Technical Notes
May 13, 2019

Analysis of Nonlinear Free-Response of a Thin Plate Using Finite Elements

Publication: Journal of Engineering Mechanics
Volume 145, Issue 7

Abstract

This paper makes use of the Duffing oscillator equation to represent the dynamic nonlinearity of rectangular plates. The response of the nonlinear oscillation of a beam leads to parameters that are determined and compared to experiments. The resulting technique used for their evaluation are then extended to plates considering both simple and clamped boundary conditions. The programs MATLAB and ABAQUS are combined for these analyses.

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Acknowledgments

This study was sponsored by the Air Force Research Laboratory. The author would like to thank Matthew R. Ernst, an undergraduate summer intern, for his effort in developing the MATLAB code used in this study.

References

Agneni, A., and L. Balis Crema. 1988. “Analytic signals in the damping coefficient estimation.” In Proc., Int. Conf.: Spacecraft Structures and Mechanical Testing, 133–139. Noordwijk, Netherlands: European Space Agency.
Bendat, J. S., and A. G. Piersol. 2000. Random data, analysis and measurement procedures. New York: Wiley.
Cook, R. D., D. S. Malkus, M. E. Plesha, and R. J. Witt. 2002. Concepts and applications of finite element analysis. New York: Wiley.
Gordon, R. W., J. J. Hollkamp, and S. M. Spottswood. 2003. “Nonlinear response of a clamped-clamped beam to random base excitation.” In Proc., 8th Int. Conf. on Recent Advances in Structural Dynamics. Southampton, UK: Institute of Sound and Vibration Research.
Nayfeh, A., and D. Mook. 1979. Nonlinear oscillations. New York: Wiley.
Schudt, J. A. 1994. “Identification and response of a nonlinear clamped-clamped beam with an axial tensile load: Theory and experiment.” Ph.D. dissertation, Dept. of Mechanical and Aerospace Engineering, Ohio State Univ.

Information & Authors

Information

Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 145Issue 7July 2019

History

Received: Jul 6, 2018
Accepted: Apr 1, 2019
Published online: May 13, 2019
Published in print: Jul 1, 2019
Discussion open until: Oct 13, 2019

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Authors

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Anthony N. Palazotto, Ph.D., F.ASCE https://orcid.org/0000-0003-0904-4619 [email protected]
AFIT Distinguished Professor, Aerospace Engineering, Air Force Institute of Technology, Wright Patterson Air Force Base, OH 45433. ORCID: https://orcid.org/0000-0003-0904-4619. Email: [email protected]

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