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dc.contributor.authorBanichuk, Nikolay
dc.contributor.authorJeronen, Juha
dc.contributor.authorKurki, Matti
dc.contributor.authorNeittaanmäki, Pekka
dc.contributor.authorSaksa, Tytti
dc.contributor.authorTuovinen, Tero
dc.date.accessioned2012-09-27T12:24:17Z
dc.date.available2012-09-27T12:24:17Z
dc.date.issued2011
dc.identifier.citationBanichuk, N., Jeronen, J., Kurki, M., Neittaanmäki, P., Saksa, T., & Tuovinen, T. (2011). On the limit velocity and buckling phenomena of axially moving orthotropic membranes and plates. <em>International Journal of Solids and Structures</em>, 48 (13), 2015-2025. <a href="http://dx.doi.org/10.1016/j.ijsolstr.2011.03.010">doi:10.1016/j.ijsolstr.2011.03.010</a>fi
dc.identifier.otherTUTKAID_50140
dc.identifier.urihttps://jyx.jyu.fi/handle/123456789/38653
dc.description.abstractIn this paper, we consider the static stability problems of axially moving orthotropic membranes and plates. The study is motivated by paper production processes, as paper has a fiber structure which can be described as orthotropic on the macroscopic level. The moving web is modeled as an axially moving orthotropic plate. The original dynamic plate problem is reduced to a two-dimensional spectral problem for static stability analysis, and solved using analytical techniques. As a result, the minimal eigenvalue and the corresponding buckling mode are found. It is observed that the buckling mode has a shape localized in the regions close to the free boundaries. The localization effect is demonstrated with the help of numerical examples. It is seen that the in-plane shear modulus affects the strength of this phenomenon. The behavior of the solution is investigated analytically. It is shown that the eigenvalues of the cross-sectional spectral problem are nonnegative. The analytical approach allows for a fast solver, which can then be used for applications such as statistical uncertainty and sensitivity analysis, real-time parameter space exploration, and finding optimal values for design parameters.fi
dc.language.isoeng
dc.publisherElsevier
dc.relation.ispartofseriesInternational Journal of Solids and Structures
dc.subject.otheraxially movingen
dc.subject.otherorthotropicen
dc.subject.othershear modulusen
dc.subject.othermembraneen
dc.subject.otherplateen
dc.subject.otheraksiaalisesti liikkuvafi
dc.subject.otherortotrooppisuusfi
dc.subject.otherleikkausmoduulifi
dc.subject.otherkalvofi
dc.subject.otherlevyfi
dc.titleOn the limit velocity and buckling phenomena of axially moving orthotropic membranes and plates
dc.typeArticle
dc.identifier.urnURN:NBN:fi:jyu-201209272520
dc.contributor.laitosTietotekniikan laitosfi
dc.contributor.oppiaineTietotekniikkafi
dc.contributor.oppiaineDepartment of Mathematical Information Technologyen
dc.type.urihttp://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi10.1016/j.ijsolstr.2011.03.010
dc.date.updated2012-09-27T03:30:21Z
dc.type.coarjournal article
dc.description.reviewstatuspeerReviewed
dc.format.pagerange2015-2025
dc.relation.issn0020-7683
dc.relation.numberinseries13
dc.relation.volume48
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


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