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Stability of Elastic Multi-Link Structures (Paperback, 1st ed. 2022)
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Stability of Elastic Multi-Link Structures (Paperback, 1st ed. 2022)
Series: SpringerBriefs in Mathematics
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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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