Format:
1 Online-Ressource (viii, 141 Seiten)
ISBN:
9783030863517
Series Statement:
SpringerBriefs in Mathematics
Content:
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. .
Content:
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.
Additional Edition:
ISBN 9783030863500
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030863500
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030863524
Additional Edition:
Erscheint auch als Druck-Ausgabe ISBN 9783030863531
Additional Edition:
Erscheint auch als Druck-Ausgabe Ammari, Kaïs, 1981 - Stability of elastic multi-link structures Cham, Switzerland : Springer Nature, 2022 ISBN 9783030863500
Language:
English
DOI:
10.1007/978-3-030-86351-7
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