Stability Analysis of a Levitated Droplet by Using Floquet Multipliers

[+] Author and Article Information
Bogdan O. Ciocirlan, Dan B. Marghitu

Department of Mechanical Engineering, Auburn University, Auburn, AL 36849

J. Vib. Acoust 122(4), 399-408 (Mar 01, 2000) (10 pages) doi:10.1115/1.1286215 History: Received September 01, 1999; Accepted March 01, 2000
Copyright © 2000 by ASME
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Correlation dimension (d) versus embedding dimension (D)
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Largest Lyapunov exponent (λ1) versus embedding dimension (D)
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Probability distribution of SUM voltage signal
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Probability distribution of the surrogate signal
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Surrogate data test for the SUM voltage signal
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(a) SUM voltage signal derivative (b) Zoom in
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Example of surrogate signal generated from the SUM voltage signal derivative
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(a) Power spectrum of the original x signal (b) Power spectrum of the smoothed x signal
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Return map for x position signal
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Floquet multipliers for the third experiment (applied DC voltage of 200 Vdc)
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Largest Floquet multiplier(s) for each experiment
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(a) SUM voltage signal (b) Zoom in
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Example of surrogate signal generated from the SUM voltage signal
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(a) Electromagnetic levitation instrument at Space Power Institute, Auburn University (b) Levitation coil and suspended droplet
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Sketch of the electromagnetic levitation instrument
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Surrogate data test for the SUM voltage signal derivative




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