Stability of elastic multi-link structures / Kaïs Ammari, Farhat Shel.
2022
QA377
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Details
Title
Stability of elastic multi-link structures / Kaïs Ammari, Farhat Shel.
Author
Ammari, Kaïs, author.
ISBN
9783030863517 (electronic bk.)
3030863514 (electronic bk.)
9783030863500 (print)
3030863506
3030863514 (electronic bk.)
9783030863500 (print)
3030863506
Published
Cham, Switzerland : Springer, 2022.
Language
English
Description
1 online resource (viii, 141 pages) : illustrations (some color).
Item Number
10.1007/978-3-030-86351-7 doi
Call Number
QA377
Dewey Decimal Classification
515/.353
Summary
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.
Bibliography, etc. Note
Includes bibliographical references.
Access Note
Access limited to authorized users.
Source of Description
Online resource; title from PDF title page (SpringerLink, viewed January 27, 2022).
Added Author
Shel, Farhat, author.
Series
SpringerBriefs in mathematics, 2191-8201
Available in Other Form
Stability of Elastic Multi-Link Structures
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Table of Contents
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.
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.