Stability analysis of a rotor-AMB system with time varying stiffness

作者: H.S. Bauomy

DOI: 10.1016/J.JFRANKLIN.2012.02.012

关键词: Rotor (electric)Multiple-scale analysisNonlinear systemExcitationStiffnessControl theoryMagnetic bearingMaterials scienceResonanceNonlinear resonanceMechanics

摘要: Abstract A rotor-active magnetic bearing (AMB) system subjected to a periodically time-varying stiffness with quadratic and cubic nonlinear under tuned, external excitation is studied. The method of multiple scales applied analyze the response two modes rotor-AMB near simultaneous combined sub-harmonic resonance. stability steady-state solution for that resonance determined studied applying Rung–Kutta fourth order method. It shown exhibits many typical behaviors, including multiple-valued solutions, jump phenomenon, hardening softening chaos in second mode system. effects different parameters on solutions are investigated discussed.

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