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Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis

Peng, Z.K., Lang, Z.Q., Billings, S.A. and Tomlinson, G.R. (2008) Comparisons between harmonic balance and nonlinear output frequency response function in nonlinear system analysis. Journal of Sound and Vibration, 311 (1-2). pp. 56-73. ISSN 0022-460X

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Abstract

By using the Duffing oscillator as a case study, this paper shows that the harmonic components in the nonlinear system response to a sinusoidal input calculated using the Nonlinear Output Frequency Response Functions (NOFRFs) are one of the solutions obtained using the Harmonic Balance Method (HBM). A comparison of the performances of the two methods shows that the HBM can capture the well-known jump phenomenon, but is restricted by computational limits for some strongly nonlinear systems and can fail to provide accurate predictions for some harmonic components. Although the NOFRFs cannot capture the jump phenomenon, the method has few computational restrictions. For the nonlinear damping systems, the NOFRFs can give better predictions for all the harmonic components in the system response than the HBM even when the damping system is strongly nonlinear.

Item Type: Article
Copyright, Publisher and Additional Information: © 2008 Elsevier B.V. This is an author produced version of a paper published in Journal of Sound and Vibration. Uploaded in accordance with the publisher's self-archiving policy.
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Mechanical Engineering (Sheffield)
The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield)
Depositing User: Sherpa Assistant
Date Deposited: 10 Apr 2008 10:50
Last Modified: 08 Feb 2013 16:55
Published Version: http://dx.doi.org/10.1016/j.jsv.2007.08.035
Status: Published
Publisher: Elsevier B.V
Refereed: Yes
Identification Number: 10.1016/j.jsv.2007.08.035
URI: http://eprints.whiterose.ac.uk/id/eprint/3743

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