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Three-Dimensional Lumped Mass/Lumped Spring Modeling and Nonlinear Behavior of a Levitated Droplet

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Abstract

The nonlinear dynamics time evolution of an electromagnetically levitated (EML) droplet is considered in this study. The droplet is modeled as a three dimensional system with lumped masses and elastic springs. A new expression for the spring elastic constants in a global stiffness matrix has been derived, and equations of motion presented. The chaotic behavior of the system is analyzed for different coil configurations. The stability of the motion is studied using the Lyapunov exponents. Computations were performed for droplets of aluminum and copper.

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Authors and Affiliations

  1. Department of Mechanical Engineering, Auburn University, Auburn, AL, 36849, U.S.A.

    Mihai Dupac, David G. Beale & Ruel A. Overfelt

Authors
  1. Mihai Dupac
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  2. David G. Beale
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  3. Ruel A. Overfelt
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Correspondence to Mihai Dupac.

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Dupac, M., Beale, D.G. & Overfelt, R.A. Three-Dimensional Lumped Mass/Lumped Spring Modeling and Nonlinear Behavior of a Levitated Droplet. Nonlinear Dyn 42, 25–42 (2005). https://doi.org/10.1007/s11071-005-0046-x

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  • DOI: https://doi.org/10.1007/s11071-005-0046-x

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