A time-dependent metric graph with a fourth-order operator on the edges | Zendy

I.V. Blinova | Zendy; A.S. Gnedash | Zendy; I. Yu. Popov | Zendy

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A time-dependent metric graph with a fourth-order operator on the edges

Author(s) -

I.V. Blinova,

A.S. Gnedash,

I. Yu. Popov

Publication year - 2021

Publication title -

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.

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