Stability of Elastic Multi-Link Structures
Published on 16. January 2022
VIII, 141 pages
978-3-030-86351-7 (ISBN)
Description
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.
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.
More details
Series
Edition
1st ed. 2022
Language
English
Place of publication
Cham
Switzerland
Publishing group
Springer International Publishing
Target group
Professional and scholarly
Product notice
Reflowable
Illustrations
VIII, 141 p. 16 illus., 12 illus. in color.
File size
2,15 MB
ISBN-13
978-3-030-86351-7 (9783030863517)
DOI
10.1007/978-3-030-86351-7
Schweitzer Classification
Other editions
Additional editions
Kaïs Ammari | Farhat Shel
Stability of Elastic Multi-Link Structures
Book
01/2022
1st Edition
Springer
€69.54
Shipment within 7-9 days
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.
