Title :
Long-time dynamics and control of subsonic flow-structure interactions
Author :
Lasiecka, Irena ; Webster, J.T.
Author_Institution :
Dept. of Math., Univ. of Virginia, Charlottesville, VA, USA
Abstract :
In this paper we present recent results concerning nonlinear (von Karman and Berger) flow-structure interactions with a focus on stability, long-time dynamics, and convergence to equilibria. Flow-structure interactions describe the interaction of a flow of gas over a flexible plate. In particular, we (1) outline well-posedness results via nonlinear semigroup methods, (b) analyze damping mechanisms in the plate (interior and boundary), (c) discuss approaches to the study of long-time behavior of solutions (i.e. global compact attracting sets), and (d) present preliminary results concerning the asympototic smoothness of both the von Karman and Berger flow-structure systems with boundary damping. We conclude with an assessment of several open problems for both the von Karman and Berger flow-structure interactions.
Keywords :
asymptotic stability; boundary layers; damping; flexible structures; flow control; nonlinear dynamical systems; plates (structures); structural engineering; subsonic flow; Berger flow-structure systems; asympototic smoothness; boundary damping; damping mechanisms; flexible plate; gas flow interaction; global compact attracting sets; long-time behavior; long-time dynamics; nonlinear low-structure interactions; nonlinear semigroup methods; stability; subsonic flow-structure interactions; von Karman flow-structure systems; well-posedness results; Aerodynamics; Boundary conditions; Couplings; Damping; Equations; Mathematical model; Standards; coupled PDEs; flow-structure interaction; global attractors; nonlinear dynamical systems;
Conference_Titel :
American Control Conference (ACC), 2012
Conference_Location :
Montreal, QC
Print_ISBN :
978-1-4577-1095-7
Electronic_ISBN :
0743-1619
DOI :
10.1109/ACC.2012.6315219
