Free and forced wave motion in a two-dimensional plate with radial periodicity

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dc.contributor.authorManconi, Elisabetta
dc.contributor.authorSorokin, Sergey V.
dc.contributor.authorGarziera, Rinaldo
dc.contributor.authorQuartaroli, Matheus Mikael [UNESP]
dc.contributor.institutionUniversità di Parma
dc.contributor.institutionAalborg University
dc.contributor.institutionUniversidade Estadual Paulista (UNESP)
dc.date.accessioned2022-04-29T08:36:46Z
dc.date.available2022-04-29T08:36:46Z
dc.date.issued2021-11-01
dc.description.abstractIn many practical engineering situations, a source of vibrations may excite a large and flexible structure such as a ship’s deck, an aeroplane fuselage, a satellite antenna, a wall panel. To avoid transmission of the vibration and structure-borne sound, radial or polar periodicity may be used. In these cases, numerical approaches to study free and forced wave propagation close to the excitation source in polar coordinates are desirable. This is the paper’s aim, where a numerical method based on Floquet-theory and the FE discretision of a finite slice of the radial periodic structure is presented and verified. Only a small slice of the structure is analysed, which is approximated using piecewise Cartesian segments. Wave characteristics in each segment are obtained by the theory of wave propagation in periodic Cartesian structures and Finite Element analysis, while wave amplitude change due to the changes in the geometry of the slice is accommodated in the model assuming that the energy flow through the segments is the same. Forced response of the structure is then evaluated in the wave domain. Results are verified for an infinite isotropic thin plate excited by a point harmonic force. A plate with a periodic radial change of thickness is then studied. Free waves propagation are shown, and the forced response in the nearfield is evaluated, showing the validity of the method and the computational advantage compared to FE harmonic analysis for infinite structures.en
dc.description.affiliationDipartimento di Ingegneria e Architettura Università di Parma
dc.description.affiliationDepartment of Materials and Production Aalborg University
dc.description.affiliationDepartment of Mechanical Engineering UNESP-FEB
dc.description.affiliationUnespDepartment of Mechanical Engineering UNESP-FEB
dc.identifierhttp://dx.doi.org/10.3390/app112210948
dc.identifier.citationApplied Sciences (Switzerland), v. 11, n. 22, 2021.
dc.identifier.doi10.3390/app112210948
dc.identifier.issn2076-3417
dc.identifier.scopus2-s2.0-85119905670
dc.identifier.urihttp://hdl.handle.net/11449/229946
dc.language.isoeng
dc.relation.ispartofApplied Sciences (Switzerland)
dc.sourceScopus
dc.subjectFinite element analysis
dc.subjectForced response of plates and shells
dc.subjectPeriodic structures
dc.subjectPolar coordinates
dc.subjectUnbounded structures
dc.subjectWave propagation
dc.titleFree and forced wave motion in a two-dimensional plate with radial periodicityen
dc.typeArtigo

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