Research Papers

Repelling-Screw Based Force Analysis of Origami Mechanisms

[+] Author and Article Information
Chen Qiu

Centre for Robotic Research,
King’s College London,
London WC2R 2LS, UK
e-mail: chen.qiu@kcl.ac.uk

Ketao Zhang

Centre for Robotic Research,
Kings’s College London,
London WC2R 2LS, UK
e-mail: ketao.zhang@kcl.ac.uk

Jian S. Dai

ASME Fellow
Chair of Mechanisms and Robotics
MoE Key Laboratory for Mechanism Theory and
Equipment Design,
Tianjin University,
Tianjin, 300072, China;
Centre for Robotic Research,
King’s College London,
London WC2R 2LS, UK
e-mail: jian.dai@kcl.ac.uk

1Corresponding author.

Manuscript received May 31, 2015; final manuscript received August 24, 2015; published online March 7, 2016. Assoc. Editor: Larry L. Howell.

J. Mechanisms Robotics 8(3), 031001 (Mar 07, 2016) (10 pages) Paper No: JMR-15-1122; doi: 10.1115/1.4031458 History: Received May 31, 2015; Revised August 24, 2015

This paper provides an approach to model the reaction force of origami mechanisms when they are deformed. In this approach, an origami structure is taken as an equivalent redundantly actuated mechanism, making it possible to apply the forward-force analysis to calculating the reaction force of the origami structure. Theoretical background is provided in the framework of screw theory, where the repelling screw is introduced to integrate the resistive torques of folded creases into the reaction-force of the whole origami mechanism. Two representative origami structures are then selected to implement the developed modeling approach, as the widely used waterbomb base and the waterbomb-based integrated parallel mechanism. With the proposed kinematic equivalent, their reaction forces are obtained and validated, presenting a ground for force analysis of origami-inspired mechanisms.

Copyright © 2016 by ASME
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Grahic Jump Location
Fig. 3

Schematic diagram of the waterbomb-base integrated parallel mechanism

Grahic Jump Location
Fig. 2

Geometrical relationships of the equivalent spherical joint A

Grahic Jump Location
Fig. 8

Variations of crease rotation angles and reaction force in the rotational-motion mode of origami mechanism. (a) Crease rotation angles θs with respect to θ1 and (b) reaction force with respect toθ1.

Grahic Jump Location
Fig. 1

The equivalent mechanism of an origami waterbomb base

Grahic Jump Location
Fig. 5

Linear motion of the origami mechanism

Grahic Jump Location
Fig. 6

Variations of crease rotation angles and reaction force in the linear-motion mode of origami mechanism. (a) Crease rotation angles θs with respect to θ1. (b) Reaction force with respect to θ1.

Grahic Jump Location
Fig. 7

Rotational motion of the origami mechanism

Grahic Jump Location
Fig. 4

Geometrical relationships of the Limb B1A1P1

Grahic Jump Location
Fig. 9

A general configuration of the origami-enabled parallel mechanism



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