A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems

dc.contributor.authorJaksic, Vesna
dc.contributor.authorMandic, D. P.
dc.contributor.authorRyan, K.
dc.contributor.authorBasu, Biswajit
dc.contributor.authorPakrashi, Vikram
dc.date.accessioned2017-02-28T09:44:01Z
dc.date.available2017-02-28T09:44:01Z
dc.date.issued2016-01-06
dc.date.updated2017-02-28T09:33:50Z
dc.description.abstractAlthough vibration monitoring is a popular method to monitor and assess dynamic structures, quantification of linearity or nonlinearity of the dynamic responses remains a challenging problem. We investigate the delay vector variance (DVV) method in this regard in a comprehensive manner to establish the degree to which a change in signal nonlinearity can be related to system nonlinearity and how a change in system parameters affects the nonlinearity in the dynamic response of the system. A wide range of theoretical situations are considered in this regard using a single degree of freedom (SDOF) system to obtain numerical benchmarks. A number of experiments are then carried out using a physical SDOF model in the laboratory. Finally, a composite wind turbine blade is tested for different excitations and the dynamic responses are measured at a number of points to extend the investigation to continuum structures. The dynamic responses were measured using accelerometers, strain gauges and a Laser Doppler vibrometer. This comprehensive study creates a numerical and experimental benchmark for structurally dynamical systems where output-only information is typically available, especially in the context of DVV. The study also allows for comparative analysis between different systems driven by the similar input.en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationJaksic, V., Mandic, D. P., Ryan, K., Basu, B. and Pakrashi, V. (2016) 'A comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systems', Royal Society Open Science, 3,150493 . doi:10.1098/rsos.150493en
dc.identifier.doi10.1098/rsos.150493
dc.identifier.endpage150493-24en
dc.identifier.issn2054-5703
dc.identifier.journaltitleRoyal Society Open Scienceen
dc.identifier.startpage150493-1en
dc.identifier.urihttps://hdl.handle.net/10468/3702
dc.identifier.volume3en
dc.language.isoenen
dc.publisherThe Royal Societyen
dc.rights© 2016 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited.en
dc.rights.urihttp://creativecommons.org/licenses/by/4.0/en
dc.subjectDelay vector varianceen
dc.subjectSignal nonlinearityen
dc.subjectStructural dynamicsen
dc.subjectBenchmarkingen
dc.subjectWind turbine bladeen
dc.titleA comprehensive study of the delay vector variance method for quantification of nonlinearity in dynamical systemsen
dc.typeArticle (peer-reviewed)en
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