Stability of elastic multi-link structures

Stability of elastic multi-link structures / Kaïs Ammari, Farhat Shel.

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 elimi...

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Bibliographic Details
Main Authors: Ammari, Kaïs (Author), Shel, Farhat (Author)
Format: eBook
Language:English
Published: Cham, Switzerland : Springer, 2022.
Series:SpringerBriefs in mathematics,
Subjects:
Differential equations, Partial > Asymptotic theory.
Ecuaciones en derivadas parciales > Teoría asintótica
Differential equations, Partial > Asymptotic theory
Online Access:Click for online access
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.

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