The Anomalous Response of an Elastic-Plastic Structural Model to Impulsive Loading

[+] Author and Article Information
T. X. Yu, Y. Xu

Department of Mechanics, Peking University, Beijing 100871 China

J. Appl. Mech 56(4), 868-873 (Dec 01, 1989) (6 pages) doi:10.1115/1.3176184 History: Received March 07, 1988; Revised December 06, 1988; Online July 21, 2009


To simulate the response of a pin-ended elastic-plastic beam, a nonlinear structural model, i.e., a double-tier-spring model is analyzed to follow its deformation process after it is subjected to impulsive loading. After examining the first integral of the equation of motion, in the final elastic vibration, combined with other conditions, a region in the parameter’s map is found in which the anomalous behavior (i.e., a negative-negative vibration) appears. This model is proved to be equivalent to the Shanley-type model adopted in previous analyses, but the present approach provides new results in a more complete way.

Copyright © 1989 by ASME
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