Viscoplastic Response of Clamped Beams under Impact Loading
Publication: Journal of Structural Engineering
Volume 117, Issue 12
Abstract
A three‐stage analytical model for predicting the final midpoint deflections of viscoplastic, clamped beams under impact loading conditions is presented. The model includes traveling plastic hinges and accounts for strain rate sensitivity by continuously varying the dynamic yield stress parameter during the impact event. This new model is compared both with another impact model and with two different sets of experimental results for steel and aluminum beams. In addition, the finite element program, ABAQUS, is employed to provide a detailed history of the dynamic response of the system. The finite element results are used to assess the appropriateness of the simplifying assumptions contained in the three‐stage model. The model predictions are shown to be in good agreement with both sets of experimental results and the assumptions made in developing the model are in general agreement with the ABAQUS predictions.
Get full access to this article
View all available purchase options and get full access to this article.
References
1.
Bodner, S. R., and Symonds, P. S. (1962). “Experimental and theoretical investigation of the plastic deformation of cantilever beams subjected to impulsive loading.” J. Appl. Mech., 29 (Dec.), 719–728.
2.
Hodge, P. G. (1959). Plastic analysis of structures. McGraw‐Hill Book Co., New York, N.Y.
3.
Humphreys, J. S. (1965). “Plastic deformation of impulsively loaded straight clamped beams.” J. Appl. Mech., 32 (Mar.), 7–10.
4.
Jones, N. (1967). “Influence of strain‐hardening and strain‐rate sensitivity on the permanent deformation of impulsive loaded rigid‐plastic beams.” Int. J. Mech. Sci., 9 (Dec.), 777–796.
5.
Liu, J. H., and Jones, N. (1987). “Experimental investigation of clamped beams struck transversely by a mass.” Int. J. Impact Engrg., 6(4), 303–335.
6.
Liu, J. H., and Jones, N. (1988). “Dynamic response of a rigid plastic clamped beam struck by a mass at any point on the span.” Int. J. Solids Struct., 24(3), 251–270.
7.
Martin, J. B., and Symonds, P. S. (1966). “Mode approximations for impulsively‐loaded rigid‐plastic structures.” J. Engrg. Mech. Div., ASCE, 92(5), 43–65.
8.
Nonaka, T. (1967a). “Some interaction effects in a rigid, perfectly plastic beam.” J. Appl. Mech., 34 (Sept.)), 623–630.
9.
Nonaka, T. (1967b). “Some interaction effects in a problem of plastic beam dynamics, part 2: Analysis of a structure as a system of one degree of freedom.” J. Appl. Mech., 34 (Sept.), 623–630.
10.
Nonaka, T. (1967c). “Some interaction effects in a problem of plastic beam dynamics, part 3: Experimental study.” J. Appl. Mech., 34 (Sept.), 623–643.
11.
Parkes, E. W. (1955). “The permanent deformation of a cantilever struck transversely at its tip.” Proc. of the Royal Soc., Royal Society of London, 228, 462–476.
12.
Parkes, E. W. (1958). “The permanent deformation of an encastre beam struck transversely at any point in its span.” Proc. Inst. of Civ. Engrs., Institute of Civil Engineers, 10, 277–304.
13.
Symonds, P. S., and Fleming, Jr., W. T. (1984). “Parkes revisited: On rigid‐plastic and elastic‐plastic dynamic structural analysis.” Int. J. Impact Engrg., 2(1), 1–36.
14.
Symonds, P. S., and Jones, N. (1972). “Impulsive loading of fully clamped beams with finite plastic deflections and strain‐rate sensitivity.” Int. J. Mech. Sci., 14 (Jan.), 49–69.
15.
Symonds, P. S., and Mentel, T. J. (1958). “Impulsive loading of plastic beams with axial constraints.” J. Mech. and Physics of Solids, 6( (May), 186–202.
16.
Symonds, P. S., and Mosquero, J. M. (1985). “A simplified approach to elastic‐plastic response to general pulse loads.” J. Appl. Mech., 52 (Mar.), 115–121.
17.
Symonds, P. S., and Yu, T. X. (1985). “Counterintuitive behavior in a problem of elastic‐plastic beam dynamics.” J. Appl. Mech., 52 (Sept.), 517–521.
18.
Ting, T. C. T. (1964). “The plastic deformation of a cantilever beam with strain‐rate sensitivity under impulsive loading.” J. Appl. Mech., 31 (Mar.), 38–42.
19.
Ting, T. C. T. (1965). “Large deformation of a rigid, ideally plastic cantilever beam.” J. Appl. Mech., 32 (June), 295–302.
20.
Yu, T. S., Symonds, P. S., and Johnson, W. (1985). “A quadrantal circular beam subjected to radial impact in its own plane at its tip by a rigid mass.” Proc. Royal Soc. London, Royal Society of London, 19–36.
Information & Authors
Information
Published In
Copyright
Copyright © 1991 ASCE.
History
Published online: Dec 1, 1991
Published in print: Dec 1991
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.