Origination of in-phase oscillations of thin plates with aeroelastic interaction

Synchronization of oscillations of thin elastic plates that are walls of a gas-filled channel is considered. The gas motion is described by a system of Navier–Stokes equations, which is solved using the second-order MacCormack method with time splitting. The motion of the channel walls is described by a system of geometrically nonlinear dynamic equations of the theory of this plates, which is solved by the finite-difference method. Kinematic and dynamic contact conditions are imposed at the interface between the media. A numerical experiment is performed to determine typical dynamic regimes and study the transition of the aeroelastic system to in-phase oscillations.