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dc.contributor.authorGhirardo, Giulioen
dc.contributor.authorĆosić, Bernharden
dc.contributor.authorJuniper, Matthewen
dc.contributor.authorMoeck, Jonas Pen
dc.date.accessioned2015-06-05T14:10:42Z
dc.date.available2015-06-05T14:10:42Z
dc.date.issued2015-05-08en
dc.identifier.citationGhirardo et al. Nonlinear Dynamics (2015) Vol. 82, Issue 1-2 , pp. 9-28. doi:10.1007/s11071-015-2134-xen
dc.identifier.issn0924-090X
dc.identifier.urihttps://www.repository.cam.ac.uk/handle/1810/248287
dc.description.abstractThe describing function is a powerful tool for characterizing nonlinear dynamical systems in the frequency domain. In some cases, it is the only available description of a nonlinear operator characterizing a certain subcomponent of the system. This paper presents a methodology to provide a state-space realization of one given describing function, in order to allow the study of the system in the time domain as well. The realization is based on Hammerstein models and Fourier–Bessel series. It can be embedded in time domain simulations of complex configurations with many nonlinear elements interacting, accurately describing the nonlinear saturation of the system. The technique is applied to an example application in the field of combustion instability, featuring self-excited thermoacoustic oscillations. We benchmark the performance of the tool comparing the results with a frequency domain analysis of the same system, obtaining good agreement between the two formulations.
dc.description.sponsorshipThis work was supported by the European Research Council through project ALORS N.259620 and by the German Research Association for Combustion Engines (Forschungsvereinigung Verbrennungskraftmaschinen e.V. FVV).
dc.languageEnglishen
dc.language.isoenen
dc.publisherSpringer
dc.titleState-space realization of a describing functionen
dc.typeArticle
dc.description.versionThis is the accepted manuscript of a paper published in Nonlinear Dynamics (Ghirardo G, Ćosić B, Juniper MP, Moeck JP, Nonlinear Dynamics, 2015, doi:10.1007/s11071-015-2134-x). The final version is available at http://dx.doi.org/10.1007/s11071-015-2134-xen
prism.endingPage28
prism.publicationDate2015en
prism.publicationNameNonlinear Dynamicsen
prism.startingPage9
prism.volume82en
dc.rioxxterms.funderERC
dc.rioxxterms.funderALORS N.259620
dc.rioxxterms.funderGerman Research Association for Combustion Engines
rioxxterms.versionofrecord10.1007/s11071-015-2134-xen
rioxxterms.licenseref.urihttp://www.rioxx.net/licenses/all-rights-reserveden
rioxxterms.licenseref.startdate2015-05-08en
dc.contributor.orcidJuniper, Matthew [0000-0002-8742-9541]
dc.identifier.eissn1573-269X
rioxxterms.typeJournal Article/Reviewen
pubs.funder-project-idEuropean Research Council (259620)
rioxxterms.freetoread.startdate2016-05-08


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