Stability of Elastic Multi-Link Structures (eBook)

Kaïs Ammari, Farhat Shel (Autoren)

eBook Download: PDF

2022 | 1st ed. 2022
VIII, 141 Seiten
Springer International Publishing (Verlag)
978-3-030-86351-7 (ISBN)

Infos

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.

Produkt-Details

• Erscheint lt. Verlag: 16.1.2022
• Reihe/Serie: SpringerBriefs in Mathematics
• Reihe/Serie: SpringerBriefs in Mathematics
• Zusatzinfo: VIII, 141 p. 16 illus., 12 illus. in color.
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Mathematik
• Themenwelt: Technik ► Bauwesen
• Schlagworte: elastic and thermoelastic materials • Evolution Equations • heat wave equations • Kelvin-Voigt damping • semigroups • star-shaped network
• ISBN-10: 3-030-86351-4 / 3030863514
• ISBN-13: 978-3-030-86351-7 / 9783030863517