Nonlinear study of a rotor-AMB system under simultaneous primary-internal resonance

DOI10.1016/J.APM.2009.12.011zbMath1201.70014OpenAlexW2035964384MaRDI QIDQ611495

Sumit K. Garg

Publication date: 14 December 2010

Published in: Applied Mathematical Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.apm.2009.12.011

zbMATH Keywords

stabilityjump phenomenonmultiple-valued solutionstime-varying stiffnessmulti-parametric excitationsrotor-active magnetic bearing

Mathematics Subject Classification ID

Stability for nonlinear problems in mechanics (70K20) Parametric resonances for nonlinear problems in mechanics (70K28)

Related Items (7)

Dynamic behavior of magnetic bearing system under narrow-band excitation ⋮ Primary resonance analysis of a nonlinear flexible shaft supported by active magnetic bearings using analytical method ⋮ Nonlinear oscillations of rotor active magnetic bearings system ⋮ Hopf bifurcation and control of magnetic bearing system with uncertain parameter ⋮ Time-delayed control to suppress the nonlinear vibrations of a horizontally suspended Jeffcott-rotor system ⋮ Saturation-based active controller for vibration suppression of a four-degree-of-freedom rotor-AMB system ⋮ Predicting nonlinear dynamic response of internal cantilever beam system on a steadily rotating ring

Cites Work

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• Global bifurcations and chaos for a rotor-active magnetic bearing system with time-varying stiffness
• Periodic and chaotic motions of a rotor-active magnetic bearing with quadratic and cubic terms and time-varying stiffness
• Sliding mode control for active magnetic bearing system with flexible rotor
• Global dynamics of a parametrically and externally excited thin plate

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