The pseudo-rigid-body modeling technique is used to simplify the nonlinear analysis of compliant mechanisms. This paper presents the first work that investigates the possibility of using the pseudo-rigid-body model to predict the first modal response of compliant mechanisms. Four different configurations of the parallel-guiding mechanism are modeled and tested, as well as two configurations of compliant straight-line mechanisms. The model predictions of the first natural frequencies were compared with experimental results for all six mechanism configurations. The model predictions are within 9 percent of the experimental results for all cases.

Issue Section:
Technical Briefs
Topics:
Compliant mechanisms, Modeling
1.
Ananthasuresh
G. K.
, and
Kota
S.
,
1995
, “
Designing Compliant Mechanisms
,”
Mechanical Engineering
, Vol.
117
, No.
11
, pp.
93
–
96
.
2.
Artobolevskii, I. I., 1986, Mechanisms in Modern Engineering Design: A Handbook for Engineers, Designers, and Inventors, Mir Publishers, Moscow.
3.
Cannon, R. H., Jr., 1967, Dynamics of Physical Systems, McGraw-Hill, N.Y., N.Y., pp. 163–179.
4.
Derderian, J. M., Howell, L. L., Murphy, M. D., Lyon, S. M., and Pack, S. D., “Compliant Parallel-Guiding Mechanisms,” Proceedings of the 1996 ASME Mechanisms Conference, Paper 96-DETC/MECH-1208.
5.
Howell
L. L.
, and
Midha
A.
,
1994
, “
A Method for the Design of Compliant Mechanisms with Small-Length Flexural Pivots
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
116
, No.
1
, pp.
280
–
290
.
6.
Howell
L. L.
, and
Midha
A.
,
1995
, “
Parametric Deflection Approximations for End-Loaded, Large-Deflection Beams in Compliant Mechanisms
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
117
, No.
1
, pp.
156
–
165
.
7.
Howell
L. L.
,
Midha
A.
, and
Norton
T. W.
,
1996
, “
Evaluation of Equivalent Spring Stiffness for Use in a Pseudo-Rigid-Body Model of Large-Deflection Compliant Mechanisms
,”
ASME JOURNAL OF MECHANICAL DESIGN
, Vol.
118
, No.
1
, pp.
126
–
131
.
8.
Huston, Ronald L., 1990, Multibody Dynamics, Butterworth-Heinemann, Stone-ham, MA.
9.
Millar, A. J., Howell, L. L., and Leonard, J. N., 1996, “Design and Evaluation of Compliant Constant-Force Mechanisms,” Proceedings of the 1996 ASME Mechanisms Conference, 96-DETC/MECH-1209.
10.
Paul, B., 1979, Kinematics and Dynamics of Planar Machinery, Prentice-Hall, Inc., Englewood Cliffs, NJ.
11.
Vogel, S., 1995, “Better Bent than Broken,” Discover, May 1995, pp. 62–67.
12.
Young Warren C., 1989, Roark’s Formulas for Stress and Strain, sixth edition, McGraw-Hill, Inc.
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