Title :
On the resonant oscillations of a plate in an unsteady flow
Author :
Sergeev, Vsevolod S.
Author_Institution :
Dorodnitsyn Comput. Center, Moscow, Russia
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;
Conference_Titel :
Mechanics - Seventh Polyakhov's Reading, 2015 International Conference on
Conference_Location :
Saint Petersburg
DOI :
10.1109/POLYAKHOV.2015.7106773
