Geodesic
A time-dependent metric graph with a fourth-order operator on the edges
Theoretical and applied mechanics, Tome 48 (2021) no. 2, p. 187

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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.
DOI : 10.2298/TAM200928007B
Classification : 74K10, 35G16
Keywords: metric graph, spectrum, time evolution 
I. V. Blinova; A. S. Gnedash; I. Y. Popov. A time-dependent metric graph with a fourth-order operator on the edges. Theoretical and applied mechanics, Tome 48 (2021) no. 2, p. 187 . doi: 10.2298/TAM200928007B
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