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Title of Journal: Nonlinear Dyn

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Abbravation: Nonlinear Dynamics

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Springer Netherlands

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DOI

10.1002/pmic.201090056

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1573-269X

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Vibration suppression of a timevarying stiffness

Authors: M Eissa M Kamel A AlMandouh
Publish Date: 2014/08/26
Volume: 78, Issue: 4, Pages: 2439-2457
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Abstract

The applications of active magnetic bearings are growing in industry due to its amazing advantages in reducing friction losses In this research the vibration of a twodegreeoffreedom rotor active magnetic bearings system is suppressed via a nonlinear time delay controller at the confirmed worst resonance case The selected resonance case is the simultaneous primary and subharmonic resonance case The main aim of this paper was to study the effects of the nonlinear time delay controller on the behavior of the vibrating system The multiple time scale perturbation technique is applied to obtain an approximate solution to the secondorder approximation The steadystate solution is obtained around the worst resonance case The stability of the system is studied applying both frequency response equations and phaseplane method The worst resonance case is confirmed applying numerical technique The effects of the different parameters on the steadystate response of the vibrating system are investigated The obtained approximate solution is validated numerically Some recommendations are given regarding the design of such system At the end of the work a comparison is made with the available published work

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