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Stability of Elastic Multi-Link Structures by Kaïs Ammari at Abbey's Bookshop,
Stability of Elastic Multi-Link Structures
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Kaïs Ammari Farhat Shel

Stability of Elastic Multi-Link Structures

Kaïs Ammari,  Farhat Shel

$125.95   $100.80

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English
Springer Nature Switzerland AG
17 January 2022
Cybernetics & systems theory; Groups & group theory; Differential calculus & equations; Combinatorics & graph theory
Series: SpringerBriefs in Mathematics
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.
By:   ,
Imprint:   Springer Nature Switzerland AG
Country of Publication:   Switzerland
Edition:   1st ed. 2022
Dimensions:   Height: 235mm,  Width: 155mm, 
Weight:   244g
ISBN:   9783030863500
ISBN 10:   3030863506
Series:   SpringerBriefs in Mathematics
Pages:   141
Publication Date:  
Audience:   Professional and scholarly ,  Undergraduate
Format:   Paperback
Publisher's Status:   Active
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. 

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