Abstract

This paper presents kinetostatic modeling of a compliant mechanism for translational motion. This mechanism arranges all compliant members in an inverted way, which enables the robustness against beam buckling due to the heavy payload. To enable quick design and analysis of the mechanism, a nonlinear analytical model is then derived based on the chained beam constraint model, which is validated by nonlinear finite element simulation. Geometric parameter optimization is further carried out for desired motion characteristics. Finally, a prototype is fabricated and tested to verify the analytical model.

References

1.
Howell
,
L. L.
,
2001
,
Compliant Mechanisms
,
Wiley
,
New York
.
2.
Howell
,
L. L.
,
Magleby
,
S. P.
, and
Olsen
,
B. M.
, eds.,
2013
,
Handbook of Compliant Mechanisms
,
Wiley
,
New York
.
3.
Hao
,
G.
,
Yu
,
J.
, and
Li
,
H.
,
2016
, “
A Brief Review on Nonlinear Modeling Methods and Applications of Compliant Mechanisms
,”
Front. Mech. Eng.
,
11
(
2
), pp.
119
128
. 10.1007/s11465-016-0387-9
4.
Chen
,
G.
,
Ma
,
Y.
, and
Li
,
J.
,
2016
, “
A Tensural Displacement Amplifier Employing Elliptic-Arc Flexure Hinges
,”
Sens. Actuators A
,
247
(
Aug.
), pp.
307
315
. 10.1016/j.sna.2016.05.015
5.
Chen
,
G.
,
Wilcox
,
D. L.
, and
Howell
,
L. L.
,
2009
, “
Fully Compliant Double Tensural Tristable Micromechanisms (DTTM)
,”
J. Micromech. Microeng.
,
19
(
2
), p.
025011
. 10.1088/0960-1317/19/2/025011
6.
Han
,
Q.
,
Jin
,
K.
,
Chen
,
G.
, and
Shao
,
X.
,
2017
, “
A Novel Fully Compliant Tensural-Compresural Bistable Mechanism
,”
Sens. Actuators A
,
268
(
Dec.
), pp.
72
82
. 10.1016/j.sna.2017.10.012
7.
Slocum
,
J.
,
Kamrin
,
K.
, and
Slocum
,
A.
,
2019
, “
A Buckling Flexure-Based Force-Limiting Mechanism
,”
ASME J. Mech. Rob.
,
11
(
4
), p.
041004
. 10.1115/1.4043317
8.
Fan
,
S.
,
Liu
,
H.
, and
Fan
,
D.
,
2018
, “
Design and Development of a Novel Monolithic Compliant XY Stage With Centimeter Travel Range and High Payload Capacity
,”
Mech. Sci.
,
9
(
1
), pp.
161
176
. 10.5194/ms-9-161-2018
9.
Liu
,
H.
,
Fan
,
S.
,
Xie
,
X.
,
Zhang
,
Z.
, and
Fan
,
D.
,
2017
, “
Design and Modeling of a Novel Monolithic Parallel XY Stage With Centimeters Travel Range
,”
Adv. Mech. Eng.
,
9
(
11
), p.
1687814017729624
. 10.1177/1687814017729624
10.
Hao
,
G.
, and
Kong
,
X.
,
2012
, “
A Novel Large-Range XY Compliant Parallel Manipulator With Enhanced Out-of-Plane Stiffness
,”
ASME J. Mech. Des.
,
134
(
6
), p.
061009
. 10.1115/1.4006653
11.
Kahrobaiyan
,
M. H.
,
Thalmann
,
E.
,
Rubbert
,
L.
,
Vardi
,
I.
, and
Henein
,
S.
,
2018
, “
Gravity-Insensitive Flexure Pivot Oscillators
,”
ASME J. Mech. Des.
,
140
(
7
), p.
075002
. 10.1115/1.4039887
12.
Rubbert
,
L.
,
Bitterli
,
E.
,
