Chaotic Motion of an Elastic-Plastic Beam

[+] Author and Article Information
B. Poddar, F. C. Moon, S. Mukherjee

Department of Theoretical and Applied Mechanics, Cornell University, Ithaca, NY 14853

J. Appl. Mech 55(1), 185-189 (Mar 01, 1988) (5 pages) doi:10.1115/1.3173627 History: Received May 16, 1986; Revised July 15, 1987; Online July 21, 2009


A numerical study is presented here which suggests that chaotic motion is possible from periodic excitation of an elastic-plastic beam. Poincaré maps of the motion reveal a fractal-like structure of the attractor. The results suggest that geometric and material nonlinearities in solid mechanics problems may lead to extreme sensitivity to small changes in parameters and resulting unpredictability. These results may explain the total disagreement of nine finite element codes in the analysis of the transient response of an elastic-plastic beam, that has been reported recently by Symonds and his coworkers.

Copyright © 1988 by ASME
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