Origami-inspired design is an emerging field capable of producing compact and efficient designs. The object of a surrogate fold is to provide a foldlike motion in a nonpaper material without undergoing yielding. Compliant mechanisms provide a means to achieve these objectives as large deflections are achieved. The purpose of this paper is to present a continuum of compliant joints capable of achieving motions not currently available with existing compliant joints. A series of compliant joints are presented in which the joint can be designed to allow or resist a variety of secondary motions. Closed-form solutions are presented for these compliant joints.

References

1.
Dureisseix
,
D.
,
2012
, “
An Overview of Mechanisms and Patterns With Origami
,”
Int. J. Space Syst.
,
27
(
1
), pp.
1
14
.
2.
Zirbel
,
S. A.
,
Lang
,
R. J.
,
Magleby
,
S. P.
,
Thomson
,
M. W.
,
Sigel
,
D. A.
,
Walkemeyer
,
P. E.
,
Trease
,
B. P.
, and
Howell
,
L. L.
,
2013
, “
Accommodating Thickness in Origami-Based Deployable Arrays
,”
ASME J. Mech. Des.
,
135
(
11
), p.
111005
.
3.
Kuribayashi
,
K.
,
Tsuchiya
,
K.
,
You
,
Z.
,
Tomus
,
D.
,
Umemoto
,
M.
,
Ito
,
K.
, and
Sasaki
,
M.
,
2006
, “
Self-Deployable Origami Stent Grafts as a Biomedical Application of Ni-Rich TiNi Shape Memory Alloy Foil
,”
Mater. Sci. Eng., A
,
419
(
1–2
), pp.
131
137
.
4.
Francis
,
K. C.
,
Rupert
,
L. T.
,
Lang
,
R. J.
,
Morgan
,
D. C.
,
Magleby
,
S. P.
, and
Howell
,
L. L.
,
2014
, “
From Crease Pattern to Product: Considerations to Engineering Origami-Adapted Designs
,”
ASME
Paper No. DETC2014-34031.
5.
Wang-Iverson
,
P.
,
Lang
,
R. J.
, and
M.
Yim
(Eds.), Origami 5: Fifth International Meeting of Origami Science, Mathematics, and Education (5OSME).
CRC Press
,
Boca Raton, FL
, pp.
305
322
.
6.
Wu
,
W.
, and
You
,
Z.
,
2010
, “
Modelling Rigid Origami With Quaternions and Dual Quaternions
,”
Proc. R. Soc. A
,
466
(
2119
), pp.
2155
2174
.
7.
Balkcom
,
D. J.
, and
Mason
,
M. T.
,
2008
, “
Robotic Origami Folding
,”
Int. J. Rob. Res.
,
27
(
5
), pp.
613
627
.
8.
Dai
,
J. S.
, and
Cannella
,
F.
,
2008
, “
Stiffness Characteristics of Carton Folds for Packaging
,”
ASME J. Mech. Des.
,
130
(
2
), p.
022305
.
9.
Qui
,
C.
,
Aminzadeh
,
V.
, and
Dai
,
J. S.
,
2013
, “
Kinematic Analysis and Stiffness Validation of Origami Cartons
,”
ASME J. Mech. Des.
,
135
(
11
), p.
111004
.
10.
Francis
,
K. C.
,
Blanch
,
J. E.
,
Magleby
,
S. P.
, and
Howell
,
L. L.
,
2013
, “
Origami-Like Creases in Sheet Materials for Compliant Mechanism Design
,”
Mech. Sci.
,
4
(
2
), pp.
371
380
.
11.
Howell
,
L. L.
,
2001
,
Compliant Mechanisms
,
Wiley
,
New York
.
12.
Su
,
H.-J.
,
2008
, “
A Load Independent Pseudo-Rigid-Body 3R Model for Determining Large Deflection of Beams in Compliant Mechanisms
,”
ASME
Paper No. DETC2008-49041.
13.
Delimont
, I
. L.
,
Magleby
,
S. P.
, and
Howell
,
L. L.
,
2014
, “
Evaluating Compliant Hinge Geometries for Origami-Inspired Mechanisms
,”
ASME
Paper No. DETC2014-34376.
14.
Zirbel
,
S. A.
,
Wilson
,
M. E.
,
Magleby
,
S. P.
, and
Howell
,
L. L.
,
2013
, “
An Origami-Inspired Self-Deployable Array
,”
ASME
Paper No. SMASIS2013-3296.
15.
Huang
,
H.
,
Deng
,
Z.
,
Qi
,
X.
, and
Li
,
B.
,
2013
, “
Virtual Chain Approach for Mobility Analysis of Multiloop Deployable Mechanisms
,”
ASME J. Mech. Des.
,
135
(
11
), p.
111002
.
16.
Jacobsen
,
J. O.
,
Chen
,
G.
,
Howell
,
L. L.
, and
Magleby
,
S. P.
,
2009
, “
Lamina Emergent Torsional (LET) Joint
,”
Mech. Mach. Theory
,
44
(
11
), pp.
2098
2109
.
17.
Wilding
,
S. E.
,
Howell
,
L. L.
, and
Magleby
,
S. P.
,
2012
, “
Introduction of Planar Compliant Joints Designed for Combined Bending and Axial Loading Conditions in Lamina Emergent Mechanisms
,”
Mech. Mach. Theory
,
56
(
2012
), pp.
1
15
.
18.
Young
,
W. C.
,
Budynas
,
R. G.
, and
Sadegh
,
A. M.
,
2012
,
Roark's Formulas for Stress and Strain
, 8th ed.,
McGraw-Hill
,
New York
.
19.
Howell
,
L. L.
,
DiBiasio
,
C. M.
,
Cullinan
,
M. A.
,
Panas
,
R.
, and
Culpepper
,
M. L.
,
2010
, “
A Pseudo-Rigid-Body Model for Large Deflections of Fixed-Clamped Carbon Nanotubes
,”
ASME J. Mech. Rob.
,
2
(
3
), p.
034501
.
20.
Trease
,
B. P.
,
Moon
,
Y.-M.
, and
Kota
,
S.
,
2005
, “
Design of Large-Displacement Compliant Joints
,”
ASME J. Mech. Des.
,
127
(
4
), pp.
788
798
.
You do not currently have access to this content.