An experimental study of bifurcation and chaos in a dynamically-buckled magneto-elastic system

J. P. Cusumano, M. T. Sharkady

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

Results are presented from an experimental study of the dynamics of a lightly-damped, flexible beam which is buckled and unbuckled magnetically. The system is parametrically excited by driving an electromagnet with a low-frequency sine wave. For voltage amplitudes in excess of the static bifurcation value, the beam will slowly switch between the one and two-well configurations. Experimental static and dynamic bifurcation results are presented. Poincard sections of a chaotic steady-state are obtained for various values of the driving phase, and the correlation dimension of the chaotic attractor is estimated. Singular system analysis is used to demonstrate the effect of delay time on the noise level in delay-reconstructions, and to provide an independent check on the dimension estimate by directly estimating the number of independent coordinates from time series data.

Original languageEnglish (US)
Title of host publication14th Biennial Conference on Mechanical Vibration and Noise
Subtitle of host publicationDynamics and Vibration of Time-Varying Systems and Structures
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages207-213
Number of pages7
ISBN (Electronic)9780791811733
DOIs
StatePublished - 1993
EventASME 1993 Design Technical Conferences, DETC 1993 - Albuquerque, United States
Duration: Sep 19 1993Sep 22 1993

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
VolumePart F167972-5

Conference

ConferenceASME 1993 Design Technical Conferences, DETC 1993
CountryUnited States
CityAlbuquerque
Period9/19/939/22/93

All Science Journal Classification (ASJC) codes

  • Mechanical Engineering
  • Computer Graphics and Computer-Aided Design
  • Computer Science Applications
  • Modeling and Simulation

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