LEADER 03258nam 22006735 450 001 9910522958503321 005 20251113211546.0 010 $a3-030-86351-4 024 7 $a10.1007/978-3-030-86351-7 035 $a(MiAaPQ)EBC6860546 035 $a(Au-PeEL)EBL6860546 035 $a(CKB)20920492100041 035 $a(OCoLC)1293250958 035 $a(PPN)269154280 035 $a(OCoLC)1293854960 035 $a(DE-He213)978-3-030-86351-7 035 $a(EXLCZ)9920920492100041 100 $a20220116d2022 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aStability of Elastic Multi-Link Structures /$fby Kaïs Ammari, Farhat Shel 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (146 pages) 225 1 $aSpringerBriefs in Mathematics,$x2191-8201 311 08$aPrint version: Ammari, Kaïs Stability of Elastic Multi-Link Structures Cham : Springer International Publishing AG,c2022 9783030863500 327 $a1. 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. . 330 $aThis brief investigates the asymptotic behavior of some PDEs on networks. The structures considered consist of finitely interconnected flexible elements such as strings and beams (or combinations thereof), distributed along a planar network. Such study is motivated by the need for engineers to eliminate vibrations in some dynamical structures consisting of elastic bodies, coupled in the form of chain or graph such as pipelines and bridges. There are other complicated examples in the automotive industry, aircraft and space vehicles, containing rather than strings and beams, plates and shells. These multi-body structures are often complicated, and the mathematical models describing their evolution are quite complex. For the sake of simplicity, this volume considers only 1-d networks. 410 0$aSpringerBriefs in Mathematics,$x2191-8201 606 $aDifferential equations 606 $aDynamics 606 $aGroup theory 606 $aGraph theory 606 $aDifferential Equations 606 $aDynamical Systems 606 $aGroup Theory and Generalizations 606 $aGraph Theory 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aGroup theory. 615 0$aGraph theory. 615 14$aDifferential Equations. 615 24$aDynamical Systems. 615 24$aGroup Theory and Generalizations. 615 24$aGraph Theory. 676 $a515.353 676 $a515.392 700 $aAmmari$b Kai?s$0716377 702 $aShel$b Farhat 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910522958503321 996 $aStability of Elastic Multi-Link Structures$92594814 997 $aUNINA