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On the accuracy of a homogenized continuum model of lattice structures in modal analyses

dc.rights.licenseopenen_US
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorPANETTIERI, Enrico
IDREF: 228223156
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorBOISSIN, Eileen
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorMONTEMURRO, Marco
IDREF: 171660978
hal.structure.identifierInstitut de Mécanique et d'Ingénierie [I2M]
dc.contributor.authorCATAPANO MONTEMURRO, Anita
IDREF: 180013238
dc.contributor.authorJALOCHA, D.
dc.date.accessioned2021-12-14T14:58:04Z
dc.date.available2021-12-14T14:58:04Z
dc.date.issued2022
dc.identifier.issn1537-6494en_US
dc.identifier.urioai:crossref.org:10.1080/15376494.2021.1985196
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/124154
dc.description.abstractEnIn this paper, a multi-scale modeling approach is proposed to determine the undamped natural frequencies of lattice structures (LSs) and the related mode shapes. At the macroscopic scale, the LS is modeled as an equivalent homogenized medium whose elastic properties are determined through the strain energy-based homogenization technique. The accuracy of the finite element (FE) model of the homogenized continuum (denoted as low-fidelity FE model) in predicting the undamped natural frequencies and the associated modes is assessed by comparing them to those provided by a high-fidelity FE model of the real architecture of the LS (wherein all the geometrical features of the LS are explicitly modeled). In this context, the influence of the number of representative volume elements (RVEs) to be considered at the macroscopic scale on the relative error on the natural frequencies, resulting from both FE models of the LS, is investigated. Moreover, the influence of the geometrical imperfections induced by the additive manufacturing technology on the accuracy of the low-fidelity FE model is also investigated. These analyses are carried out for different topologies of LS taken from the literature. Results highlight that the accuracy of the low-fidelity FE model in predicting the undamped natural frequencies and their related mode shapes mainly depends upon the LS RVE topology and on the number of RVEs considered at the macroscopic scale.
dc.language.isoENen_US
dc.sourcecrossref
dc.subject.enHomogenization
dc.subject.enlattice structures
dc.subject.enfinite element method
dc.subject.enadditive manufacturing
dc.subject.enmodal analysis
dc.subject.enimperfections
dc.title.enOn the accuracy of a homogenized continuum model of lattice structures in modal analyses
dc.typeArticle de revueen_US
dc.identifier.doi10.1080/15376494.2021.1985196en_US
dc.subject.halSciences de l'ingénieur [physics]/Matériauxen_US
bordeaux.journalMechanics of Advanced Materials and Structuresen_US
bordeaux.page1-18en_US
bordeaux.hal.laboratoriesInstitut de Mécanique et d’Ingénierie de Bordeaux (I2M) - UMR 5295en_US
bordeaux.institutionUniversité de Bordeauxen_US
bordeaux.institutionBordeaux INPen_US
bordeaux.institutionCNRSen_US
bordeaux.institutionINRAEen_US
bordeaux.institutionArts et Métiersen_US
bordeaux.peerReviewedouien_US
bordeaux.inpressnonen_US
bordeaux.import.sourcedissemin
hal.identifierhal-03480299
hal.version1
hal.date.transferred2021-12-14T14:58:06Z
hal.exporttrue
workflow.import.sourcedissemin
dc.rights.ccPas de Licence CCen_US
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.jtitle=Mechanics%20of%20Advanced%20Materials%20and%20Structures&rft.date=2022&rft.spage=1-18&rft.epage=1-18&rft.eissn=1537-6494&rft.issn=1537-6494&rft.au=PANETTIERI,%20Enrico&BOISSIN,%20Eileen&MONTEMURRO,%20Marco&CATAPANO%20MONTEMURRO,%20Anita&JALOCHA,%20D.&rft.genre=article


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