Open AccessA time-dependent metric graph with a fourth-order operator on the edges
Author(s) -
Irina V. Blinova,
A.S. Gnedash,
I. Yu. Popov
Publication year - 2021
Publication title -
theoretical and applied mechanics/theoretical and applied mechanics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.279
H-Index - 6
eISSN - 2406-0925
pISSN - 1450-5584
DOI - 10.2298/tam200928007b
Subject(s) - metric (unit) , graph , amplitude , operator (biology) , rod , vibration , mathematics , variation (astronomy) , mathematical analysis , physics , discrete mathematics , optics , acoustics , medicine , biochemistry , operations management , chemistry , alternative medicine , repressor , pathology , astrophysics , transcription factor , economics , gene
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.