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RESEARCH PAPERS

The Pseudo-Shakedown of Beams and Plates When Subjected to Repeated Dynamic Loads

[+] Author and Article Information
Wei Qin Shen, Norman Jones

Impact Research Centre, Department of Mechanical Engineering, The University of Liverpool, Liverpool L69 3BX, U.K.

J. Appl. Mech 59(1), 168-175 (Mar 01, 1992) (8 pages) doi:10.1115/1.2899423 History: Received February 26, 1990; Revised October 10, 1990; Online March 31, 2008

Abstract

A conjecture is derived in this paper for the pseudo-shakedown phenomenon of beams and plates which strengthen with finite displacements when subjected to repeated dynamic transverse loads causing material plastic flow and permanent deflections. This behavior is illustrated for a fully clamped, rigid, perfectly plastic beam which is subjected to a repeatedly applied, rectangular-shaped pressure-time history at the midspan. It transpires that a curve divides the dynamic load magnitude-pulse duration time area into two regions where pseudo-shakedown may or may not occur. Another curve in the region where pseudo-shakedown does not occur identifies when the dynamic problem may be studied with a static analysis.

Copyright © 1992 by The American Society of Mechanical Engineers
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