Ferrier
,
N.
,
Fifanski
,
S.
,
Vardi
,
I.
, and
Henein
,
S.
,
2016
, “
Isotropic Springs Based on Parallel Flexure Stages
,”
Precis. Eng.
,
43
(
1
), pp.
132
145
. 10.1016/j.precisioneng.2015.07.003
13.
Chen
,
G.
,
Magleby
,
S. P.
, and
Howell
,
L. L.
,
2018
, “
Membrane-Enhanced Lamina Emergent Torsional Joints for Surrogate Folds
,”
ASME J. Mech. Des.
,
140
(
6
), p.
062303
. 10.1115/1.4039852
14.
Awtar
,
S.
,
Slocum
,
A. H.
, and
Sevincer
,
E.
,
2007
, “
Characteristics of Beam-Based Flexure Modules
,”
ASME J. Mech. Des.
,
129
(
6
), pp.
625
639
. 10.1115/1.2717231
15.
Zhao
,
H.
,
Bi
,
S.
, and
Yu
,
J.
,
2012
, “
A Novel Compliant Linear-Motion Mechanism Based on Parasitic Motion Compensation
,”
Mech. Mach. Theory
,
50
(
Apr.
), pp.
15
28
. 10.1016/j.mechmachtheory.2011.11.009
16.
Zhao
,
H.
,
Bi
,
S.
,
Yu
,
J.
, and
Guo
,
J.
,
2012
, “
Design of a Family of Ultra-Precision Linear Motion Mechanisms
,”
ASME J. Mech. Rob.
,
4
(
4
), p.
041012
. 10.1115/1.4007449
17.
Panas
,
R. M.
, and
Hopkins
,
J. B.
,
2015
, “
Eliminating Underconstraint in Double Parallelogram Flexure Mechanisms
,”
ASME J. Mech. Des.
,
137
(
9
), p.
092301
. 10.1115/1.4030773
18.
Hao
,
G.
,
Li
,
H.
,
He
,
X.
, and
Kong
,
X.
,
2014
, “
Conceptual Design of Compliant Translational Joints for High-Precision Applications
,”
Front. Mech. Eng.
,
9
(
4
), pp.
331
343
. 10.1007/s11465-014-0321-y
19.
Henein
,
S.
,
2000
, “
Conception des Structures Articulées à Guidages Flexibles de Haute Precision
,” Ph.D. thesis,
École Polytechnique Fédérale de Lausanne
,
Lausanne
, June (In French).
20.
Awtar
,
S.
,
2003
, “
Synthesis and Analysis of Parallel Kinematic XY Flexure Mechanisms
,” Doctoral dissertation,
Massachusetts Institute of Technology
,
Boston, MA
.
21.
Hao
,
G.
,
Yu
,
J.
, and
Liu
,
Y.
,
2018
, “
Compliance Synthesis of a Class of Planar Compliant Parallelogram Mechanisms Using the Position Space Concept
,”
4th IEEE/IFToMM International Conference on Reconfigurable Mechanisms and Robots (ReMAR)
,
Delft
,
June 20–22
, pp.
1
10
.
22.
Masters
,
N. D.
, and
Howell
,
L. L.
,
2003
, “
A Self-Retracting Fully Compliant Bistable Micromechanism
,”
J. Microelectromech. Syst.
,
12
(
3
), pp.
273
280
. 10.1109/JMEMS.2003.811751
23.
Ma
,
F.
, and
Chen
,
G.
,
2016
, “
Modeling Large Planar Deflections of Flexible Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model
,”
ASME J. Mech. Rob.
,
8
(
2
), p.
021018
. 10.1115/1.4031028
24.
Chen
,
G.
,
Ma
,
F.
,
Hao
,
G.
, and
Zhu
,
W.
,
2019
, “
Modeling Large Deflections of Initially Curved Beams in Compliant Mechanisms Using Chained Beam-Constraint-Model
,”
ASME J. Mech. Rob.
,
11
(
1
), p.
011002
. 10.1115/1.4041585
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