Prediction of the First Modal Frequency of Compliant Mechanisms Using the Pseudo-Rigid-Body Model

Author:

Lyon S. M.1,Erickson P. A.1,Evans M. S.1,Howell L. L.

Affiliation:

1. Mechanical Engineering Department, Brigham Young University, Provo, UT 84602

Abstract

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.

Publisher

ASME International

Subject

Computer Graphics and Computer-Aided Design,Computer Science Applications,Mechanical Engineering,Mechanics of Materials

Reference12 articles.

1. Ananthasuresh G. K. , and KotaS., 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 MidhaA., 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.

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