Eur. Phys. J. Appl. Phys. (2013) 64: 31303
https://doi.org/10.1051/epjap/2013130299

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

¹ Department of Applied Mechanics, Technical University of Lublin, Nadbystrzycka 36, PL-20-618 Lublin, Poland
² Cleveland State University, Department of Mechanical Engineering, Cleveland, OH 44115, USA

^a e-mail: g.litak@pollub.pl

Received: 24 June 2013
Revised: 26 July 2013
Accepted: 8 November 2013
Published online: 9 December 2013

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.