This paper describes the coupling of a Multi-Dimensional Harmonic Balance Method (MHBM) with a Polynomial Chaos Expansion (PCE) to determine the dynamic response of quasi-periodic dynamic systems subjected to multiple excitations and uncertainties. The proposed method will be applied to a rotor system excited at its support. Uncertainties considered include both material and geometrical parameters as well as excitation sources. To demonstrate the effectiveness and validity of the proposed numerical approach, the results that include mean, variation of the response, envelopes of the Frequency Response Functions and orbits will be systematically compared to a classical Monte Carlo approach.
Multi-Dimensional Harmonic Balance With Uncertainties Applied to Rotor Dynamics
Contributed by the Design Engineering Division of ASME for publication in the Journalof Vibrationand Acoustics. Manuscript received June 24, 2011; final manuscript received March 12, 2012; published online September 10, 2012. Assoc. Editor: Paul C.-P. Chao.
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Didier, J., Sinou, J., and Faverjon, B. (September 10, 2012). "Multi-Dimensional Harmonic Balance With Uncertainties Applied to Rotor Dynamics." ASME. J. Vib. Acoust. December 2012; 134(6): 061003. https://doi.org/10.1115/1.4006645
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