On nonlinear dynamics behavior and control of a new model of a magnetically levitated vibrating system, excited by an unbalanced DC motor of limited power supply

We analyze new results on a magnetically levitated body (a block including a magnet whose bottom pole is set in such a way as to repel the upper pole of a magnetic base) excited by a non-ideal energy source (an unbalanced electric motor of limited power supply). These new results are related to the...

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Bibliographic Details
Published inJournal of the Brazilian Society of Mechanical Sciences and Engineering Vol. 37; no. 4; pp. 1139 - 1150
Main Authors Arbex, Hassan Costa, Balthazar, José Manoel, de Pontes Junior, Bento Rodrigues, da Fonseca Brasil, Reyolando Manoel Lopes Rebello, Felix, Jorge Luis Palacios, Tusset, Angelo Marcelo, Bueno, Átila Madureira
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.07.2015
Subjects
Engineering
Mechanical Engineering
Technical Paper
Magnetically levitated body
Non-ideal energy source
Sommerfeld effect
Passive control
Active control
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Summary:We analyze new results on a magnetically levitated body (a block including a magnet whose bottom pole is set in such a way as to repel the upper pole of a magnetic base) excited by a non-ideal energy source (an unbalanced electric motor of limited power supply). These new results are related to the jump phenomena and increase of power required of such sources near resonance are manifestations of a non-ideal system and they are referred as the Sommerfeld effect, which emulates an energy sink. In this work, we also discuss control strategies to be applied to this system, in resonance conditions, in order to decrease its vibration amplitude and avoiding this apparent energy sink.
ISSN:1678-5878
1806-3691
DOI:10.1007/s40430-014-0233-0