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.
Issue Section:
Technical Papers
1.
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, 2001, Compliant Mechanisms
, Wiley
, New York.2.
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.5.
Howell
, L. L.
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,” ASME J. Mech. Des.
0161-8458, 118
, pp. 126
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.6.
Murphy
, M. D.
, Midha
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, and Howell
, L. L.
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,” Mech. Mach. Theory
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, pp. 185
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.7.
Howell
, L. L.
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,” ASME J. Mech. Des.
0161-8458, 118
, pp. 121
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.8.
Frecker
, M. I.
, Ananthasuresh
, G. K.
, Nishiwaki
, S.
, and Kota
, S.
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,” ASME J. Mech. Des.
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, pp. 238
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.9.
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, A.
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, G. K.
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.10.
Mankame
, N. D.
, and Ananthasuresh
, G. K.
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, pp. 667
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.11.
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, J. E.
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,” IEEE Trans. Rob. Autom.
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.12.
Parkinson
, B. M.
, Jenson
, B. D.
, and Roach
, G. M.
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,” 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
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, pp. 566
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.14.
Masters
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, and Howell
, L. L.
, 2003, “A Self-Retracting Fully-Compliant Bistable Micromechanism
,” J. Microelectromech. Syst.
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, 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.
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, A. G.
, and Sandor
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, 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
.Copyright © 2005
by American Society of Mechanical Engineers
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