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Regular and chaotic vibrations in the rub impact model of a Jeffcott rotor with a fractional restore force

Published online by Cambridge University Press:  09 December 2013

Grzegorz Litak  and
Jerzy T. Sawicki
Grzegorz Litak*
Affiliation:
Department of Applied Mechanics, Technical University of Lublin, Nadbystrzycka 36, PL-20-618 Lublin, Poland
Jerzy T. Sawicki
Affiliation:
Cleveland State University, Department of Mechanical Engineering, Cleveland, OH 44115, USA
*
ae-mail: g.litak@pollub.pl
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Abstract

We study the solutions and bifurcations of the Jeffcott rotor with a rubbing effect. The model of horizontal rotor possesses such nonlinear effects as inertia, dry friction, and contact loss between the rotor and stator. By the exceeding of the rotor-stator radius clearance, the rotor can penetrate into the limiting rubbers with a fractional power in the restore force. The system response is analyzed by a bifurcation diagram. The specific cases are additionally clarified by means standard methods and quantified by the test 0-1 which is sensitive to chaotic behaviour.

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Type
Research Article
Information
The European Physical Journal - Applied Physics , Volume 64 , Issue 3 , December 2013 , 31303
Copyright
© EDP Sciences, 2013

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