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

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

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 
@article{TAM_2021_48_2_a7,
     author = {I. V. Blinova and A. S. Gnedash and I. Y. Popov},
     title = {A time-dependent metric graph with a fourth-order operator on the edges},
     journal = {Theoretical and applied mechanics},
     pages = {187 - 200},
     publisher = {mathdoc},
     volume = {48},
     number = {2},
     year = {2021},
     url = {http://geodesic.mathdoc.fr/item/TAM_2021_48_2_a7/}
}
TY  - JOUR
AU  - I. V. Blinova
AU  - A. S. Gnedash
AU  - I. Y. Popov
TI  - A time-dependent metric graph with a fourth-order operator on the edges
JO  - Theoretical and applied mechanics
PY  - 2021
SP  - 187 
EP  -  200
VL  - 48
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TAM_2021_48_2_a7/
ID  - TAM_2021_48_2_a7
ER  - 
%0 Journal Article
%A I. V. Blinova
%A A. S. Gnedash
%A I. Y. Popov
%T A time-dependent metric graph with a fourth-order operator on the edges
%J Theoretical and applied mechanics
%D 2021
%P 187 - 200
%V 48
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TAM_2021_48_2_a7/
%F TAM_2021_48_2_a7
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. http://geodesic.mathdoc.fr/item/TAM_2021_48_2_a7/