Geodesic
Mathematical modeling of vibration devices
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M.T.Terekhin. Ryazan State University named for S.A. Yesenin, Ryazan, May 17-18, 2019. Part 1, Tome 185 (2020), pp. 37-49

Voir la notice de l'article provenant de la source Math-Net.Ru

Mathematical models of vibration devices designed to intensify technological processes are considered. Mathematical models are initial-boundary-value problems for coupled systems of partial differential equations for hydrodynamic functions and deformation functions of elastic elements. We examine the dynamics and dynamic stability of elastic elements. The study of dynamics is based of the Bubnov–Galerkin method. The study of dynamical stability is based on the construction of positive definite Lyapunov-type functionals.
Keywords: aerohydroelasticity, elastic plate, deformation, dynamics, stability, partial differential equation, Bubnov–Galerkin method, Lyapunov functional. 
@article{INTO_2020_185_a4,
     author = {P. A. Vel'misov and A. V. Ankilov and Yu. V. Pokladova},
     title = {Mathematical modeling of vibration devices},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
     pages = {37--49},
     publisher = {mathdoc},
     volume = {185},
     year = {2020},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2020_185_a4/}
}
TY  - JOUR
AU  - P. A. Vel'misov
AU  - A. V. Ankilov
AU  - Yu. V. Pokladova
TI  - Mathematical modeling of vibration devices
JO  - Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
PY  - 2020
SP  - 37
EP  - 49
VL  - 185
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/INTO_2020_185_a4/
LA  - ru
ID  - INTO_2020_185_a4
ER  - 
%0 Journal Article
%A P. A. Vel'misov
%A A. V. Ankilov
%A Yu. V. Pokladova
%T Mathematical modeling of vibration devices
%J Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory
%D 2020
%P 37-49
%V 185
%I mathdoc
%U http://geodesic.mathdoc.fr/item/INTO_2020_185_a4/
%G ru
%F INTO_2020_185_a4
P. A. Vel'misov; A. V. Ankilov; Yu. V. Pokladova. Mathematical modeling of vibration devices. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the All-Russian Scientific Conference «Differential Equations and Their Applications» dedicated to the 85th anniversary of Professor M.T.Terekhin. Ryazan State University named for S.A. Yesenin, Ryazan, May 17-18, 2019. Part 1, Tome 185 (2020), pp. 37-49. http://geodesic.mathdoc.fr/item/INTO_2020_185_a4/