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

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Dupac, M., Beale, D. G. and Overfelt, R. A., 2005. Three-dimensional Lumped Mass/Lumped Spring Modeling and Nonlinear Behavior of a Levitated Droplet. Nonlinear Dynamics, 42 (1), pp. 25-42.

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DOI: 10.1007/s11071-005-0046-x

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.

Item Type:Article
ISSN:0924-090X
Uncontrolled Keywords:electromagnetic levitation - lumped mass/lumped spring systems - nonlinear systems
Subjects:Science > Mathematics
Technology > Engineering > General Engineering
Group:School of Design, Engineering & Computing > Design Simulation Research Centre
ID Code:14155
Deposited By:Dr. Mihai Dupac
Deposited On:29 Apr 2010 21:11
Last Modified:07 Mar 2013 15:26
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