On vertex conditions for elastic systems
2015 (English)Report (Other academic)
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.
Research Reports in Mathematics, ISSN 1401-5617 ; 1
Fourth-order differential operator, Matching conditions, Elasticity
Research subject Mathematics
IdentifiersURN: urn:nbn:se:su:diva-112239OAI: oai:DiVA.org:su-112239DiVA: diva2:778500
FunderSwedish Research Council, D0497301