DocumentCode
708756
Title
On the resonant oscillations of a plate in an unsteady flow
Author
Sergeev, Vsevolod S.
Author_Institution
Dorodnitsyn Comput. Center, Moscow, Russia
fYear
2015
fDate
2-6 Feb. 2015
Firstpage
1
Lastpage
3
Abstract
The oscillations of a rigid plate with a viscoelastic support are investigated. The motions of the plate in an unsteady airflow are described by the Volterra integrodifferential equations. The system contains resonance caused by the small external perturbation. The limit periodic oscillations are determined, i.e. the motions exponentially tending at the unlimited increase of time to periodic oscillations. The limit trajectory of these oscillations is found in the first approximation on the phase plane.
Keywords
Volterra equations; flow instability; fluid oscillations; integro-differential equations; pulsatile flow; viscoelasticity; Volterra integrodifferential equations; periodic oscillations; plate motions; plate resonant oscillations; unsteady airflow; viscoelastic support; Approximation methods; Differential equations; Integrodifferential equations; Mathematical model; Oscillators; Springs; Stability analysis;
fLanguage
English
Publisher
ieee
Conference_Titel
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location
Saint Petersburg
Type
conf
DOI
10.1109/POLYAKHOV.2015.7106773
Filename
7106773
Link To Document