RESONANCE RESPONSE OF A SIMPLY SUPPORTED ROTOR-MAGNETIC BEARING SYSTEM BY HARMONIC BALANCE

DOI10.1142/S0218127412501362zbMath1270.34127MaRDI QIDQ2843574

Zhongjin Guo, Andrew Y. T. Leung

Publication date: 23 August 2013

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

zbMATH Keywords

nonlinear responsesuperharmonic resonancerotor-magnetic bearing systempolynomial homotopy continuationtotal harmonic balance

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Bifurcations and instability for nonlinear problems in mechanics (70K50) Qualitative investigation and simulation of ordinary differential equation models (34C60) Nonlinear resonances for nonlinear problems in mechanics (70K30)

Related Items (1)

Higher-order approximate steady-state solutions for strongly nonlinear systems by the improved incremental harmonic balance method

Cites Work

• Non-linear oscillations of a rotor-magnetic bearing system under superharmonic resonance conditions
• Dynamic behavior of an AMB supported rotor subject to harmonic excitation
• Nonlinear behavior of a rotor-AMB system under multi-parametric excitations
• NONLINEAR DYNAMIC BEHAVIOR OF A ROTOR ACTIVE MAGNETIC BEARING
• Construction of chaotic regions
• Amplitude Incremental Variational Principle for Nonlinear Vibration of Elastic Systems

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