03258nam 22006735 450 991052295850332120251113211546.03-030-86351-410.1007/978-3-030-86351-7(MiAaPQ)EBC6860546(Au-PeEL)EBL6860546(CKB)20920492100041(OCoLC)1293250958(PPN)269154280(OCoLC)1293854960(DE-He213)978-3-030-86351-7(EXLCZ)992092049210004120220116d2022 u| 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierStability of Elastic Multi-Link Structures /by Kaïs Ammari, Farhat Shel1st ed. 2022.Cham :Springer International Publishing :Imprint: Springer,2022.1 online resource (146 pages)SpringerBriefs in Mathematics,2191-8201Print version: Ammari, Kaïs Stability of Elastic Multi-Link Structures Cham : Springer International Publishing AG,c2022 9783030863500 1. Preliminaries -- 2. Exponential stability of a network of elastic and thermoelastic materials -- 3. Exponential stability of a network of beams -- 4. Stability of a tree-shaped network of strings and beams -- 5. Feedback stabilization of a simplified model of fluid-structure interaction on a tree -- 6. Stability of a graph of strings with local Kelvin-Voigt damping -- Bibliography. .This brief investigates the asymptotic behavior of some PDEs on networks. The structures considered consist of finitely interconnected flexible elements such as strings and beams (or combinations thereof), distributed along a planar network. Such study is motivated by the need for engineers to eliminate vibrations in some dynamical structures consisting of elastic bodies, coupled in the form of chain or graph such as pipelines and bridges. There are other complicated examples in the automotive industry, aircraft and space vehicles, containing rather than strings and beams, plates and shells. These multi-body structures are often complicated, and the mathematical models describing their evolution are quite complex. For the sake of simplicity, this volume considers only 1-d networks.SpringerBriefs in Mathematics,2191-8201Differential equationsDynamicsGroup theoryGraph theoryDifferential EquationsDynamical SystemsGroup Theory and GeneralizationsGraph TheoryDifferential equations.Dynamics.Group theory.Graph theory.Differential Equations.Dynamical Systems.Group Theory and Generalizations.Graph Theory.515.353515.392Ammari Kaïs716377Shel FarhatMiAaPQMiAaPQMiAaPQBOOK9910522958503321Stability of Elastic Multi-Link Structures2594814UNINA