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Catalogue Information
Field name	Details
Dewey Class	515.35
Title	Stability of Elastic Multi-Link Structures ( EBook/) / by Kaïs Ammari, Farhat Shel.
Author	Ammari, Kaïs
Added Personal Name	Shel, Farhat
Other name(s)	SpringerLink (Online service)
Edition statement	1st ed. 2022.
Publication	Cham : : Springer International Publishing : : Imprint: Springer, , 2022.
Physical Details	VIII, 141 p. 16 illus., 12 illus. in color. : online resource.
Series	SpringerBriefs in Mathematics 2191-8201
ISBN	9783030863517
Summary Note	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.:
Contents note	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. .
Mode of acces to digital resource	Digital reproduction.-
	Cham :
	Springer International Publishing,
	2022. -
	Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note	Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site	https://doi.org/10.1007/978-3-030-86351-7
Links to Related Works	Subject References: Differential Equations . Dynamical Systems . Graph Theory . Group theory . Group Theory and Generalizations . Authors: Ammari, Kaïs . author . Shel, Farhat . Corporate Authors: SpringerLink (Online service) . Series: SpringerBriefs in Mathematics . Classification: 515.35 .

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Stability of Elastic Multi-Link Structures

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