TECHNICAL PAPERS
Mar 1, 2006

Numerical Simulations of Dynamic Instability of Elastic-Plastic Beams

Publication: Journal of Engineering Mechanics
Volume 132, Issue 3

Abstract

This paper numerically investigates the dynamic instability of different elastic-plastic beams subjected to transverse pulse load. Two types of beam dynamic instability, i.e., symmetrical and asymmetrical instabilities, are studied. The unstable responses of the elastic-plastic beams are illustrated by investigating the modal participation factors of the lowest nine vibration modes, which are determined by inverse derivation of the numerically simulated beam deflection response. The critical pulse loads for the beam symmetrical and asymmetrical instabilities are obtained with respect to different load durations. Characteristic diagrams for beams with different boundary conditions and subjected to different type pulse loads are given. The present study conforms that not only axial compressive load induces instability of slender members, but also transverse pulse load results in instability of elastic-plastic beams.

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References

Ari-Gur, J., and Elishakoff, I. (1997). “Dynamic instability of a transversely isotropic column subjected to a compressive pulse.” Comput. Struct., 62(5), 811–815.
Cao, Z. Y. (1989). Vibration theory of plates and shells. Chinese Railway, Beijing (in Chinese).
Cui, S., Cheong, H. K., and Hao, H. (1999). “Dynamic buckling of simply supported columns under axial slamming.” J. Eng. Mech., 125(5), 513–520.
Cui, S., Hao, H., and Cheong, H. K. (2001). “Dynamic buckling and post-buckling of imperfect columns under fluid–solid interaction.” Int. J. Solids Struct., 38, 8879–8897.
Genna, F., and Symonds, P. S. (1988). “Dynamic plastic instabilities in response to short-pulse excitation: effects of slenderness ratio and damping.” Proc. R. Soc. London, Ser. A 417, 31–44.
Hao, H., Cheong, H. K., and Cui, S. (2000). “Analysis of imperfect column buckling under intermediate velocity impact.” Int. J. Solids Struct., 37, 5297–5313.
Karagiozova, D., and Jones, N. (1996a). “Multi-degrees of freedom model for dynamic buckling of an elastic-plastic structure.” Int. J. Solids Struct., 33(23), 3377–3398.
Karagiozova, D., and Jones, N. (1996b). “Dynamic elastic-plastic buckling phenomena in a rod due to axial impact.” Int. J. Impact Eng., 18(7–8), 919–947.
Kenny, S., Taheri, F., and Pegg, N. (2002). “Experimental investigations on the dynamic plastic buckling of a slender beam subject to axial impact.” Int. J. Impact Eng., 27, 1–17.
Lepik, Ü. (2000). “On dynamic buckling of elastic-plastic beams.” Int. J. Non-Linear Mech., 35, 721–734.
Li, Q. M., Zhao, L. M., and Yang, G. T. (1991). “Experimental results on the counterintuitive behavior of thin clamped beams subjected to projectile impact.” Int. J. Impact Eng., 11(3), 341–348.
Lindberg, H. E., and Florence, A. L. (1987). Dynamic pulse buckling—Theory and experiment, Martinus Nijhoff, Dordrecht, The Netherlands.
Liu, Y. M., Ma, G. W., and Li, Q. M. (2004). “Chaotic and asymmetrical beam response to impulsive load.” Int. J. Solids Struct., 41(3-4), 765–784.
Livermore Software Technology Corporation. (2001). LS-DYNA Keyword User’s Manual, Version 960. Livermore, Calif.
Ma, G. W., Liu, Y. M., and Li, Q. M. (2004), “Characterization of asymmetrical beam instability to impulsive load.” Int. J. Solids Struct., 41(22–23), 6273–6289.
Ma, G. W., Liu, Y. M., Zhao, J., and Li, Q. M. (2005), “Dynamic asymmetrical instability of elastic-plastic beams.” Int. J. Mech. Sci. 47, 43–62.
Symonds, P. S., and Lee, J. Y. (1992). “Anomalous and unpredictable response to short pulse loading.” Recent advances in impact dynamics of engineering structures, D. Hui and N. Jones, eds., ASME, New York, 31–38.
Symonds, P. S., McNamara, J. F., and Genna, F. (1986). “Vibrations and permanent displacements of a pin-ended beam deformed plastically by short pulse excitation.” Int. J. Impact Eng., 4, 73–82.
Symonds, P. S., and Yu, T. X. (1985). “Counterintuitive behavior in a problem of elastic-plastic beam dynamics.” J. Appl. Mech., 52, 517–522.

Information & Authors

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Published In

Go to Journal of Engineering Mechanics
Journal of Engineering Mechanics
Volume 132Issue 3March 2006
Pages: 260 - 267

History

Received: Jan 26, 2004
Accepted: Jul 6, 2005
Published online: Mar 1, 2006
Published in print: Mar 2006

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Notes

Note. Associate Editor: Nicos Makris

Authors

Affiliations

Assistant Professor, School of Civil and Environmental Engineering, Nanyang Technological Univ., Singapore 639798 (corresponding author). E-mail: [email protected]
PhD candidate, School of Civil and Environmental Engineering, Nanyang Technological Univ., Singapore 639798. E-mail: [email protected]
Qingming Li [email protected]
Lecturer, Dept. of Mechanical, Aerospace, and Manufacturing Engineering, UMIST, P.O. Box 88, Manchester M60 1QD, U.K. E-mail: [email protected]

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