White Rose University Consortium logo
University of Leeds logo University of Sheffield logo York University logo

Piecewise Volterra modelling of the Duffing oscillator in the frequency domain

Li, L.M. and Billings, S.A. (2010) Piecewise Volterra modelling of the Duffing oscillator in the frequency domain. Research Report. ACSE Research Report no. 1015 . Automatic Control and Systems Engineering, University of Sheffield

Full text available as:
[img]
Preview
Text
1015.pdf

Download (417Kb)

Abstract

When analysing the nonlinear Duffing oscillator, the weak nonlinearity is basically dependent on the amplitude range of the input excitation. The nonlinear differential equation models of such nonlinear oscillators, which can be transformed into the frequency domain, can generally only provide Volterra modelling and analysis in the frequency-domain over a fraction of the entire framework of weak nonlinearity. This paper discusses the problem of using a new non-parametric routine to extend the capability of Volterra analysis, in the frequency domain, to weakly nonlinear Duffing systems at a wider range of excitation amplitude range which the current underlying nonlinear differential equation models fail to address.

Item Type: Monograph (Research Report)
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.
Keywords: Volterra series, GFRF’s, non-parametric methods
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: 17 Oct 2012 15:07
Last Modified: 06 Jun 2014 08:22
Status: Published
Publisher: Automatic Control and Systems Engineering, University of Sheffield
URI: http://eprints.whiterose.ac.uk/id/eprint/74666

Actions (login required)

View Item View Item