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

9783030863517 (electronic bk.)
3030863514 (electronic bk.)
9783030863500 (print)
3030863506

Cham, Switzerland : Springer, 2022.

English

1 online resource (viii, 141 pages) : illustrations (some color).

10.1007/978-3-030-86351-7 doi

QA377

515/.353

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.

Includes bibliographical references.

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Online resource; title from PDF title page (SpringerLink, viewed January 27, 2022).

SpringerBriefs in mathematics, 2191-8201

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