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Meccanica
Published in: Meccanica 4/2016

12-07-2015

Nonlinear and linearised behaviour of the Levitron®

Authors: Elvio Bonisoli, Cristiana Delprete

Published in: Meccanica | Issue 4/2016

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Abstract

The paper presents a magneto-rotordynamic model that allows to obtain the nonlinear equations of motion for all rigid body modes of the Levitron®. These equations describe the complete dynamic behaviour of the spinning top and highlight the presence of stability fields related to its spin speed and vertical position of levitation. The developed model takes into account the effect of the aerodynamic drag torque on the sides of the spinning top too. An experimental investigation has been developed to experimentally identify the complex dynamic behaviour of the spinning top; a dedicated test bench and some tests are discussed. By means of the numerical integration of the equations of motion, the spatial trajectories of the spinning top have been computed and validated by comparison with the experimental test results.
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Metadata
Title
Nonlinear and linearised behaviour of the Levitron®
Authors
Elvio Bonisoli
Cristiana Delprete
Publication date
12-07-2015
Publisher
Springer Netherlands
Published in
Meccanica / Issue 4/2016
Print ISSN: 0025-6455
Electronic ISSN: 1572-9648
DOI
https://doi.org/10.1007/s11012-015-0238-5

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