A two-stage polynomial chaos expansion application for bound estimation of uncertain FRFs

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dc.authorid0000-0001-5798-9014en_US
dc.authorid0000-0001-5955-7477en_US
dc.contributor.authorKara, Murat
dc.contributor.authorFerguson, Neil S.
dc.date.accessioned2024-07-30T12:45:33Z
dc.date.available2024-07-30T12:45:33Z
dc.date.issued2023en_US
dc.departmentBAİBÜ, Mühendislik Fakültesi, Makine Mühendisliği Bölümüen_US
dc.descriptionThis study is supported by The Scientific and Technological Research Council of Turkey, TUBITAK through the 2219-International Postdoctoral Research Fellowship Program for Turkish citizens.en_US
dc.description.abstractPolynomial Chaos Expansion (PCE) is a method for analysing uncertain vibratory structures with lower computational effort. It may simply be described as a curve fitting method with orthogonal basis terms, where the polynomial type, dimension and order are predefined for the uncertain responses. However, the polynomial order in PCE must be very high to accurately estimate statistical moments of the frequency response function in resonance regions of lightly damped and uncertain structures. To solve this issue different transformation techniques are reported in the literature, where implementations of PCE produce higher accuracy with a lower order polynomial. However, these transformations lose the attraction for using PCE, since they require some additional mathematical operations and, mostly, they present high accuracy if the higher orders of polynomials are again of interest. In this study, an efficient approach is presented for the upper bound estimation of the uncertain frequency response functions (FRFs) via PCE with lower order terms without performing any transformation. Rather than one-stage application of PCE for the desired response of an uncertain problem, the approach comprises a two-stage application of the classical PCE, i.e. first for the natural frequencies and then for the FRF calculations. As an example application of the approach, a thin beam for two different uncertainty cases is considered, namely local and global uncertainty. The local and global input uncertainties are generated by variability of lumped masses added at the boundary and Young's modulus, respectively. The FRF bounds are compared with extensive experimental and numerical Monte Carlo simulations, showing that low order polynomials are sufficient to calculate the bounds accurately with the technique described.en_US
dc.description.sponsorshipScientific and Technological Research Council of Turkey, TUBITAK through the 2219-International Postdoctoral Research Fellowship Programen_US
dc.identifier.citationKara, M., & Ferguson, N. S. (2023). A two-stage Polynomial Chaos Expansion application for bound estimation of uncertain FRFs. Journal of Sound and Vibration, 566, 117930.en_US
dc.identifier.doi10.1016/j.jsv.2023.117930
dc.identifier.endpage16en_US
dc.identifier.issn0022-460X
dc.identifier.issn1095-8568
dc.identifier.scopus2-s2.0-85164723726en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage1en_US
dc.identifier.urihttp://dx.doi.org/10.1016/j.jsv.2023.117930
dc.identifier.urihttps://hdl.handle.net/20.500.12491/12288
dc.identifier.volume566en_US
dc.identifier.wosWOS:001045969200001en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.institutionauthorKara, Murat
dc.language.isoenen_US
dc.publisherAcademic Press Ltd- Elsevier Science Ltden_US
dc.relation.ispartofJournal of Sound and Vibrationen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.relation.tubitakScientific and Technological Research Council of Turkey, TUBITAK through the 2219-International Postdoctoral Research Fellowship Program
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectPolynomial Chaos Expansionen_US
dc.subjectBound Estimationen_US
dc.subjectFrequency Response Functionen_US
dc.subjectLocal Uncertaintyen_US
dc.subjectGlobal Uncertaintyen_US
dc.subjectVibrationen_US
dc.titleA two-stage polynomial chaos expansion application for bound estimation of uncertain FRFsen_US
dc.typeArticleen_US

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