ENGLISH

Stability of Elastic Multi-Link Structures (SpringerBriefs in Mathematics)

By Kaïs Ammari , Farhat Shel

Book information

Publisher
Springer
Year
2022
ISBN
3030863506, 9783030863500
Language
english
Format
PDF
Filesize
2 MB (2147699 bytes)
Pages
152\146
Time added
2024-04-11 05:26:37

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.

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