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dc.contributor.authorBanichuk, Nikolay
dc.contributor.authorJeronen, Juha
dc.contributor.authorNeittaanmäki, Pekka
dc.contributor.authorTuovinen, Tero
dc.date.accessioned2012-09-27T12:49:39Z
dc.date.available2012-09-27T12:49:39Z
dc.date.issued2010
dc.identifier.citationBanichuk, N., Jeronen, J., Neittaanmäki, P., & Tuovinen, T. (2010). On the instability of an axially moving elastic plate. <i>International Journal of Solids and Structures</i>, <i>47</i>(1), 91-99. <a href="https://doi.org/10.1016/j.ijsolstr.2009.09.020" target="_blank">https://doi.org/10.1016/j.ijsolstr.2009.09.020</a>
dc.identifier.otherCONVID_20067076
dc.identifier.otherTUTKAID_43246
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/38656
dc.description.abstractProblems 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.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesInternational Journal of Solids and Structures
dc.subject.otherAxially
dc.subject.otherThin
dc.subject.otherPlate
dc.subject.otherElastic
dc.subject.otherInstability
dc.subject.otherAnalytical solutions
dc.titleOn the instability of an axially moving elastic plate
dc.typearticle
dc.identifier.urnURN:NBN:fi:jyu-201209272518
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.laitosDepartment of Mathematical Information Technologyen
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineMathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/JournalArticle
dc.date.updated2012-09-27T03:30:15Z
dc.type.coarhttp://purl.org/coar/resource_type/c_2df8fbb1
dc.description.reviewstatuspeerReviewed
dc.format.pagerange91-99
dc.relation.issn0020-7683
dc.relation.numberinseries1
dc.relation.volume47
dc.type.versionacceptedVersion
dc.rights.copyright© Elsevier. This is an author's final draft version of an article whose final and definitive version has been published by Elsevier.
dc.rights.accesslevelopenAccessfi
dc.subject.ysoliikkuminen
jyx.subject.urihttp://www.yso.fi/onto/yso/p649
dc.relation.doi10.1016/j.ijsolstr.2009.09.020
dc.type.okmA1


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