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Stability of Elastic Multi-Link Structures de Kaïs Ammari

Stability of Elastic Multi-Link Structures: SpringerBriefs in Mathematics

Autor Kaïs Ammari, Farhat Shel
en Limba Engleză Paperback – 17 ian 2022
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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Specificații

ISBN-13: 9783030863500
ISBN-10: 3030863506
Pagini: 141
Ilustrații: VIII, 141 p. 16 illus., 12 illus. in color.
Dimensiuni: 155 x 235 mm
Greutate: 0.22 kg
Ediția:1st ed. 2022
Editura: Springer International Publishing
Colecția Springer
Seria SpringerBriefs in Mathematics

Locul publicării:Cham, Switzerland

Cuprins

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. 

Textul de pe ultima copertă

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.

Caracteristici

Contains insight into the polynomial stability phenomenon Systematically presents recent results in the field Serves as a self-contained volume