TY - GEN
T1 - An experimental study of bifurcation and chaos in a dynamically-buckled magneto-elastic system
AU - Cusumano, J. P.
AU - Sharkady, M. T.
N1 - Funding Information:
The authors would like to thank Bart Kimble for assistance in programming the data acquisition hardware. This work was partially supported by the Air Force Office of Scientific Research grant AFOSR-91-0430.
Publisher Copyright:
© 1993 American Society of Mechanical Engineers (ASME). All rights reserved.
PY - 1993
Y1 - 1993
N2 - 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.
AB - 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.
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U2 - 10.1115/DETC1993-0107
DO - 10.1115/DETC1993-0107
M3 - Conference contribution
AN - SCOPUS:85104189787
T3 - Proceedings of the ASME Design Engineering Technical Conference
SP - 207
EP - 213
BT - 14th Biennial Conference on Mechanical Vibration and Noise
PB - American Society of Mechanical Engineers (ASME)
T2 - ASME 1993 Design Technical Conferences, DETC 1993
Y2 - 19 September 1993 through 22 September 1993
ER -