On the limit velocity and buckling phenomena of axially moving orthotropic membranes and plates

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dc.contributor.author Banichuk, Nikolay
dc.contributor.author Jeronen, Juha
dc.contributor.author Kurki, Matti
dc.contributor.author Neittaanmäki, Pekka
dc.contributor.author Saksa, Tytti
dc.contributor.author Tuovinen, Tero
dc.date.accessioned 2012-09-27T12:24:17Z
dc.date.available 2012-09-27T12:24:17Z
dc.date.issued 2011
dc.identifier.citation Banichuk, 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. International Journal of Solids and Structures, 48 (13), 2015 2025. doi:10.1016/j.ijsolstr.2011.03.010 fi
dc.identifier.issn 0020-7683
dc.identifier.other TUTKAID_50140
dc.identifier.uri http://hdl.handle.net/123456789/38653
dc.description.abstract In 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.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 aksiaalisesti liikkuva fi
dc.subject.other ortotrooppisuus fi
dc.subject.other leikkausmoduuli fi
dc.subject.other kalvo fi
dc.subject.other levy fi
dc.subject.other axially moving en
dc.subject.other orthotropic en
dc.subject.other shear modulus en
dc.subject.other membrane en
dc.subject.other plate en
dc.title On the limit velocity and buckling phenomena of axially moving orthotropic membranes and plates
dc.type Article en
dc.identifier.urn URN:NBN:fi:jyu-201209272520
dc.subject.kota 111, 216
dc.contributor.laitos Tietotekniikan laitos fi
dc.contributor.oppiaine Department of Mathematical Information Technology en
dc.contributor.oppiaine tietotekniikka fi
jyx.tutka.volyme 48
jyx.tutka.mnumber 13
jyx.tutka.pagetopage 2015 2025
dc.type.uri http://purl.org/eprint/type/SubmittedJournalArticle
dc.identifier.doi 10.1016/j.ijsolstr.2011.03.010
dc.date.updated 2012-09-27T03:30:21Z
dc.description.version Author's Final draft
eprint.status http://purl.org/eprint/type/status/PeerReviewed

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