A time-dependent metric graph with a fourth-order operator on the edges
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Published:2021
Issue:2
Volume:48
Page:187-200
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ISSN:1450-5584
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Container-title:Theoretical and Applied Mechanics
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language:en
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Short-container-title:Theor appl mech (Belgr)
Author:
Blinova I.V.1,
Gnedash A.S.1,
Popov I.Y.1
Affiliation:
1. Department of Higher Mathematics, ITMO University, St. Petersburg, Russia
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.
Publisher
National Library of Serbia
Subject
Applied Mathematics,Mechanical Engineering,Computational Mechanics