On the instability of an axially moving elastic plate

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dc.contributor.author Banichuk, Nikolay
dc.contributor.author Jeronen, Juha
dc.contributor.author Neittaanmäki, Pekka
dc.contributor.author Tuovinen, Tero
dc.date.accessioned 2012-09-27T12:49:39Z
dc.date.available 2012-09-27T12:49:39Z
dc.date.issued 2010
dc.identifier.citation Banichuk, N., Jeronen, J., Neittaanmäki, P., & Tuovinen, T. (2010). On the instability of an axially moving elastic plate. International Journal of Solids and Structures, 47 (1), 91-99. doi:10.1016/j.ijsolstr.2009.09.020 fi
dc.identifier.issn 0020-7683
dc.identifier.other TUTKAID_43246
dc.identifier.uri http://hdl.handle.net/123456789/38656
dc.description.abstract Problems of stability of an axially moving elastic band travelling at constant velocity between two supports and experiencing small transverse vibrations are considered in a 2D formulation. The model of a thin elastic plate subjected to bending and tension is used to describe the bending moment and the distribution of membrane forces. The stability of the plate is investigated with the help of an analytical approach. In the frame of a general dynamic analysis, it is shown that the onset of instability takes place in the form of divergence (buckling). Then the static forms of instability are investigated, and critical regimes are studied as functions of geometric and mechanical problem parameters. It is shown that in the limit of a narrow strip, the 2D formulation reduces to the classical 1D model. In the limit of a wide band, there is a small but finite discrepancy between the results given by the 1D model and the full 2D formulation, where the discrepancy depends on the Poisson ratio of the material. Finally, the results are illustrated via numerical examples, and it is observed that the transverse displacement becomes localised in the vicinity of free boundaries. fi
dc.language.iso eng
dc.publisher Elsevier
dc.relation.ispartof International Journal of Solids and Structures
dc.rights © Elsevier. This is an author's final draft version of an article whose final and definitive version has been published by Elsevier.
dc.subject.other axially en
dc.subject.other moving en
dc.subject.other thin en
dc.subject.other plate en
dc.subject.other elastic en
dc.subject.other instability en
dc.subject.other analytical solutions
dc.title On the instability of an axially moving elastic plate
dc.type Article en
dc.identifier.urn URN:NBN:fi:jyu-201209272518
dc.subject.kota 113
dc.contributor.laitos Department of Mathematical Information Technology en
dc.contributor.laitos Tietotekniikan laitos fi
dc.contributor.oppiaine tietotekniikka fi
jyx.tutka.volyme 47
jyx.tutka.mnumber 1
jyx.tutka.pagetopage 91-99
dc.type.uri http://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi 10.1016/j.ijsolstr.2009.09.020
dc.date.updated 2012-09-27T03:30:15Z
dc.description.version Author's Final draft
eprint.status http://purl.org/eprint/type/status/PeerReviewed

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