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On vertex conditions for elastic systems
Stockholm University, Faculty of Science, Department of Mathematics. (Analys)
Stockholm University, Faculty of Science, Department of Mathematics. (Analys)ORCID iD: 0000-0003-3256-6968
Stockholm University, Faculty of Science, Department of Mathematics. (Analys)
2015 (English)Report (Other academic)
Abstract [en]

In this paper vertex conditions for the fourth order differential operator on the simplest metric graph - the $ Y$-graph, -are discussed. In order to make the operator symmetric one needs to impose extra conditions on the limit values offunctions and their derivatives at the central vertex. It is shown that such conditions corresponding to the free movement of beams depend on the angles between the beams in the equilibrium position.

Place, publisher, year, edition, pages
Stockholm: Department of Mathematics, Stockholm University , 2015. , 14 p.
Series
Research Reports in Mathematics, ISSN 1401-5617 ; 1
Keyword [en]
Fourth-order differential operator, Matching conditions, Elasticity
National Category
Mathematics
Research subject
Mathematics
Identifiers
URN: urn:nbn:se:su:diva-112239OAI: oai:DiVA.org:su-112239DiVA: diva2:778500
Funder
Swedish Research Council, D0497301
Available from: 2015-01-10 Created: 2015-01-10 Last updated: 2015-01-23Bibliographically approved

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CiteExportLink to record
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  • nn-NB
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Output format
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