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REVIEW ARTICLES

Studies in Chaotic Vibrations of Buckled Beams

[+] Author and Article Information
S. Hanagud

School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332-0150

N. S. Abhyankar

Department of Aerospace and Mechanical Engineering, Syracuse University, Syracuse, New York, 13244

R. Chander

School of Aerospace Engineering, Georgia Institute of Technology, Atlanta, Georgia 30332

Appl. Mech. Rev 42(11S), S100-S107 (Nov 01, 1989) doi:10.1115/1.3152377 History: Online June 03, 2009

Abstract

We have studied chaotic vibrations of buckled beams with base excitations. Nonlinearities due to the stretching of the neutral axis, transverse stops and their combination have been studied. The resulting ordinary and partial differential equations have been integrated numerically. Results have been presented in the form of phase plane plots and bifurcation diagrams.

Copyright © 1989 by The American Society of Mechanical Engineers
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