Harmonic Balance Analysis for the Rigid Finite Element Model of the Rotating Cracked Shaft

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Abstract:

The paper presents a multi-dimensional harmonic balance analysis utilized to study the vibration responses of the cracked rotor subject to gravity, unbalance and an additional lateral harmonic force generated by an active magnetic bearing. The nonlinear terms resulting from the shaft crack are included via an alternating frequency/time domain (AFT) method. The example addressed in this paper is a simple rotor modeled by using the rigid finite element (RFE) approach. Combination frequencies are recognized as evident symptoms of the shaft crack.

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Periodical:

Solid State Phenomena (Volume 199)

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99-104

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Online since:

March 2013

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© 2013 Trans Tech Publications Ltd. All Rights Reserved

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[1] Guskov M., Sinou J. J., Thouverez F., Multi-dimensional harmonic balance applied to rotor dynamics. Mechanics Research Communications 35 (2008) 537-545.

DOI: 10.1016/j.mechrescom.2008.05.002

Google Scholar

[2] Kruszewski J., Sawiak S., Wittbrodt E., Metoda sztywnych elementow skonczonych w dynamice konstrukcji (The rigid finite element method in dynamics of structures). WNT, Warszawa (1999).

Google Scholar

[3] Kulesza Z., Sawicki J. T., Rigid finite element model of a cracked rotor. Journal of Sound and Vibration - under review.

DOI: 10.1016/j.jsv.2012.04.014

Google Scholar

[4] Sarrouy E., Sinou J. J., Non-linear periodic and quasi-periodic vibrations in mechanical systems - on the use of the harmonic balance methods. In: Advances in Vibration Analysis Research edited by F. Ebrahimi. InTech (2011).

DOI: 10.5772/15638

Google Scholar

[5] Sawicki J. T., Friswell M. I., Kulesza Z., Wroblewski A., Lekki J. D., Detecting cracked rotors using auxiliary harmonic excitation. Journal of Sound and Vibration 330 (2011) 1365-1381.

DOI: 10.1016/j.jsv.2010.10.006

Google Scholar

[6] Sinou J. J., Lees A. W., The influence of cracks in rotating shafts. Journal of Sound and Vibration 285 (2005) 1015-1037.

DOI: 10.1016/j.jsv.2004.09.008

Google Scholar

[7] Villa C., Sinou J. J., Thouverez F., Stability and vibration analysis of a complex flexible rotor bearing system. Communications in Nonlinear Science and Numerical Simulation 13 (2008) 804-821.

DOI: 10.1016/j.cnsns.2006.06.012

Google Scholar

[8] Wittbrodt E., Adamiec-Wójcik I., Wojciech S., Dynamics of flexible multibody systems: rigid finite element method. Springer-Verlag Berlin Heidelberg (2006).

DOI: 10.1002/zamm.200790009

Google Scholar