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Theoretical and Applied Mechanics, 2021, Volume 48, Issue 2, Pages 187–200
DOI: https://doi.org/10.2298/TAM200928007B (Mi tam95) 		 
A time-dependent metric graph with a fourth-order operator on the edges

I. V. Blinova, A. S. Gnedash, I. Y. Popov

Department of Higher Mathematics, ITMO University, St. Petersburg, Russia
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DOI: https://doi.org/10.2298/TAM200928007B
Abstract: The metric graph model is suggested for description of elastic vibration in a network of rods under the assumption that the rod lengths vary in time. A single rod and star-like graph are considered. Influence of the length variation law on the vibration distribution is investigated. For high-frequency length variation one observes a fast transition to high-frequency amplitude distribution.
Keywords: metric graph, spectrum, time evolution.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation
This work was partially financially supported by the Government of the Russian Federation (grant 08-08).
Received: 28.09.2020
Accepted: 12.06.2021
Bibliographic databases:
Document Type: Article
MSC: Primary 74K10; Secondary 35G16
Language: English
Citation: I. V. Blinova, A. S. Gnedash, I. Y. Popov, “A time-dependent metric graph with a fourth-order operator on the edges”, Theor. Appl. Mech., 48:2 (2021), 187–200
Citation in format AMSBIB
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\paper A time-dependent metric graph with a fourth-order operator on the edges
\jour Theor. Appl. Mech.
\yr 2021
\vol 48
\issue 2
\pages 187--200
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\crossref{https://doi.org/10.2298/TAM200928007B}
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