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On vertex conditions for elastic systems
Stockholm University, Faculty of Science, Department of Mathematics.
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0003-3256-6968
Stockholm University, Faculty of Science, Department of Mathematics.ORCID iD: 0000-0002-6189-3573
Number of Authors: 32015 (English)In: Physics Letters A, ISSN 0375-9601, E-ISSN 1873-2429, Vol. 379, no 34-35, p. 1871-1876Article in journal (Refereed) Published
Abstract [en]

In this paper vertex conditions for the differential operator of fourth derivative 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 of functions 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
2015. Vol. 379, no 34-35, p. 1871-1876
Keywords [en]
Fourth-order differential operator, Matching conditions, Elasticity
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-176183DOI: 10.1016/j.physleta.2015.05.017ISI: 000356117900005OAI: oai:DiVA.org:su-176183DiVA, id: diva2:1373820
Available from: 2019-11-28 Created: 2019-11-28 Last updated: 2020-02-06Bibliographically approved

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