Based on the principle of dynamic equivalence, a new dynamic model of compliant mechanisms is developed using the pseudo-rigid-body model. The dynamic equation of general planar compliant mechanisms is derived. The natural frequency of a compliant mechanism is obtained in the example of a planar compliant parallel-guiding mechanism. The numerical results show the effectiveness and advantage of the proposed method compared with the methods of FEA and flexible mechanisms.

1.
Howell
,
L. L.
, 2001,
Compliant Mechanisms
,
Wiley
, New York.
2.
Howell
,
L. L.
, and
Midha
,
A.
, 1994, “
A method for the design of compliant mechanism with small-length flexural pivots
,”
ASME J. Mech. Des.
0161-8458,
116
, pp.
280
289
.
3.
Kota
,
S.
,
Ananthasuresh
,
G. K.
,
Crary
,
G. S.
, and
Wise
,
K. D.
, 1994, “
Design and fabrication of Microelectromechanical systems
,”
ASME J. Mech. Des.
0161-8458,
116
, pp.
1081
1088
.
4.
Ananthasuresh
,
G. K.
, and
Kota
,
S.
, 1995, “
Designing compliant mechanisms
,”
Mech. Eng. (Am. Soc. Mech. Eng.)
0025-6501,
117
, pp.
93
96
.
5.
Howell
,
L. L.
, and
Midha
,
A.
, 1996, “
Evaluation of equivalent spring stiffness for use in a pseudo-rigid-body model of large deflection compliant mechanisms
,”
ASME J. Mech. Des.
0161-8458,
118
, pp.
126
131
.
6.
Murphy
,
M. D.
,
Midha
,
A.
, and
Howell
,
L. L.
, 1996, “
The topological synthesis of compliant mechanisms
,”
Mech. Mach. Theory
0094-114X,
31
, pp.
185
199
.
7.
Howell
,
L. L.
, and
Midha
,
A.
, 1996, “
A loop-closure theory for the analysis and synthesis of compliant mechanisms
,”
ASME J. Mech. Des.
0161-8458,
118
, pp.
121
125
.
8.
Frecker
,
M. I.
,
Ananthasuresh
,
G. K.
,
Nishiwaki
,
S.
, and
Kota
,
S.
, 1997, “
Topological synthesis of compliant mechanisms using multi-criterion optimization
,”
ASME J. Mech. Des.
0161-8458,
119
, pp.
238
245
.
9.
Saxena
,
A.
, and
Ananthasuresh
,
G. K.
, 2000, “
On an optimal property of compliant topologies
,”
Struct. Multidiscip. Optim.
1615-147X,
19
, pp.
36
49
.
10.
Mankame
,
N. D.
, and
Ananthasuresh
,
G. K.
, 2004, “
A Novel Compliant Mechanism for Converting Reciprocating Translation into Enclosing Curved Paths
,”
J. Mech. Des.
1050-0472,
126
, pp.
667
672
.
11.
McInroy
,
J. E.
, and
Hamaan
,
J. C.
, 2000, “
Design and control of flexure jointed hexapods
,”
IEEE Trans. Rob. Autom.
1042-296X,
16
, pp.
372
381
.
12.
Parkinson
,
B. M.
,
Jenson
,
B. D.
, and
Roach
,
G. M.
, 2000, “
Optimization-based design of a fully-compliant bistable micromechanism
,”
Proceedings of 2000 ASME Design Engineering Technical Conferences
, DETC2000∕MECH-14119.
13.
Baker
,
M. S.
, and
Howell
,
L. L.
, 2002, “
On-Chip Actuation of an In-Plane Compliant Bistable Micro-Mechanism
,”
J. Microelectromech. Syst.
1057-7157,
11
, pp.
566
573
.
14.
Masters
,
N. D.
, and
Howell
,
L. L.
, 2003, “
A Self-Retracting Fully-Compliant Bistable Micromechanism
,”
J. Microelectromech. Syst.
1057-7157,
12
, pp.
273
280
.
15.
Lyon
,
S. M.
,
Evans
,
M. S.
,
Erickson
,
P. A.
, and
Howell
,
L. L.
, 1997, “
Dynamic response of compliant mechanisms using the pseudo-rigid-body model
,”
Proceedings of 1997 ASME Design Engineering Technical Conferences
, DETC97∕VIB-4177.
16.
Lyon
,
S. M.
,
Evans
,
M. S.
,
Erickson
,
P. A.
, and
Howell
,
L. L.
, 1999, “
Prediction of the first modal frequency of compliant mechanism using the pseudo-rigid-body model
,”
ASME J. Mech. Des.
0161-8458,
121
, pp.
309
313
.
17.
Boyle
,
C.
,
Howell
,
L. L.
,
Magleby
,
S. P.
, and
Evans
,
M. S.
, 2003, “
Dynamic modeling of compliant constant-force compression mechanisms
,”
Mech. Mach. Theory
0094-114X,
38
, pp.
1469
1487
.
18.
Li
,
Z.
, and
Kota
,
S.
, 2002, “
Dynamic analysis of compliant mechanisms
,”
Proceedings of ASME 2002 Design Engineering Technical Conferences
, DETC2002∕MECH-34205.
19.
Erdman
,
A. G.
, and
Sandor
,
G. N.
, 1997,
Mechanism Design: Analysis and Synthesis, Vol. 1
,
3rd ed.
,
Prentice Hall
, Upper Sadler River, NJ.
20.
Midha
,
A.
,
Erdman
,
A. G.
, and
Forhrib
,
D. A.
, 1978, “
Finite element approach to mathematical modeling of high-speed elastic linkages
,”
Mech. Mach. Theory
0094-114X,
13
, pp.
603
618
.
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