Stability of Elastic Multi-Link Structures

Kaïs Ammari, Farhat Shel (Autoren)

Buch | Softcover

VIII, 141 Seiten

2022 | 1st ed. 2022
Springer International Publishing (Verlag)
978-3-030-86350-0 (ISBN)

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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.

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.

Erscheinungsdatum	20.01.2022
Reihe/Serie	SpringerBriefs in Mathematics
Zusatzinfo	VIII, 141 p. 16 illus., 12 illus. in color.
Verlagsort	Cham
Sprache	englisch
Maße	155 x 235 mm
Gewicht	244 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	elastic and thermoelastic materials • Evolution Equations • heat wave equations • Kelvin-Voigt damping • semigroups • star-shaped network
ISBN-10	3-030-86350-6 / 3030863506
ISBN-13	978-3-030-86350-0 / 9783030863500
Zustand	Neuware