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Stability of Elastic Multi-Link Structures
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Stability of Elastic Multi-Link Structures

Stability of Elastic Multi-Link Structures

Kais / Shel Ammari - Collection Yellow Sale 2023

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141 pages, parution le 16/01/2022
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Résumé

The structures considered consist of finitely interconnected flexible elements such as strings and beams (or combinations thereof), distributed along a planar network.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.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Kais / Shel Ammari
Collection Yellow Sale 2023
Parution 16/01/2022
Nb. de pages 141
EAN13 9783030863500

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