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Stability of elastic multi-link structures

Record Type:	Electronic resources : Monograph/item
Title/Author:	Stability of elastic multi-link structuresby Kais Ammari, Farhat Shel.
Author:	Ammari, Kais.
other author:	Shel, Farhat.
Published:	Cham :Springer International Publishing :2022.
Description:	viii, 141 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Differential equations, PartialAsymptotic theory.
Online resource:	https://doi.org/10.1007/978-3-030-86351-7
ISBN:	9783030863517$q(electronic bk.)

Stability of elastic multi-link structures
Ammari, Kais.

Stability of elastic multi-link structures[electronic resource] /by Kais Ammari, Farhat Shel. - Cham :Springer International Publishing :2022. - viii, 141 p. :ill. (some col.), digital ;24 cm. - SpringerBriefs in mathematics,2191-8201. - SpringerBriefs in mathematics..

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.

ISBN: 9783030863517$q(electronic bk.)

Standard No.: 10.1007/978-3-030-86351-7doiSubjects--Topical Terms:

559837
Differential equations, Partial
--Asymptotic theory.

LC Class. No.: QA377 / .A55 2022

Dewey Class. No.: 515.353

Stability of elastic multi-link structures
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505 0 $a 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.
520 $a 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.
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