Nonlinear Study of Rotor-AMB System Subject to Multi-Parametric Excitations

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Abstract:

The non-linear response of a rotor supported by active magnetic bearings (AMB) under multi-parametric excitations is investigated. The method of multiple scales is applied to analyze the response of two modes of a rotorAMB system near the primary resonance case. The steady-state response of the system is studied numerically, applying the frequency response function method. It is shown that the system exhibits many typical non-linear behaviors including multiple-valued solutions, jump phenomenon, hardening non-linearity. The effects of the different parameters on the steady state solutions are investigated and discussed.

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359-364

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September 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] J. C. Ji, C. H. Hansen, A. C. Zander: J. Intell. Mater. Syst. Struct Vol. 19(2008), p.1471.

Google Scholar

[2] M. Mohamed, F. P. Emad: IEEE Trans Autom Control Vol. 38(1993), p.1242.

Google Scholar

[3] J. C. Ji, C. H. Hansen: J. Sound Vib Vol. 240(2001), p.599.

Google Scholar

[4] J. C. Ji, A. Y. T. Leung: Int. J. Non-linear Mech Vol. 38(2003), p.829.

Google Scholar

[5] W. Zhang, X. P. Zhan: Nonlinear Dyn Vol. 41(2005), p.331.

Google Scholar

[6] Y. A. Amer, U. H. Hegazy: Chaos, Solitions and Fract Vol. 34 (2007), p.1328.

Google Scholar

[7] M. Eissa, Y. A. Amer, A. S. Sabbah: ASME J. Vib. Acoust Vol. 128(2006), p.646.

Google Scholar

[8] M. Eissa, U. H. Hegazy, Y. A. Amer: Appl. Math. Model Vol. 32(2008), p.1370.

Google Scholar

[9] M. Kamel, H. S. Bauomy: Meccanica Vol. 45(2010), p.7.

Google Scholar

[10] H. S. Bauomy: J. Franklin. I Vol. 349(2012), p.1871.

Google Scholar