Stability of elastic multi-link structures [electronic resource]

• 作者： Ammari, Kais.
• 其他作者：
  • Shel, Farhat.
  • SpringerLink (Online service)
• 其他題名：
  • SpringerBriefs in mathematics.
• 出版： Cham : Springer International Publishing :Imprint: Springer
• 叢書名： SpringerBriefs in mathematics,
• 主題： Differential equations, Partial--Asymptotic theory. , Differential Equations. , Dynamical Systems. , Group Theory and Generalizations. , Graph Theory.
• ISBN： 9783030863517 (electronic bk.) 、 9783030863500 (paper)
• FIND@SFXID: CGU
• 資料類型: 電子書
• 內容註: 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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• 摘要註: 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.
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