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

Abstract

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.