Li, L.M. and Billings, S.A. (2009) Analysis of nonlinear oscillators in the frequency domain using volterra series Part II : identifying and modelling jump Phenomenon. Research Report. ACSE Research Report no. 989 . Automatic Control and Systems Engineering, University of Sheffield
Abstract
In this the second part of the paper, a common and severe nonlinear phenomenon called jump, a behaviour associated with the Duffing oscillator and the multi-valued properties of the response solution, is investigated. The new frequency domain criterion of establishing the upper limits of the nonlinear oscillators, developed in Part I of this paper, is applied to predict the onset point of the jump, and the Volterra time and frequency domain analysis of this phenomenon are carried out based on graphical and numerical techniques.
Metadata
Item Type: | Monograph |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | The Department of Automatic Control and Systems Engineering research reports offer a forum for the research output of the academic staff and research students of the Department at the University of Sheffield. Papers are reviewed for quality and presentation by a departmental editor. However, the contents and opinions expressed remain the responsibility of the authors. Some papers in the series may have been subsequently published elsewhere and you are advised to cite the later published version in these instances. |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > Department of Automatic Control and Systems Engineering (Sheffield) > ACSE Research Reports |
Depositing User: | Miss Anthea Tucker |
Date Deposited: | 16 Oct 2012 09:29 |
Last Modified: | 04 Jun 2014 13:15 |
Status: | Published |
Publisher: | Automatic Control and Systems Engineering, University of Sheffield |
Series Name: | ACSE Research Report no. 989 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:74644 |