. Mechanisms Robotics 10(6), 061007 (Sep 17, 2018) (9 pages) Paper No: JMR-18-1064; doi: 10.1115/1.4041199 History: Received March 08, 2018; Revised August 01, 2018

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.

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Figures

Grahic Jump Location
Fig. 1

Oriceps being actuated

Grahic Jump Location
Fig. 2

Oriceps fold pattern. Solid lines represent valley folds, while dotted lines represent mountain folds.

Grahic Jump Location
Fig. 3

Open and closed positions of the Oriceps

Grahic Jump Location
Fig. 4

Mechanical advantage model of the Oriceps (reduced by symmetry). Input (light) and output (dark) moments are indicated.

Grahic Jump Location
Fig. 5

Partially folded vertex within the Oriceps with sector angles (α) and exterior dihedral angles (γ) shown. The ground link (α3) is indicated with hatched lines.

Grahic Jump Location
Fig. 6

Oriceps fold pattern with placement of the magnets and their respective poling directions: (a) Short arrows represent individual magnet poling directions. (b) Long arrow represents applied magnetic field direction. Torque directions shown in black.

Grahic Jump Location
Fig. 7

Comparison of degree-4 vertex theoretical mechanical advantage profiles throughout actuation for the rigid-body Oriceps and the compliant Oriceps. The stiffness in (b) is varied by changing the modulus of elasticity, where E represents the modulus for the design in (a): (a) comparison of Oriceps under varying magnetic field strength and (b) comparison of Oriceps with varying stiffness.

Grahic Jump Location
Fig. 8

Oriceps fold pattern with vertices numbered 1–4, actuation inputs, and force outputs

Grahic Jump Location
Fig. 9

Predicted blocked force output at varying values of γ3

Grahic Jump Location
Fig. 10

Experimental setup to test force output during magnetic actuation

Grahic Jump Location
Fig. 11

Oriceps being actuated in an applied magnetic field. Poling directions of each magnet are indicated in the center of the image and the magnetic field with arrows across the top and bottom of the image.

Grahic Jump Location
Fig. 12

Calculated blocked force output at γ3 = 35 deg as compared to experimental data. The standard deviation of sampled points is represented with error bars.

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