Stability of Elastic Multi-Link Structures (eBook) von Kaïs Ammari
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ISBN-13:
9783030863517
Veröffentl:
2022
Einband:
eBook
Seiten:
141
Autor:
Kaïs Ammari
Serie:
SpringerBriefs in Mathematics
eBook Format:
PDF
eBook-Typ:
Reflowable eBook
Kopierschutz:
Digital Watermark [Social-DRM]
Sprache:
Englisch
Inhaltsverzeichnis
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.
Beschreibung
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-dnetworks.
Schlagwörter zu:
Stability of Elastic Multi-Link Structures von Kaïs Ammari - mit der ISBN: 9783030863517
Kelvin-Voigt damping; elastic and thermoelastic materials; evolution equations; heat wave equations; semigroups; star-shaped network; C; Dynamical Systems; Graph Theory; Group Theory and Generalizations; Differential Equations; Mathematics and Statistics, Online-Buchhandlung
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