Counterintuitive Behavior in a Problem of Elastic-Plastic Beam Dynamics

[+] Author and Article Information
P. S. Symonds

Division of Engineering, Brown University, Providence, R.I. 02912

T. X. Yu

Department of Mechanics, Peking University, Beijing, Peoples Republic of China

J. Appl. Mech 52(3), 517-522 (Sep 01, 1985) (6 pages) doi:10.1115/1.3169093 History: Received December 01, 1984; Revised January 01, 1985; Online July 21, 2009


In a particular example of short pulse loading on a pin-ended beam, the permanent deflection is predicted by a numerical solution to be in the direction opposite that of the load. Analysis of a Shanley-type model shows that this surprising behavior may occur as a consequence of plastic irreversibility combined with geometric nonlinearity, when the peak deflection produced by the pulse lies in a certain range of small magnitudes. Results from a number of well-known structural dynamics codes are shown. These exhibit a wide spread in the predicted final deflections, indicating strong sensitivities of both physical and computational nature.

Copyright © 1985 by ASME
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