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

Joseph Paul 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. Poincare 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 publicationDynamics and Vibration of Time-Varying Systems and Structures
EditorsMo Shahinpoor, H.S. Tzou
PublisherPubl by ASME
Pages207-213
Number of pages7
ISBN (Print)0791811735
StatePublished - Dec 1 1993
Event14th Biennial Conference on Mechanical Vibration and Noise - Albuquerque, NM, USA
Duration: Sep 19 1993Sep 22 1993

Publication series

NameAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
Volume56

Other

Other14th Biennial Conference on Mechanical Vibration and Noise
CityAlbuquerque, NM, USA
Period9/19/939/22/93

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All Science Journal Classification (ASJC) codes

  • Engineering(all)

Cite this

Cusumano, J. P., & Sharkady, M. T. (1993). Experimental study of bifurcation and chaos in a dynamically-buckled magneto-elastic system. In M. Shahinpoor, & H. S. Tzou (Eds.), Dynamics and Vibration of Time-Varying Systems and Structures (pp. 207-213). (American Society of Mechanical Engineers, Design Engineering Division (Publication) DE; Vol. 56). Publ by ASME.