Three-dimensional lumped mass/lumped spring modeling and nonlinear behavior of a levitated droplet

Authors: Dupac, M., Beale, D.G. and Overfelt, R.A.

Journal: Nonlinear Dynamics

Volume: 42

Issue: 1

Pages: 25-42

ISSN: 0924-090X

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. © Springer 2005.

Source: Scopus

Three-dimensional lumped mass/lumped spring modeling and nonlinear behavior of a levitated droplet

Authors: Dupac, M., Beale, D.G. and Overfelt, R.A.

Journal: NONLINEAR DYNAMICS

Volume: 42

Issue: 1

Pages: 25-42

eISSN: 1573-269X

ISSN: 0924-090X

DOI: 10.1007/s11071-005-0046-x

Source: Web of Science (Lite)

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

Authors: Dupac, M., Beale, D.G. and Overfelt, R.A.

Journal: Nonlinear Dynamics

Volume: 42

Issue: 1

Pages: 25-42

Publisher: Springer

eISSN: 1573-269X

ISSN: 0924-090X

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.

http://link.springer.com/article/10.1007/s11071-005-0046-x

Source: Manual

Preferred by: Mihai Dupac