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nonlinear vibration analysis of a rotor supported by magnetic bearings using homotopy perturbation method

Propulsion and Power Research 2017年第3期6卷 223-232页

作者： Aboozar Heydari Mina Mirparizi Farshad Shakeriaski Farhad Sheykh Samani Mohamadreza Keshavarzi National Iranian Oil Company Iran Shahid Bahonar University of Kerman KermanIran University of Yazd YazdIran University of Sistan and Baluchestan ZahedanIran

In this paper,the effects of nonlinear forces due to the electromagnetic field of bearing and the unbalancing force on nonlinear vibration behavior of a rotor is *** rotor is modeled as a rigid body that is supported by two magnetic bearings with eightpolar *** governing dynamics equations of the system that are coupled nonlinear second order ordinary differential equations(ODEs)are derived,and for solving these equations,the homotopy perturbation method(HPM)is *** applying HPM,the possibility of presenting a harmonic semi-analytical solution,is *** fact,with equality the coefficient of auxiliary parameter(p),the system of coupled nonlinear second order and non-homogenous differential equations are obtained so that consists of unbalancing *** considering some initial condition for displacement and velocity in the horizontal and vertical directions,free vibration analysis is done and next,the forced vibration analysis under the effect of harmonic forces also is ***,various parameters on the vibration behavior of rotor are *** in amplitude and response phase per excitation frequency are *** show that by increasing excitation frequency,the motion amplitude is also increases and by passing the critical speed,it *** it shows that the magnetic bearing system performance is in stable maintenance of *** parameters affecting on vibration behavior,has been studied and by comparison the results with the other references,which have a good precision up to 2nd order of embedding parameter,it implies the accuracy of this method in current research.

关键词： nonlinear vibration behavior Rotor Magnetic bearing Unbalancing force Coupled nonlinear second order equations homotopy perturbation

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