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Analysis of bilinear oscillators under harmonic loading using nonlinear output frequency response functions

Peng, Z.K., Lang, Z.Q., Billings, S.A. and Lu, Y. (2007) Analysis of bilinear oscillators under harmonic loading using nonlinear output frequency response functions. International Journal of Mechanical Sciences, 49 (11). pp. 1213-1225. ISSN 0020-7403

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In this paper, the new concept of Nonlinear Output Frequency Response Functions (NOFRFs) is extended to the harmonic input case, an input-independent relationship is found between the NOFRFs and the Generalized Frequency Response Functions (GFRFs). This relationship can greatly simplify the application of the NOFRFs. Then, beginning with the demonstration that a bilinear oscillator can be approximated using a polynomial type nonlinear oscillator, the NOFRFs are used to analyze the energy transfer phenomenon of bilinear oscillators in the frequency domain. The analysis provides insight into how new frequency generation can occur using bilinear oscillators and how the sub-resonances occur for the bilinear oscillators, and reveals that it is the resonant frequencies of the NOFRFs that dominate the occurrence of this well-known nonlinear behaviour. The results are of significance for the design and fault diagnosis of mechanical systems and structures which can be described by a bilinear oscillator model.

Item Type: Article
Copyright, Publisher and Additional Information: © 2007 Elsevier B.V. This is an author produced version of a paper published in International Journal of Mechanical Sciences. Uploaded in accordance with the publisher's self-archiving policy.
Institution: The University of Sheffield
Academic Units: The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield)
Depositing User: Sherpa Assistant
Date Deposited: 10 Jan 2008 10:53
Last Modified: 08 Feb 2013 16:55
Published Version: http://dx.doi.org/10.1016/j.ijmecsci.2007.03.009
Status: Published
Publisher: Pergamon-Elsevier Science Ltd
Refereed: Yes
Identification Number: 10.1016/j.ijmecsci.2007.03.009
URI: http://eprints.whiterose.ac.uk/id/eprint/3551

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